Draw 10 sided polygon

Answers

Answer 1

The illustration of 10 sided polygon is attached below.

Polygons are closed geometric figures made up of line segments that are connected end-to-end. The number of sides of a polygon determines the polygon's name.

In mathematical terms, a decagon is a 10-sided polygon with 10 vertices and 10 angles.

To draw a decagon, we need to start by drawing a circle. We can use a compass to draw a circle of any size we want. The radius of the circle will determine the size of the decagon.

Next, we need to draw a horizontal line through the center of the circle. This line will be the base of the decagon, and it will divide the circle into two equal halves.

Since a decagon has 10 sides, we need to divide the circle into 10 equal parts.

We can then use these lines as guides to draw the sides of the decagon. We start at one of the points where the lines intersect the circle, and draw a line segment to the next point.

We can label the vertices of the decagon with numbers, starting with 1 and going clockwise, as shown in the diagram.

To know more about polygon here.

https://brainly.com/question/24464711

#SPJ4

Draw 10 Sided Polygon

Related Questions

Eva deposits $2,000 in a savings account with an interest rate of 5% compounded continuously. She decides not to deposit or withdraw any money after the initial deposit. She uses the formula A = Petto represent her account balance, A, after t years, where r is the rate of interest and P is the beginning balance, or principal. How long will it take for Eva's initial deposit to double?​

Answers

It take 20 years for Eva's initial deposit to double?.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Eva deposits $2,000 in a savings account with an interest rate of 5% compounded continuously.

Here, Principal amount = $2000

Amount = $4000

Interest rate = 5%

Now, We know that;

⇒ Interest = PRT

Substitute all the values, we get;

⇒ 2000 = 2000 × 0.05 × T

⇒ T = 1/0.05

⇒ T = 100/5

⇒ T = 20 years

Learn more about simple interest visit;

brainly.com/question/2294792

#SPJ1

Use an algebraic method (substitution or elimination) to solve the system of equations. Show your work.

PLEASE HELP!!!!

4X − 2Y = 16

2X + 3Y = 32

Answers

Answer:

X=7

Y=6

Step-by-step explanation:

Divide the 1st equation by 2.

2x+3y=32

2x-y=8

When you subtract those 2 numbers, you get that 4y=24.

Y=6

32-6*3=14=2x

X=7

When can a correlation coefficient based on an observational study be used to support a claim of cause and effect? A. Never B. When the correlation coefficient is close to -1 or +1. C. When the correlation coefficient is equal to -1 or +1. D. When the scatterplot of the data has little vertical variation.

Answers

Option A. Never. A correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.

However, a strong correlation between two variables does not necessarily mean that one causes the other. This is because there may be other factors, known as confounding variables, that affect both variables simultaneously. Therefore, it is not appropriate to use a correlation coefficient to establish a causal relationship between two variables. In order to establish causality, more rigorous methods such as randomized controlled trials must be used, which attempt to isolate the effect of one variable on another while holding other factors constant.

Learn more about correlation coefficient here: brainly.com/question/15577278

#SPJ4

A number increased by five percent result is then increased by five percent what is the percent of increase

Answers

Answer:

Step-by-step explanation:

find the area of the surface generated when the given curve is revolved about the given axis.

Answers

The area of the surface generated when the given curve is revolved about the given axis 5x^1/3 is [tex]\frac{\pi }{675} [34\sqrt{34} - 125][/tex].

The curve x = f(y)

The area of the surface around the y-axis from y = a → y = b is:

[tex]\int\limits^a_b {2\pi x\sqrt{1+(\frac{dx}{dy})^2 } } \, dx[/tex]

From the given curve:

[tex]y = 5x^{1/3}[/tex] ; assuming the region bounded by the curve is 0 ≤ y ≤ 1

So;

    [tex]y = 5x^{1/3}[/tex]

⇒ 5x = y³

⇒ x = 1/5 y³

The differential of the above equation Is:

   dx/dy = 1/5 (3y²)

⇒ dx/dy = 3/5 (y²)

Now, we have the area of the surface produced around the curve  [tex]y = 5x^{1/3}[/tex] through the y axis from the region y = 0 to y = 1

