What is 35 degree angle in standard position?

78,624,000 different license plates are possible if letters and digits cannot be repeated.

For the letters:

There are 26 letters in the English alphabet, and we need to choose three of them without repetition.

This can be calculated as a permutation of 26 letters taken 3 at a time:

P(26, 3) = 26! / (26 - 3)!

= 26! / 23!

= 26 x 25 x 24

= 15,600

For the digits:

There are 10 digits (0-9), and we need to choose four of them without repetition.

This can be calculated as a permutation of 10 digits taken 4 at a time:

P(10, 4) = 10! / (10 - 4)! = 10! / 6!

= 10 x 9 x 8 x 7

= 5,040

To find the total number of different license plates possible, we multiply the number of possibilities for the letters by the number of possibilities for the digits:

Total possibilities = P(26, 3) x P(10, 4)

= 15,600 x 5,040

= 78,624,000

Learn more about Combination here:

https://brainly.com/question/31586670

#SPJ1

1. The equation to be formed is 40 + 5x + 90 = 180

2. The value of x is 10

A straight line's total angles are always 180 degrees. Around the place where two lines join, they create four angles. The total of the angles on either side of a straight line, if those lines are straight and form one, is always 180 degrees.

We know that;

40 + 5x + 90 = 180 (Sum of angles on a straight line)

130 + 5x = 180

5x = 180 - 130

x = 50/5

x = 10

Thus the value of x is given as 10

Learn more about angles on a straight line:https://brainly.com/question/29067445

#SPJ1

The radius of the cone with the given volume which is is terms of π would be = 18m

To determine the radius of the cone, the formula that should be used in the formula for the volume of cone which would be given below;

Volume of cone =1/3πr²h

where;

radius = ?

volume = 5,400π

height = 50m

That is;

5,400π = 1/3×π×r²×50

make r² the subject of formula;

r² = 5400π×3/50π

= 108×3

= 324

r = √324

= 18

Learn more about volume here:

https://brainly.com/question/28795033

#SPJ1

Answer:

The Pythagorean Theorem describes the relationship among the three sides of a right triangle

[tex]a^{2} +b^{2} = c^{2} \\8^2+13^2=c^2=208 \\\sqrt{208}=14.4\\ 14.4 \neq 18[/tex]--> not a right triangle

The value of function h (0) is,

h (0) = 10

And, The value of function h (4) is,

h (4) = 8

Given that;

The function is,

h (x) = { 3x - 4 , x < 0

       = {2x² - 3x + 10, 0 ≤ x < 4

       = { 2x , x≥ 4

Hence, The value of function h (0) is,

h (x) = 2x² - 3x + 10, 0 ≤ x < 4

h (0) = 2 (0) - 3 (0) + 10

h (0) = 10

The value of function h (4) is,

h (x) = 2x

h (4) = 2 (4)

h (4) = 8

Thus, The value of function h (0) is,

h (0) = 10

And, The value of function h (4) is,

h (4) = 8

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

Our initial assumption that for every vertex u in T, the distance between u and v is greater than (n-1)/2 must be false. Thus, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove that there exists a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can use a proof by contradiction.

Assume that for every vertex u in T, the distance between u and v is greater than (n-1)/2.

Since T is a tree with n vertices, it has n-1 edges. We can select a longest path P in T, which has a length of at least n-1. Let's denote the endpoints of this path as u and w, where u is the starting vertex and w is the ending vertex.

Now, consider the distance between u and v. Since we assumed that the distance between any vertex u and v is greater than (n-1)/2, the distance between u and v must be greater than (n-1)/2.

However, let's consider the distance between w and v. Since the path P is the longest path in the tree, the distance between w and v must be greater than or equal to the length of path P, which is at least n-1.

Now, let's consider the total number of vertices in the tree, which is n. Since n is an odd integer, (n-1)/2 is an integer as well.

If the distance between w and v is greater than or equal to n-1, and (n-1)/2 is an integer, then there must be a contradiction. This is because the distance between w and v is greater than (n-1)/2, violating our assumption.

