A cylinder is sliced such that the cross section is perpendicular to its bases. What is the shape of the cross section?a) circleb) rectanglec) trapezoidd) triangle

Answer:

May you please give me the brainliest answer:

To find the value of x, we can set the two given equations equal to each other, since they both represent the same value of y:

2/3x + 8 = 1/2x + 10

We can simplify this equation by first getting rid of the fractions. To do this, we can multiply both sides of the equation by the least common multiple of the denominators, which is 6:

6(2/3x + 8) = 6(1/2x + 10)

4x + 48 = 3x + 60

Next, we can isolate the x term on one side of the equation by subtracting 3x from both sides:

4x - 3x + 48 = 60

Simplifying this gives:

x + 48 = 60

Finally, we can isolate x by subtracting 48 from both sides:

x = 60 - 48 = 12

Therefore, x = 12.

Answer:
Unit Rate: $10/km

Equation: x=y/10 or y=10x

MN= 17.09 cm

NMV =16.31°

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.

From the given image,

MV = 1/2 VS = 6cm (midpoint)

NV = 1/2YV  = 5cm (midpoint)

MV = [tex]\sqrt{MV^2 + UV^2} = \sqrt{6^2 + 16^2}[/tex] = 17.09 cm

MN= [tex]\sqrt{MV^2 + MU^2} = \sqrt{6^2 + 16^2 + 5^2}[/tex] = 17.80cm

TanNMV = NU/MV = 5/17.09

= 16.31°

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Answer: a) To find the height of the pyramid, we can use the Pythagorean theorem. Let H be the height of the pyramid, and let M be the midpoint of QR. Then, PM is half of PQ, which is 15 cm. We can use the Pythagorean theorem to find H:

H^2 = PQ^2 - PM^2

H^2 = 30^2 - 15^2

H^2 = 675

H = sqrt(675) = 5 sqrt(3) cm

b) To find the angle that PS makes with the base QRST, we can use trigonometry. Let A be the foot of the perpendicular from P to the base QRST, and let B be the midpoint of PS. Then, we have:

tan(angle PSB) = AB / PB

Since triangle PAB is a right triangle, we can use the Pythagorean theorem to find AB:

AB^2 = AP^2 - PB^2

AB^2 = H^2 + (PQ/2)^2 - PB^2

AB^2 = (5 sqrt(3))^2 + (15/2)^2 - PB^2

AB^2 = 225/4 + 75 - PB^2

AB^2 = 375/4 - PB^2

Since triangle PBS is also a right triangle, we can use the Pythagorean theorem to find PB:

PB^2 = PS^2 - BS^2

PB^2 = (2 H)^2 - (PQ/2)^2

PB^2 = 4 (5 sqrt(3))^2 - (15/2)^2

PB^2 = 500 - 56.25

PB^2 = 443.75

Substituting these values into the equation for tan(angle PSB), we get:

tan(angle PSB) = sqrt(375/4 - 443.75) / sqrt(443.75)

tan(angle PSB) = -0.4385

Since angle PSB is in the second quadrant, we have:

angle PSB = 180 degrees + arctan(-0.4385) = 152.4 degrees (rounded to one decimal place)

c) To find the total surface area of the pyramid, including the base, we can divide the pyramid into four triangular faces and a square base. The area of each triangular face can be found using the formula:

area = (1/2) base * height

where the base is the length of one edge of the square base, and the height is the height of the pyramid. The area of the base is simply the area of the square QRST, which is (20 cm)^2 = 400 cm^2. Therefore, we have:

area of each triangular face = (1/2) (20 cm) (5 sqrt(3) cm) = 50 sqrt(3) cm^2

total surface area = 4 (50 sqrt(3) cm^2) + 400 cm^2 = 200 sqrt(3) cm^2 + 400 cm^2

total surface area = (200 + 200 sqrt(3)) cm^2 ≈ 532.4 cm^2 (rounded to one decimal place)

Step-by-step explanation:

The store must sell 30 bicycles each month to break even.

To break even, the total revenue from selling bicycles must be equal to the total cost of operating the store. Let's calculate the revenue and cost of the store for selling x bicycles in a month.