∴ [tex]\int\limits^1_0 {2\pi \frac{1}{5}y^3\sqrt{1+(\frac{3}{5} y^2)^2} } \, dx[/tex]

= [tex]\frac{2\pi }{5} \int\limits^1_0 {y^3\sqrt{1+(\frac{9}{25} y^4)} } \, dy[/tex]

= [tex]\frac{2\pi }{5} \int\limits^1_0 {y^3\sqrt{\frac{25+9y^4}{25})} } \, dy[/tex]

= [tex]\frac{2\pi }{5} \int\limits^1_0 {y^3\sqrt{25+9} y^{4} )} } \, dy[/tex]

Let make u = [tex]\sqrt{25+9y^{4} }[/tex]

It implies that:

[tex]u^3 = (25+9y^4) \sqrt{25+9y^4}[/tex]

and, [tex]u = \sqrt{25+9y^{4} }[/tex]

⇒ [tex]du = \frac{1}{2\sqrt{25+9y^4} } (36y^3) dy[/tex]

⇒ [tex]y^3dy = \frac{1}{18} \sqrt{25+9y^{4} }du[/tex]

when y = 0 ;

[tex]u = \sqrt{25+9y^{4} }[/tex]

[tex]u = \sqrt{25+9{(0)^4} }[/tex]

[tex]u = \sqrt{25 }[/tex]

u = 5

when y = 1;

[tex]u = \sqrt{25+9{(1)^4} }[/tex]

[tex]u = \sqrt{34} }[/tex]

∴The equation [tex]\frac{2\pi }{5} \int\limits^1_0 {y^3\sqrt{25+9} y^{4} )} } \, dy[/tex]  can be written as:

= [tex]\frac{\pi }{225} [\frac{u^3}{3} ]\left \{ {{y=\sqrt{34} } \atop {x=5}} \right.[/tex]

= [tex]\frac{\pi }{675} [34\sqrt{34} - 125][/tex]

Therefore,

The area of the surface generated when the given curve is revolved about the given axis 5x^1/3 is [tex]\frac{\pi }{675} [34\sqrt{34} - 125][/tex].

Complete Question:

Find The area of the surface generated when the given curve is revolved about the given axis 5x^1/3.

Learn more about Area:

https://brainly.com/question/27683633

#SPJ4

Your weight on planets different is affected by gravity 50 £ 55 pounds on Mars the same ways only to 24 pounds on the moon what percent of an object earth weight is it weight on mars and
on the moon

Answers

The weight of an object on Mars is 50-55 pounds, which is approximately 83-92% of its weight on Earth. The weight of an object on the Moon is 24 pounds, which is approximately 40% of its weight on Earth.

Answer:

Assuming the weight of the object on Earth is 100 pounds, its weight on Mars would be:

(50 / 100) x 100 = 50 pounds

So the weight of the object on Mars is 50% of its weight on Earth.

Similarly, the weight of the object on the moon would be:

(24 / 100) x 100 = 24 pounds

So the weight of the object on the moon is 24% of its weight on Earth.

What is the discount for a retail price of $892 and a discount rate of 12%

Answers

Just do 892* 0.12
Which 0.12= 12%
Final answer: 107.04

I need help someone!! Please helpPP

Answers

Answer:

60

Step-by-step explanation:

Plsss help
Find the exact are of the shaded region. Point I marks the center of the circle.

Answers

The area of the shaded region that is the segment of the circle is equal to 4.6 ft² to the nearest tenth.

How to calculate the area of the circle segment

To calculate the area of a segment of a circle, you need to know the radius of the circle, the central angle of the segment (in radians or degrees), and possibly the height of the segment (the distance from the chord of the segment to the center of the circle).

The formula for the area of a segment of a circle is:

A = θ/360° × πr² - 1/2 × r² × sinθ

where A is the area of the segment, r is the radius of the circle, and θ is the central angle of the segment in degrees.