Therefore, our initial assumption that for every vertex u in T, the distance between u and v is greater than (n-1)/2 must be false. Thus, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

for such more question on vertex

https://brainly.com/question/18274774

#SPJ11

The value of x in the figure is 22 as the diagonals are equal

Diagonals of a parallelogram are the line segments connecting two non-adjacent vertices of a parallelogram

Both the AC and BD are equal

AC=3x-10

BD=x+34

As two diagonals are equal

3x-10=x+34

We have to solve for x

3x-x=10+34

2x=44

Divide both sides by 2

x=22

Hence, the value of x in the figure is 22

To learn more on parallelogram click:

https://brainly.com/question/28854514

#SPJ1

Answer:

{0.0853,0.1531}

Step-by-step explanation:

[tex]\displaystyle CI=\hat{p}\pm z\sqrt{\frac{\hat{p}\bigr(1-\hat{p}\bigr)}{n}}[/tex]

[tex]\displaystyle CI_{98\%}=\frac{59}{495}\pm2.326\sqrt{\frac{\frac{59}{495}\bigr(1-\frac{59}{495}\bigr)}{495}}\approx\{0.0853,0.1531\}[/tex]

Answer:

a=25

b=92

Step-by-step explanation:

Because the average of the five numbers is 51, the sum of the five numbers is 255.

a+b+73+65=255

138+a+b=255

a+b=117

a+67=b

Therefore,

a=25

b=92

Feel free to tell me if I made a mistake! :)

In accounting, the accounting equation is a fundamental principle that describes the relationship between a company's assets, liabilities, and equity. This equation is represented as Assets = Liabilities + Equity. Every financial transaction that a company undertakes has an impact on at least two of the components of the accounting equation.

Transaction Analysis:

a. The company completed consulting work for a client and immediately collected $5,600 cash earned.

This transaction increases both cash and revenue. There is no impact on liabilities or equity.

Accounts Affected:

Cash: +$5,600

Revenue: +$5,600

b. The company completed commission work for a client and sent a bill for $4,100 to be received within 30 days.

This transaction does not impact any account initially. Revenue will increase when payment is received.

Accounts Affected:

Accounts Receivable: +$4,100

Revenue: +$0

c. The company paid an assistant $1,450 cash as wages for the period.

This transaction decreases cash and increases expenses. There is no impact on liabilities or equity.

Accounts Affected:

Cash: -$1,450

Expenses: +$1,450

d. The company collected $2,050 cash as a partial payment for the amount owed by the client in transaction b.

This transaction increases cash and decreases accounts receivable. There is no impact on liabilities or equity.

Accounts Affected:

Cash: +$2,050

Accounts Receivable: -$2,050

e. The company paid $720 cash for this period's cleaning services.

This transaction decreases cash and increases expenses. There is no impact on liabilities or equity.

Accounts Affected:

Cash: -$720

Expenses: +$720

To know more about Accounting Equation here

https://brainly.com/question/14689492

#SPJ1

Complete Question

The following transactions were completed by the company

a. The company completed consulting work for a client and immediately collected $5,600 cash earned.

b. The company completed commission work for a client and sent a bill for $4,100 to be received within 30 days.

c. The company paid an assistant $1,450 cash as wages for the period.

d. The company collected $2,050 cash as a partial payment for the amount owed by the client in transaction b

e. The company paid $720 cash for this period's cleaning services  Required: Enter the impact of each transaction on individual items of the accounting equation. (Enter decreases to account balances with a minus sign.)

As all sides of a Rhombus are of equal length, the length of the missing sides are 82

The property of a Rhombus required for answering this question is associated with the length of it's sides. A Rhombus has four sides with the length of all these sides being equal.

This means that with the length of one of it's sides being 82 , the length of the remaining 3 sides would be 82 as well.

The length of sides x = y = z = 82. Hence, x, y and z are 82

Learn more on Rhombus ; https://brainly.com/question/26556377

#SPJ1

The height of the trapezoid is approximately 13.043 mm.

To find the height of a trapezoid, you can use the formula:

Area = 1/2 * (base1 + base2) * height

Given:

Area = 150 square millimeters

base1 = 7 mm , w

base2 = 16 mm

150 = 1/2 * (7 + 16) * height

150 =1/2 * 23 * height

Make height the subject of the formula

300 = 23 * height

height = 300 / 23

height = 13.043 mm (rounded to three decimal places)

Therefore, the height of the trapezoid is approximately 13.043 mm.