Revenue from selling x bicycles = selling price per bike × number of bikes sold

= $195x

Cost of operating the store = fixed cost + variable cost

= $4200 + (cost per bike × number of bikes sold)

= $4200 + ($55x)

To break even, the revenue must equal the cost. So we can set up the linear equation equation:

$195x = $4200 + $55x

Solving for x, we get:

$140x = $4200

x = $4200 / $140

x = 30

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The number of fiction books is given as follows:

58 fiction books.

The number of fiction books is obtained applying the proportions in the context of the problem.

The total number of books is of 580, while the percentage of fiction books is of 10%. Hence the number of fiction books is obtained as follows:

0.1 x 580 = 58 fiction books.

The percentage of fiction books is of 10%.

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The complete expression that gives equivalent values is:

x⁻⁸ . x⁹ = x⁻⁶ . x⁷ = x⁻⁴ . x⁵ = x¹ = x⁻² . x³

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

x⁻ . x = x⁻ . x = x⁻ . x = x = x⁻ . x

Where the exponents are blank

There is no general answer to this, and one of the possible solutions is as follows:

To start with, we create an expression of the following format:

x⁻ⁿ . xⁿ⁺¹ = x¹

Using the above as a guide, we have the following:

x⁻⁸ . x⁹ = x¹

x⁻⁶ . x⁷ = x¹

x⁻⁴ . x⁵ = x¹

x⁻² . x³ = x¹

So, the equivalent expression is x⁻⁸ . x⁹ = x⁻⁶ . x⁷ = x⁻⁴ . x⁵ = x¹ = x⁻² . x³

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The measure of the arc ADB is 253 degrees. This means that the correct option is option C.

In the given diagram, we can clearly see that -

Using the rules of symmetry, we can conclude that,

∠AOD = ∠BOC

and similarly,

∠AOB = ∠DOC

Also since we know that -

∠AOD+∠DOC=180°

We can write - 2∠AOD+2∠DOC=360°

In the question here, it is given that the angle ∠AOD=73°

So, using the value of the angle AOD, we can calculate that -

= 2(73°) + 2∠DOC=360°

= 146° + 2∠DOC=360°

= 2∠DOC=360°-146°

= 2∠DOC=214°

= ∠DOC=107°

And

∠ADB=2∠A0D+∠DOC

=∠ADB=146°+107°

=∠ADB=253°

Hence, option C is the correct option.

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Answer: the answer is C 253°

Step-by-step explanation: see below.

(1) As a result, the Monitor costs $275 to buy online. (2) There is a 20% price disparity between the two retailers.

10,000 pairs of shoes are ordered by Shoes Unlimited from an overseas vendor. This entails the business issuing a purchase requisition, which serves as a formal promise to buy the specified kind and number of shoes.

(a) To find the price of the TV when purchased online, we can add 25% markup to the manufacturer's price of $220:

Price online = $220 + (0.25 * $220)

Price online = $220 + $55

Price online = $275

So the price of the TV when purchased online is $275.

To find the price of the TV when purchased at the superstore, we can add 45% markup to the manufacturer's price of $220:

Price at superstore = $220 + (0.45 * $220)

Price at superstore = $220 + $99

Price at superstore = $319

So the price of the TV when purchased at the superstore is $319.

(b) The difference between the prices in part (a) is:

Price at superstore - Price online = $319 - $275 = $44

The difference in markup between the two stores is:

Markup at superstore - Markup online = 45% - 25% = 20%

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Answer:

The exponential model that represents the population y of the city t years after 2014 is y = 471,000 * 1.04^t.

The estimated population in 2020 is about 591,000.

The probability of finding oil (to 1 decimal) is 0.7.

Probability is a statistic that is used to show the possibility or chance that a certain event will occur. Probabilities can be expressed as fractions from 0 to 1, in contrast to percentages from 0% to 100%. The four main types of probability that mathematicians study are axiomatic, classic, empirical, and subjective. Given that the terms potential and probability are interchangeable, you could define probability as the probability that a particular event will take place.

To determine probability the  Preliminary geologic  , we obtain,

P(oil)=0.3+0.4

P(oil)=0.7.

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Answer:

8x8 > 9x7 (64 > 63)

Step-by-step explanation:

A correlation coefficient based on the observational study cannot be used to support a claim of cause and effect. The correct answer is D: never.

Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.

To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.

Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.