From the question;

the central angle = 90°

radius r = 4ft

Area of the segment = 90°/360° × π4² - 1/2 × 4² × sin90°

Area of the segment = 1/4 × π × 4 × 4 - 1/2 × 4 × 4 × 1 {sin90° = 1}

Area of the segment = 4π × 8

Area of the segment = 4.5714

Therefore, the exact area of the shaded region that is the segment of the circle is equal to 4.6 ft² to the nearest tenth

Know more about area here: https://brainly.com/question/2999620

#SPJ1

What is antiderivative of sin?

Answers

The antiderivative of sin is -cos(x) + C.

The antiderivative of a function is the inverse operation of differentiation which is is also known as its indefinite integral.

So, the integral of sin

                 ∫sin(x) = -cos(x) + C

where C = constant of integration.

This can be verified by differentiating -cos(x) + C with respect to x, which gives sin(x).

Learn more about indefinite integral from the below link:

https://brainly.com/question/28036871

#SPJ4

Eliana's bedroom door is 7 feet tall and 4 feet wide. A new door would cost $5.09 per square foot. How much would a new bedroom door cost in total?

Answers

Therefore , the solution of the given problem of area comes out to be

a new bedroom door would cost $142.52 in total.

A Surface Area is what?

Its surface area serves as a fair guide of its total size. The environment is considered when calculating the right triangle squared. Everything's overall size is determined by its surface area. The volume of water inside a cuboid is equal to the sum of the contents from each of its twelve vertical sides. To determine the box's dimensions, use the formula below: 2lh, 2lw, and 2hW symbolise the area (SA). The full surface area of the flexible shape serves as the area's representation.

Here,

The area of the door is:

Area = height x width

Area = 7 ft x 4 ft

Area = 28 sq ft

The cost per square foot is $5.09, so the total cost of the new door would be:

Cost = Area x cost per square foot

Cost = 28 sq ft x $5.09/sq ft

Cost = $142.52

Therefore, a new bedroom door would cost $142.52 in total.

To know more about surface area visit:

https://brainly.com/question/2835293

#SPJ1

1. find the square roots of (a) 2i; (b) 1−√3i and express them in rectangular coordinates.

Answers

a) The square root of complex number, 2i is equals to the ±( 1 + i).

b) The square root of complex number, (1 - √3i) is equals to the ±1/√2(√3 - 1). The rectangular coordinates plane of both present in above figure.

Square root of a number is defined as a value which on multiplication by itself, results the original number. If p is the square root of q then it is denoted as p=√q. We have to determine the square root of complex numbers and express them in rectangular coordinates. For a nonzero complex number z, its square roots are √z =√r exp( i(2πk + θ)/2), k = 0,1

(a) The magnitude of 2i is r =√(2² + 0) = 2, and the principal argument is θ = π/2. So, (2i)½ = r½ exp(i (2πk + π/2)/2) , k = 0, 1

For first root, substuting, k = 0

=> (2i)½ = 2½ exp(i (2π×0 + π/2)/2)

=> (2i)½ = √2 exp(i (π/2)/2)

=> (2i)½ = √2 exp(i π/4) = √2(cos(π/4) + i sin(π/4)

=> (2i)½ = √2( 1/√2 + i(1 /√2)) = 1 + i

For second root substuting, k = 1

=> (2i)½ = 2½ exp(i (2π×1 + π/2)/2)

=> (2i)½ = √2 exp(i (5π/2)/2)

=> (2i)½ = √2 exp(i (5π/4) = √2( cos(5π/4) + i sin(5π/4)

=> (2i)½ = √2(- 1/√2 + i(-1 /√2)) = - (1 + i)

Hence, square root of 2i is ±( 1 + i).

b) 1 -√3i

The magnitude and principal argument of 1 −√3i are respectively, r = √(1² + (√3)²) = 2 and θ = tan⁻¹ ( -√3/1) = - π/3. Similar to part(a), square root of (1 - √3i) is written as (1 - √3i)½ = r½ exp(i (2πk - π/3)/2), k= 0, 1

For first root , k = 0

(1 - √3i)½ = √2 exp(i (2π×0 - π/3)/2)

=> (1 - √3i)½ = √2 exp(i (- π/6) )

=> (1 - √3i)½ = √2( cos(-π/6) - i sin(π/6))