Learn more about trapezoid here:

https://brainly.com/question/1410008

#SPJ1

The pairs of alternate exterior angles in the given figure is Option D) ∠1 and ∠7; ∠2 and ∠8

Alternate exterior angles are a pair of angles formed by a transversal line intersecting two parallel lines and located on opposite sides of the transversal and on the exterior of the parallel lines. In other words, if two parallel lines are intersected by a third line (the transversal), then the pairs of angles on opposite sides of the transversal and outside the parallel lines are alternate exterior angles. These angles are congruent to each other.

In the given figure two parallel lines, which are crossed by a transversal line which forms angles.

Now according to the given figure

so, answer is Option D) ∠1 and ∠7; ∠2 and ∠8

To know more about Angles here

https://brainly.com/question/28451077

#SPJ1

Step-by-step explanation:

3775  +  2890-1395 = total diving meters = 5270 m

Total movement = 3775  + ( 3775 - 1395 )   +  (2890 - 1395 ) = 7650 m

Step-by-step explanation:

1) the 1-st prism is cube. Then its surface area can be calculated as:

A=5*5*6=150 [ft²];

2) A=[Perimeter of triange]*height+2*[Area_of_triangle];

according to the formula above height=3; Perimeter of triangle=9+12+15=36; Area of triangle=12*9*0.5=54;

Finally, A=36*3+2*54=108+108=216 [cm²].

The period of the function is given as follows:

C) 4.

A periodic function is a function that has the behavior repeating in intervals over the domain.

Then the period of the function is defined as the difference between two points in which the function has the same behavior.

The function in this problem has the behavior repeating at these following points:

x = 0, x = 4, x = 8, ...

Hence the period is given as follows:

4 - 0 = 8 - 4 = 4.

More can be learned about functions at brainly.com/question/24808124

#SPJ1

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week [tex]\sf = 19 \times 40 = \$760[/tex]

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, [tex]\sf \dfrac{8x}{100}=760[/tex]

Or, [tex]\sf 8x= 76000[/tex]

Or, [tex]\sf x= \dfrac{76000}{8}=9500[/tex]

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

It is true that in algebra minus symbol represent two things

Step-by-step explanation:

And it is true that it depend on where it placed such as

8-2 this minus indicate the substraction of two terms

-3 this show that the number has negative quantity

his pay per workday will be $127.45.

Thus, the formula for calculating simple interest is J = C i t, where J is interest, C is principal, i is interest rate, and t is time. That is, J represents the amount added to the initial value, the capital is the calculation basis, the interest rate is the percentage applied on the capital and time is the capitalization period.

Knowing that:

The total weekends in a year:

52 * 2 = 104 weekend days.

Total paid vacation days, including holidays that fall on weekends:

10 - 4 = 6 paid vacation days.

Total non-working days:

104 + 6 = 110 non-working days.

Total working days in a year:

365 - 110 = 255 working days.

Pay per workday = Annual salary / Total working days

= $32,500 / 255= $127.45

Therefore, the librarian's pay per workday is approximately $127.45.

See more about finances at brainly.com/question/10024737

#SPJ1

The complete statement should be If 3m = 7n, then m/n = 7/3. The proportion was obtained by solving for m, and then using the converse of the cross products property. Option B

The converse of the cross products property states that if two ratios are equal, then the product of the means is equal to the product of the extremes.

To justify the answer, you solve for m/n in the original equation by dividing each side by 3n, which gives you m/n = 7/3.

Find more exercises on cross products property;

https://brainly.com/question/30829649

#SPJ1

The measure in radians for the central angle is approximately 0.7 radians.

To find the measure in radians for the central angle of a circle, we can use the formula:

θ = s / r

where θ is the central angle in radians, s is the intercepted arc length, and r is the radius of the circle.

In this case, the radius is given as 8 cm and the intercepted arc length is 5.6 cm.

Plugging these values into the formula, we have:

θ = 5.6 cm / 8 cm

Simplifying the expression:

θ = 0.7

We may use the following formula to get the centre angle of a circle's measurement in radians:

= s / r

s is the length of the intercepted arc, r is the circle's radius and is the centre angle in radians.

The intercepted arc length in this instance is 5.6 cm, while the radius is specified as 8 cm.