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The image of the transformation is added as an attachment

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

The figure

From the figure, we can see that

The horizontal line is the axis of rotation

Using the above as a guide, we have the following:

The image of the transformation would be a reflection of the original figure on the other axis

See attachment for the image of the transformation

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Answer:

b = 50°

c = 130°

Step-by-step explanation:

B

Vertical angles are congruent (have the same measurement)

C

Adjacent angles ae supplemental (add to 180°)

Answer:

b = 50°

c = 130°

Step-by-step explanation:

Answer:

In the triangle we are given Angle A,B andC

a) To find the value of x we will say

angle A + angle B + angle C = 180(sum of angles in triangle add up to 180)

35 + 52 + 3(x+2) = 180

87 + 3x + 6 = 180

3x + 93 = 180

3x = 180 - 93

3x = 87

x = 29

b) To find the measure for angle C we need to substitute the value of x

angle c = 3(x+2)

= 3(29+2)

= 3(31)

= 93

The null hypothesis in a two-tailed test states that there is no significant difference or relationship between two variables being compared.

In hypothesis, the invalid speculation is an assertion about the populace that expects there is no massive distinction or connection between two factors. In a two-followed test, the invalid speculation expresses that there is no distinction or connection between the two gatherings being looked at. The two-followed test is utilized when we are keen on testing whether the mean of an example is essentially not the same as the mean of a populace, without determining a course. For instance, a two-followed test might be utilized to test whether another drug affects pulse, without determining whether it will increment or lessening circulatory strain. The elective speculation in a two-followed test is that there is a huge contrast or connection between the two gatherings.

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The amount of money you have in your account after years 1, 2, 3, and 4 are $102.25, $204.5, $306.75 and $409 respectively.

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan.

Given that, you have 100 dollars in your bank account, and you earn 2.25% interest per year.

We need to find the amount of money you have in your account after years 1, 2, 3, and 4 years

Find for Simple interset :-

Simple interset = PRT / 100

P = Principal amount, r = rate and  t = year

For 1 year, put t = 1

A = 100×1×2.25 / 100 + 100

= $102.25

To find the amount for 2nd, 3rd and 4th year, just multiply these numbers to the interset earned in 1st year,

For 2 year,

A = $102.25×2

A = $204.5

For 3 year,

A = $102.25×3

A = $306.75

For 4 year,

A = $102.25×4

A = $409

Hence, the amount of money you have in your account after years 1, 2, 3, and 4 are $102.25, $204.5, $306.75 and $409 respectively.

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The simple savings can be calculated using the interest formula. This is given as Interest = P (principal)× R (interest rate)×T (period).

An interest-bearing savings account without the usual minimum balance requirements is used by clients in a simple savings account. The formula used to calculate simple savings is given,

[tex]\text{Interest on savings account} = \text{daily balance} \times \text{rate of interest}\times\frac{\text{no. of days}}{365}[/tex]. And the simple interest is calculated by the following formula,

[tex]\text{Interest} = \mathrm{P (principal)\times R (interest\;rate)\times T (time\;period)}[/tex].

Imagine that you had a savings account with $20,000 and 3% interest paid annually. The interest rate is 0.03, so the formula would be as follows: Interest = $20,000 x 0.03 x 1 = $600. So the value is $600.

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The required height of the loading dock is approximately 7.746 feet (to the nearest tenth of a foot).

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
We can use the Pythagorean theorem to solve this problem. Let's call the height of the loading dock "h". The ramp, the distance from the edge of the loading dock to the end of the ramp, and the height of the loading dock form a right triangle. The Pythagorean theorem states that for any right triangle, the square of the length of the hypotenuse (the ramp in this case) is equal to the sum of the squares of the other two sides (the height and the distance from the edge of the loading dock to the end of the ramp).

In this case, we can write:

16² = h² + 14²

256 = h² + 196

60 = h²

Taking the square root of both sides, we get:

h = √60

h ≈ 7.746

Therefore, the height of the loading dock is approximately 7.746 feet (to the nearest tenth of a foot).

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So the length of the path along the longest side of the park would be 35 yds.

The three sides of a triangle, a three-sided polygon in geometry, are made up of three edges and three vertices. A triangle's most important property is that its internal angles can all be added up to 180 degrees.

The area of a right triangle is given by the formula A = (1/2) * b * h, where b and h are the lengths of the legs of the triangle. Since one of the legs of the park is 21 yds and the area is 294 yd², we can solve for the length of the other leg:

A = (1/2) * b * h

294 = (1/2) * 21 * h

h = (2 * 294) / 21

h = 28

So the length of the other leg of the triangle is 28 yds.