=> (1 - √3i)½ = √2( cos(π/6) - i sin(π/6))

=> (1 - √3i)½ = √2( √3/2 - i (1/2)) = 1/√2(√3 - 1)

For second root, k = 1

(1 - √3i)½ = √2 exp(i (2π×1 - π/3)/2)

=> (1 - √3i)½ = √2 exp(i (5π/3)/2)

=> (1 - √3i)½ = √2 exp(i (5π/6))

=> (1 - √3i)½ = √2 (cos(5π/6) + i sin(5π/6))

=> (1 - √3i)½ = √2 (- √3/2 + i(1/2) ) = - 1/√2(√3 - i)

so, (√1- √3i ) is ± 1/√2(√3 - 1). Hence, we got all required square roots.

To learn more about complex numbers, visit:

https://brainly.com/question/1245664

#SPJ4

Complete question:

1. Find the square roots of (a) 2i; (b) 1 - √3i and express them in rectangular coordinates.

Use the trapezoid shown to mark each statement below as true or false. 10 If false, rewrite the statement correctly in the space below the statement. 4. The length of AB can be found using 32 + b² = 4². 5. The perimeter of the trapezoid shown is 22 units.​

Answers

The statement is false, the perimeter of the trapezoid shown is 23 units

How to find the perimeter of a trapezoid?

To find the perimeter of a trapezoid, you need to add the lengths of all four sides of the trapezoid.

A trapezoid is a four-sided figure with two parallel sides (the bases) of different lengths. The other two sides are called the legs.

The formula for the perimeter of a trapezoid is:

Perimeter = sum of all sides = base1 + base2 + leg1 + leg2

where base1 and base2 are the lengths of the parallel sides and leg1 and leg2 are the lengths of the non-parallel sides.

So, to find the perimeter of a trapezoid, you need to measure or know the length of all four sides and then add them up using the formula above.

Read more about trapezoids here:

https://brainly.com/question/1463152

#SPJ1

Use the trapezoid shown to mark each statement below as true or false. if false, please rewrite the statement correctly in the space below the statement!

Q: The perimeter of the trapezoid shown is 22 units.

True false?

What is the area of the circle in the figure below ?

Answers

Answer:

100[tex]\pi[/tex]

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex]

The diameter is 20,.  The radius is 1/2 of the diameter.

A = [tex]\pi 10^{2}[/tex]

A = [tex]\pi 100[/tex]

Answer:

Step-by-step explanation: That is actually the hidden number that is on the other side of the circle so it says how or what numbers is on the hidden circle so good luck finding the number

Chris is 6 feet tall and he casts a shadow that is 5 feet longHe measures that the shadow cast by the school building is 30 feet longHow tall is the school building?

Answers

The school building is 36ft tall.

What is Pythagoras theorem?

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Chris is 6 feet tall and he casts a shadow that is 5 feet long

He measures that the shadow cast by the school building is 30 feet long

We can say the ratios will be same  6/h = 5/30

h =6 × 6 = 36 ft

Hence the school building is 36ft tall.

Learn more about Pythagoras' theorem, by the following link

https://brainly.com/question/231802

#SPJ1

Determine the type of distribution and the best measure of center and spread of the data set. 1, 7, 11, 14, 17, 17, 17, 21, 21, 23, 23, 26 The distribution is SO and (Type integers or decimals rounded to the nearest tenth as needed.) ... best represent the data set.​

Answers

The mean of the data is 16.5 and the standard deviation is 7.28

What is the distribution of the data

The given data set is a small sample of 12 observations.

To determine the type of distribution, we can first create a histogram or a boxplot of the data.

A histogram of the data shows that the distribution is unimodal and slightly right-skewed.

Alternatively, we can calculate the skewness of the data. If the skewness is close to zero, then the data is approximately symmetric. If the skewness is positive, then the data is right-skewed. If the skewness is negative, then the data is left-skewed.

Calculating the skewness of the data set, we get:

skewness = (n / ((n - 1) * (n - 2))) * Sum[(xi - x-bar)^3 / s^3]

where n is the sample size, x-bar is the sample mean, s is the sample standard deviation, and Sum is the sum of the values in the data set.