When these values are plugged into the formula, we get:

θ = 5.6 cm / 8 cm

Condensing the phrase:

θ = 0.7

For similar questions on radians

https://brainly.com/question/29058626

#SPJ11

The expression that is equivalent to the trigonometry ratio (sin²θ + cos²θ)/tan²θ is (a) cot²θ

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

The trigonometry ratio given as

(sin²θ + cos²θ)/tan²θ

In trigonometry,

sin²θ + cos²θ = 1

So, we have the following representation

(sin²θ + cos²θ)/tan²θ = 1/tan²θ

Evaluate the quotient

(sin²θ + cos²θ)/tan²θ = cot²θ

Hence, the expression that is equivalent to the trigonometry ratio is (a) cot²θ

Read more about trigonometry ratio at

brainly.com/question/24349828

#SPJ1

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

[tex]y=-4x^2-x+3[/tex]

[tex]y=-4(0)^2-(0)+3[/tex]

Order of operations requires exponents before multiplication, or addition & subtraction...

[tex]y=-4(0)-(0)+3[/tex]

multiplication...

[tex]y=0-0+3[/tex]

addition & subtraction, from left to right...

[tex]y=3[/tex]

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": [tex]y=ax^2+bx+c[/tex], where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, [tex]y=-4x^2+-1x+3[/tex], where [tex]a=-4, ~b=-1 ~ \text{and}~c=3[/tex]

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

Answer: True

Step-by-step explanation:

The formula for the surface area of a cylinder SA= 2mth + 2rr² is 525 cm².

To find the surface area of the cylindrical can, we need to use the formula:

SA = 2π[tex]r^2[/tex]+ 2πrh

where r is the radius of the circular base of the can, h is the height of the can, and π is a mathematical constant approximately equal to 3.14.

From the given dimensions, we know that the radius of the can is 4 cm. However, we do not have the height of the can. Therefore, we cannot accurately calculate the surface area of the can.

Based on the answer choices provided, we can approximate the surface area of the can by using the given value of r = 4 cm and an estimated value for the height.

For example, if we assume the height of the can is approximately 10 cm, then we can use the formula to calculate the surface area:

SA = 2π([tex]4^2[/tex]) + 2π(4)(10)

SA = 100.48 + 251.2

SA ≈ 351.68 [tex]cm^2[/tex]

     ≈525 cm²

This value is closest to the fourth answer choice of 350 [tex]cm^2[/tex]. However, it is important to note that this answer is an approximation based on estimated values, and may not be entirely accurate.The  correct answer is 525 cm².

Know more about   surface area   here:

https://brainly.com/question/16519513

#SPJ11

The sum of the measures of the exterior angles of a convex 21-gon is 360°.

Given,

Convex 21- gon

Polygon is a plane figure with a finite number of straight line segments.

Convex polygons are those in which none of their interior angles are greater than 180°.

Now,

The sum of exterior angles of any regular polygon is 360°.

Hence,

The sum of the measures of the exterior angles of a convex 21-gon is 360°.

Learn more about exterior angles,

https://brainly.com/question/2546141

#SPJ1

The surface area of the rectangular prism is (26/3) times larger than the surface area of the cube.

Given data ,

Let the surface area of the cube be S₁

Let the surface area of the rectangular prism be S₂

Let the volume of the cube be V₁

Let the volume of the prism be V₂

On simplifying , we get

The side length of cube = x

So , surface area of cube = 6x²

The volume of cube = x³

And , the surface area of prism = 2 ( 12x² + 8x² + 6x² )

S₂ = 52x²

And , volume of prism = l x w x h

V₂ = ( 2x ) ( 3x ) ( 4x ) = 24x²

So , S₂ = ( 26/3 ) S₁

52x² = ( 26/3 ) ( 6x² )

52x² = 52x²

Hence , The rectangular prism's surface area is (26/3) times greater than the cube's surface area.

To learn more about surface area of cube click :

https://brainly.com/question/12079637

#SPJ1

The complete question is attached below :

The dimensions of a cube and a rectangular prism are shown below.

Which statement is true?

A The surface area of the rectangular prism is 24 times larger than the surface area of the cube.

The surface area of the rectangular prism is times larger than the surface area of the cube.

C The volume of the rectangular prism is 48 times larger than the volume of the cube.

D The volume of the rectangular prism is 3 times larger than the volume of the cube.