To find the length of the hypotenuse, we can use the Pythagorean theorem, which states that the sum of the squares of the legs of a right triangle is equal to the square of the length of the hypotenuse:

c² = a² + b²

Plugging in the values we have, we get:

c² = 21² + 28²

c² = 441 + 784

c² = 1225

c = 35

So the length of the path along the longest side of the park would be 35 yds.

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Answer:

31.08 billion

Step-by-step explanation:

If the shoe sales for a certain company were 25.9 billion, and the sales are projected to increase by 20%, we can calculate the projected amount by adding the increase to the original sales:

Projected sales = Original sales + (Increase percentage × Original sales)

Plugging in the values we have:

Projected sales = 25.9 billion + (0.20 × 25.9 billion)

Projected sales = 25.9 billion + 5.18 billion

Projected sales = 31.08 billion

Therefore, the projected amount of shoe sales for the company is 31.08 billion.

The sides that cannont be the sides of a triangle are the ones in option B.

2cm, 6cm, 4cm

If A, B, and C are the sides of a triangle, then the triangular inequality says that:

A + B > C

A + C > B

C + B > A

So, any set of 3 sides where the sum of two of the sides is smaller than the other side cannot be the sides of a  triangle.

Then the correct option will be b:

2cm, 4cm, 6cm

If we add the two shorter ones we will get:

2cm + 4cm = 6cm

And that is not larger than the other side, so it isthe correct option.

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Answer:

Below

Step-by-step explanation:

4 out of 9 are not broken    first bar not broken chance is then 4/9

  now there are   8 bars left and 3 are not broken    so for the second bar thee is a 3/8 chance of not being broken

4/9 * 3/8 = 12/72 =   1/6

Answer:

it's below because

Step-by-step explanation:

1/6 !!!!!!!!!!!!!!

Answer:

Can u pls type the question in??

Answer:

1. No

2. Yes

3. No

Step-by-step explanation:

1.

We know that c = 7, so we plug it in to prove if the equation is true.

[tex]7+8=15[/tex]

The variable is not a solution.

2.

We know a = 30, so we plug it in to prove if the equation is true.

[tex]30-4=26[/tex]

The variable is a solution.

3.

We know y = 4.1, so we plug it in to prove if the equation is true.

[tex]12.6-4.1=8.5[/tex]

The variable is not a solution.

Georges sunflower grew the most.

How to compare two decimal numbers ?

Given :

Georges sunflower grew : 2.218 inches

Brians grew : 2.21 inches

Since , two decimal number is compared using Compare the digits starting with the greatest place value and If the digits are the same, compare the digits in the next place value to the right. Keep comparing digits with the same place value until you find digits that are different.

Therefore , we can see that

2.218 inches > 2.21 inches

Hence , georges sunflower grew the most.

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The area of the path is 256 square feet.

What is the area of rectangle?

The area of a rectangle is given by the formula:

Area = length x width

where "length" and "width" are the dimensions of the rectangle. To find the area of a rectangle, simply multiply the length by the width.

To find the area of the path surrounding the rectangular garden, we need to subtract the area of the garden from the area of the larger rectangle that includes the path. The larger rectangle measures 25 feet by 43 feet.

Area of the larger rectangle = 25 ft * 43 ft = 1075 sq ft

Area of the garden = 21 ft * 39 ft = 819 sq ft

So, the area of the path surrounding the garden is:

Area of the larger rectangle - Area of the garden = 1075 sq ft - 819 sq ft = 256 sq ft

Hence, the area of the path is 256 square feet.

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A 3 5 augmented matrix whose fifth column is a pivot column. that is [0, 0, 0, 0, c] where c is not equal to 0. This implies that the system is inconsistent.

The goal of pivoting is to turn a leading one into a zero for an element that is above or below it.

A matrix's left-hand side element is referred to as the "pivot" or "pivot element" when you wish the components above and below it to be 0.

This element usually has a value of 1.

If and only if the echlon form of the augmented matrix designating the linear system of equations contains no row of the type, then the linear system is said to be consistent.

Given that, a 3 5 augmented matrix whose fifth column is a pivot column. that is [0, 0, 0, 0, c] where c is not equal to 0.

This implies that the system is inconsistent.

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