Using this formula, we get a skewness of approximately 0.456, which indicates that the distribution is slightly right-skewed.

Based on these findings, we can conclude that the distribution of the data set is approximately normal, but slightly right-skewed.

To find the best measure of center and spread, we can calculate the sample mean and sample standard deviation, respectively.

Sample mean:

mean = (1 + 7 + 11 + 14 + 17 + 17 + 17 + 21 + 21 + 23 + 23 + 26) / 12 = 16.5

Sample standard deviation:

s = sqrt((1/11) * [(1 - 16.5)^2 + (7 - 16.5)^2 + ... + (26 - 16.5)^2]) = 7.28

Therefore, the best measure of center for this data set is the sample mean of 16.5, and the best measure of spread is the sample standard deviation of 7.28.

Learn more on mean here;

https://brainly.com/question/14532771

#SPJ1

Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.

Vertical plane x intersects horizontal plane y. Line R S is horizontal on plane y. Lines A B and C G are vertical and beside each other on plane x. A right angle is indicated between the lines on the y plane and x plane. Lines A B and D G are parallel.

Which statements are true? Select three options.

Answers

The following statements are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

What is a line segment?

A line segment is a section of a straight line that is enclosed by two clearly defined endpoints and contains every point on the line located within. The Euclidean distance between two ends of a line segment determines its length.

Here, we have

Given: Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.

A) Line AB and Line CG are parallel: As both lines, AB and CG lie in plane X. Thus both are parallel and option A is the correct option.

B) Line AB and Line RS are parallel: As a line, AB lies in plane X and line RS lies in plane Y. Thus both are perpendicular and not parallel. Option B is the incorrect option.

C)Line CG and Line RS are perpendiculars: As line CG lies in plane x and line RS lies in plane Y. Thus both are perpendicular. Option C is the correct option.

D) Line AB and Line RS must intersect: line RS passes from the middle of plane Y and line AB passes from the left of plane X center. Thus they do not intersect each other. Option D is the incorrect option.

E) Line segment CG lies in plane X: As shown in the diagram, line CG lies in plane X. Thus option E is the correct option.

F) Line segment RS lies in plane X: As shown in the diagram, and the line lies RS in plane Y. Thus option F is the incorrect option.

Hence, The following statements are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

To learn more about the line segment from the given link

https://brainly.com/question/280216

#SPJ1

I need help on these two

Answers

The prepositional phrase would be B. of the bees.

The prepositional phrase would be C. he took shelter.

What is a prepositional phrase ?

A prepositional phrase is a group of words that includes a preposition (such as "in," "on," "at," "by," "with," etc.) and a noun or pronoun object, along with any associated modifiers.

Prepositional phrases can be used in a variety of ways, including to describe location, time, possession, and other relationships between words in a sentence. In the given statements, the prepositional phrases would be "of the bees" and " he took shelter. "

Find out more on prepositional phrases at https://brainly.com/question/10707375


#SPJ1

Your checking account has a constant balance of $500. Let the function m represent the balance of your savings account after t years. The table shows the total balance of the accounts over time.

Answers

This equation can be used to predict the balance of the savings account after t years.

What is equation?

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


We can graph the data in a line graph to visualize the relationship between the two variables. The graph will have time (t) represented on the x-axis and the balance of the savings account (m) represented on the y-axis. The graph will demonstrate that the total balance of the two accounts increases over time.

The equation that models this data can be found by using the slope-intercept form, y = mx + b. Here, y represents the balance of the savings account (m), x represents the time (t), m is the slope of the line, and b is the y-intercept. To find the equation, we can first find the slope, which is the change in y divided by the change in x. This is (2,800 - 500) / (3 - 0) = 2,300 / 3 = 766.67. The y-intercept is the balance of the savings account when t = 0, which is 500. We can now write the equation as m = 766.67x + 500. This equation can be used to predict the balance of the savings account after t years.

To know more about equation click-
https://brainly.com/question/26408808
#SPJ1

Determine the height of a picture when the total height of the picture with the frame is 38.5 cm.

Answers

A graph of the relationship modeled by the equation is shown in the image attached below.

If the graph continues, the point (28, 24) will not be on the graph.

The height of a picture when the total height of the picture with the frame is 38.5 cm would be 34.5 cm.

How to graph the relationship modeled by the equation?

In this scenario, the total height of a picture in its frame (in centimeters) would be plotted on the y-axis of the graph while the height of the picture (in centimeters) would be plotted on the x-axis of the graph.

Based on the ordered pair (28, 24), we would determine if it lies on the graph of the equation:

y = x + 4

24 = 28 + 4

24 = 32 (False).

When the total height of the picture with the frame is 38.5 cm, the height of a picture can be calculated as follows;

y = x + 4

38.5 = x + 4

x = 38.5 - 4

x = 34.5 cm.

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Complete Question:

The equation y = x + 4 models the total height of a picture in its frame, y, in centimeters with respect to the height of the picture, x, in centimeters.

a. Graph the relationship modeled by the equation. Be sure to label the axes.

b. If the graph continues, will the point (28, 24) be on the graph?

c. Determine the height of a picture when the total height of the picture with the frame is 38.5 cm.

1) h(n) = 32¹; Find h(0)
2n

Answers

The function h(0) when evaluated is 3

How to evaluate the function

From the question, we have the following parameters that can be used in our computation:

h(n) = 3(2)^n

Given that

h(0)

This means that

n = 0

Substitute the known values in the above equation, so, we have the following representation

h(0) = 3(2)^0

Evaluate

h(0) = 3

Hence, the value is 3

Read more about function at

https://brainly.com/question/28277110

#SPJ1

Drag and drop the labels to classify the pairs of angles formed by a transversal intersecting two parallel lines. Each label may be used once, more than once, or not at all.

Answers

Alternate interior angles - Congruent

Corresponding angles - Neither

Same side interior angles - Supplementary

What are alternate angles?

Alternate angles are a type of angle formed when a straight line intersects two parallel lines. When this happens, alternate angles are formed on opposite sides of the transversal (the line that intersects the parallel lines).

Alternate angles are also known as "alternate interior angles" because they are located inside the parallel lines, but on opposite sides of the transversal. They are called "alternate" because they are located on opposite sides of the transversal and they are congruent, meaning they have the same angle measure.

Learn more about angles:https://brainly.com/question/28451077

#SPJ1

Suppose we want to compute x ≡ a^b (mod pq) for primes p and q, utilizing the Chinese Remainder Theorem and Fermat's Little Theorem. Select the true statements. The Chinese Remainder Theorem guarantees a unique solution to any system of modular equations. Fermat's Little Theorem allows us to conclude that ap^−1≡1(mod p) for any integer a and any prime p. By CRT,x=(a^b mod p) (q^−1 mod p) q + (ab mod p)(p^−1 mod q) p
By CRT,x=(a^b mod q)(q^−1 mod p) q + (a^b mod q)(p^−1 mod q) p
Ifb≥p, then a^b−p+1≡a^b (mod p)
If b ≡ c (mod p), then a^b≡a^c (mod p)

Answers

The true statements are: The Chinese Remainder Theorem guarantees a unique solution to any system of modular equations.

Fermat's Little Theorem allows us to conclude that ap^−1≡1(mod p) for any integer a and any prime p.

The first formula given in the question for computing x using CRT is also true.

Statement 3, "If b≥p, then a^b−p+1≡a^b (mod p)", is not necessarily true. Fermat's Little Theorem states that if p is prime and a is not divisible by p, then a^(p-1) ≡ 1 (mod p). However, this does not extend to arbitrary exponents b.

Statement 4, "If b ≡ c (mod p), then a^b≡a^c (mod p)" is true by Fermat's Little Theorem, which implies that a^(p-1) ≡ 1 (mod p), we can write b = kp + c for some integer k, then

a^b = a^(kp+c) = (a^p)^k * a^c ≡ a^c (mod p)

since a^p ≡ a^(p-1) * a ≡ 1 * a ≡ a (mod p) by Fermat's Little Theorem.

To know more about remainder :-

brainly.com/question/30302805

#SPJ4

Carrie spent half of her allowance playing mini golf. She then earned $12 more babysitting. What is her weekly allowance if she has $24 left?

Answers

Answer: her allowance is $24

Step-by-step explanation:

how many ounces to a milliliter

Answers

Answer:

1 fluid oz = 29.5735 milliliters

Step-by-step explanation:

What are units?

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

1oz = 29.5735ml1ml = 0.033814oz

Therefore, for every 1 fluid ounce, it is equivalent to 29.5735 milliliters.

which of the following methods can enid use to test her claim? choose the two correct answers. responses she could calculate the ratio change in calories burned to change in miles jogged for two data point and compare the results to the same ratio with two other data points. she could calculate the ratio change in calories burned to change in miles jogged for two data point and compare the results to the same ratio with two other data points. she could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points. she could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points. she could put the data in a table and check to see that the difference between the number of calories burned changes by the same amount for each row. she could put the data in a table and check to see that the difference between the number of calories burned changes by the same amount for each row. she could calculate the ratio between the number of calories burned for each pair of jogs and see if the ratio is always the same.

Answers

She should figure out how many calories she burned compared to how many miles she ran, which is the proper statement.

What is a ratio?

When two amounts are quantitatively related, it is possible to see how many times one value contains or is contained by the other. for instance, "There are now two computers for every student."

Given here: The table containing data calories vs miles run.

Calculating the ratio between each pair of data in a table allows you to determine whether a proportional relationship is there. The table depicts a proportionate relationship if all of those ratios are the same.

Thus calculating the ratio for each pair of entries we get

1) ratio=118/1.2

=295:3a  or unit rate 98.33 calories per mile

2) 190/2= 95:1 or unit rate 95 calories per mile

3) 226/2.4=565:6 or unit rate94.1

clearly, the ratios are different.

Hence, the table containing the data doesn't form a proportional relationship.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ1

In a recent year, Saudi Arabia produced 8.2 million
barrels of crude oil per day. The United States
produced 6.4 million barrels per day. Use a percent to
state how much more Saudi Arabia produced than the
United States did.

Answers

In a recent year, Saudi Arabia produced 8.2 million barrels of crude oil per day, compared to 6.4 million barrels per day for the United States. This was 28% more than what the United States produced.

Saudi Arabia now consumes 1.8 million more barrels of crude oil per day than the United States does. Crude Oil from Saudi Arabia: In January 2023, production was reported at 10,319,000 barrels per day, down from 10,475,000 barrels per day in the previous year.

In November 2022, crude oil production in Saudi Arabia was 10,468 thousand barrels per day, down from 10,957 thousand barrels per day the year before.

Learn more about Percentage:

https://brainly.com/question/24877689


#SPJ4

If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?

Answers

After all these transformations, point A' will lie on the left side of the y-axis with the same y-coordinate as A, and point A''' will lie on the right side of the y-axis with the same x-coordinate as A.

What is parallelogram ?

A parallelogram is a quadrilateral with two pairs of parallel sides.

If parallelogram ABCD is reflected over the y-axis, all the x-coordinates of the vertices will change sign while the y-coordinates remain the same. This means that A will be reflected to a point A' on the left side of the y-axis with the same y-coordinate as A.

If the reflected parallelogram is then reflected over the x-axis, all the y-coordinates of the vertices will change sign while the x-coordinates remain the same. This means that A' will be reflected to a point A'' below the x-axis with the same x-coordinate as A'.

Finally, if the reflected and flipped parallelogram is rotated 180 degrees, all points will be reflected over the origin. This means that A'' will be reflected to a point A''' on the right side of the y-axis with the same x-coordinate as A'' (which is the same as A).

Therefore, after all these transformations, point A' will lie on the left side of the y-axis with the same y-coordinate as A, and point A''' will lie on the right side of the y-axis with the same x-coordinate as A.

To learn more about Parallelogram from given link.

https://brainly.com/question/29147156

#SPJ1

A triangle has angles of −3,2+8, 3−17. Solve for g and find the measures of the
angles

Answers

The measures of the angles of the triangle are:

Angle 1: −3 degrees
Angle 2: 10 degrees
Angle 3: −14 degrees

To solve for g and find the measures of the angles of the triangle, we need to use the fact that the sum of the angles in a triangle is 180 degrees. This means that:

−3 + (2+8) + (3−17) = 180

Simplifying the equation, we get:

−3 + 10 + (−14) = 180

−7 = 180

To solve for g, we need to isolate it on one side of the equation. To do this, we can add 7 to both sides of the equation:

g = 180 + 7

g = 187

Now, we can plug g back into the original equation to find the measures of the angles:

−3 + (2+8) + (3−17) = 187

−3 + 10 + (−14) = 187

−7 = 187

Therefore, the measures of the angles of the triangle are:

Angle 1: −3 degrees
Angle 2: 10 degrees
Angle 3: −14 degrees

I hope this helps! Let me know if you have any further questions.

Learn more about measures of the angles here: https://brainly.com/question/25716982

#SPJ11

1. A young man rents an apartment for $850 / month. His

sister buys a house with a $20,000 down payment and

monthly mortgage payments of $1,150. Determine who spends

more over the 30-year period that her mortgage lasts,

assuming that both living situations remain the same. Who is in

a better position as far as having a financial asset?

Answers

a) The sister spends more (making total payments of $414,000) over the 30-year period than the young man, who spends $306,000.

b) Assuming both living situations are the same, the sister is in a better position as far as having a financial asset is concerned.

How the numbers are determined:

The numbers are determined using the mathematical operations of multiplication and subtraction.

The monthly rent for an apartment = $850

The total payments for 30 years = $306,000 (30 x 12 x $850)

Sister's Payment for a Mortgaged House:

Down payment = $20,000

Monthly mortgage payments = $1,150

The total payments for 30 years = $414,000 ($1,150 x 360)

The difference in total payments = $108,000 ($414,000 - $306,000)

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

Other Questions
please help me solve this paragraph proof for geometry, ill mark brainliest let a . construct a 22 matrix b such that ab is the zero matrix. use two different nonzero columns for b. question content area bottom part 1 b enter your response here gotta get it done real quick b4 i get a F Fill The Blank? relative major and minor tonics are separated by a_________ 1:Sam arrives at an amusement park with $61 that hecan spend at the amusement park. The entrance fee atthe amusement park is $20. It costs $3 to play a gameand $4 for each ride. He plays 6 games and goes on x.rides. The inequality shown below represents thissituation.38+4x61The solution of the inequality is x 5.75. Based on thesolution, which statement must be true?A.Sam went on at most 5 ridesB.Sam went on at most 6 ridesC.Sam went on more than 6 ridesD.Sam went on fewer than 5 rides Consider the following definition. Definition. A integer n is frumpable if n2 2n is odd. Prove: All frumpable numbers are odd Suppose n is an even integer, so n =___ for some integer k. Then n2+2n- is ___ =2 ___ How are "2001: A Space Odyssey" and "Star Trek: Voyager" related to Homer's story of Odysseus? a. Mankind has filled space with stories, and these stories build on each other.b. They are metaphorical odysseys of mankind.c. They become journeys ofdiscovery and self-discovery.d. All of the above. which physiological process explains why a child who has chills and a temperature of 104 I need help. Is it A, B, C or D?? Please help congenital abnormalities are the leading cause of death in which age group? The line models the cost of renting a kayak. Write an equation in slope-intercept form for the line, where x is the number of hours the kayak is rented and y is the total cost of renting the kayak. determine if the following graphs have a slope that is positive,negative,zero,or underfined. when people want to suppress a thought, the automatic mind works to ____. what does the phrase ""last of the revolutionary farmers"" mean? Can somebody write a paragraph on What does power have to do with history? I dont have much time. Ill give 50 points and please be sure to make the paragraph using this structure. why do some ionic compounds contain a roman numeral? as the body jumps into the air, what three factors other than gravity and air resistance influence the trajectory of the body as described in exsc 350? which characteristic applies to visceral obesity? which category of ethics fits best with stem cell research? 2. what does the arteriovenous oxygen difference describe?