If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (revolutions per minute)? [There are 63,360 inches in 1 mile) Round your final answer to 2 decimal places .

Answer:

to prove:

mo=qo (given in the question)

angle m = angle q (given in the question)

angle MOP= angle QON (both the triangles meet at angle O so the angles are equal)

hence they are congruent.

Step-by-step explanation:

hope so its right

mark brainliest

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Answer:

24?

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

boys : girls

8 : 5

x : 75

to find x, take 75 and divide it by 5:

75 ÷ 5 = 15

(you do this to determine how you can go from 5 to 75)

take the qoutient and multiply it by 8:

15 × 8 = 180

Answer:

Post office is true because 3/4 miles is 1320 yards and 3/8 is only 660 yards. So basically it will take A LONG TIME for him to get there at the library. But you know I am not always accurate /:

30° = 0.52

150° = 2.68

-220° = -3.34

Answer:

the unit price for this question is 1.19

Answer:

$1.19

Step-by-step explanation:

5.95/5=1.19

Answer:

$2.25

Step-by-step explanation:

You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.

Answer:

C

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

c² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

c = [tex]\sqrt{41}[/tex]  ← exact solution → C

Answer:

Area covered by beam = 530 mi² (Approx.)

Step-by-step explanation:

Given:

Radius = 15 mi

Arc angle = 270°

Find:

Area covered by beam

Computation:

Area of sector = [θ/360][π][r²]

Area covered by beam = [270/360][22/7][15²]

Area covered by beam = [0.75][3.1428][225]

Area covered by beam = 530 mi² (Approx.)

Answer: 5

Step-by-step explanation: If you take minus 2 and take it to 0 then add 3 you get 5

The points A and B are 2 units away from the y-axis.

"The distance of a point from the Y-axis is its x-coordinate."

For given question,

Points A and B have opposite x-coordinates but the same y-coordinates.

Point A is 2 units to the left and 3 units up.

So the point A has coordinates (-2, 3)

Point B is 2 units to the right and 3 units up.

So the point B has coordinates (2, 3)

We know that the distance of a point from the y - axis is its x-coordinate.

So, the distance of point A from the y-axis is |-2| = 2 units

And the distance of point B from the y-axis is 2 units

Therefore, points A and B are 2 units away from the y-axis.

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Answer:

2.8 I think

Step-by-step explanation:

plz tell me if its wrong

Answer:

D

Step-by-step explanation:

Answer:

The area of the regular nonagon is 7921.8 square inches.

Step-by-step explanation:

Geometrically speaking, the area of a regular polygon is determined by following area formula:

[tex]A = \frac{p\cdot a}{2}[/tex] (1)

Where:

[tex]A[/tex] - Area of the regular polygon, in square inches.

[tex]p[/tex] - Perimeter, in inches.

[tex]a[/tex] - Apothem, in inches.

If we know that [tex]p = 162\,in[/tex] and [tex]a = 97.8\,in[/tex], then the area of the regular nonagon is:

[tex]A = 7921.8\,in^{2}[/tex]

The area of the regular nonagon is 7921.8 square inches.

Answer:

you are the 35th caller.

Step-by-step explanation:

Multiples of 5: 5,10,15,20,25,30,35,40,45,50

Multiples of 7: 7,14,21,28,35,42,49,56,63,70

Since the question specified "first caller" , the answer is basically from the lowest common Multiple (the lowest number that appear in both multiples) , and in this case, only 35 is the lowest common multiple.

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

12.5

Step-by-step explanation:

The value of LL' is 5 units.

Option A is the correct answer.

It is the movement of the shape in the left, right, up, and down direction.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

ML' = 2.5

Triangle JKL dilated to Triangle J'K'L' with a scale factor of 1/3.

This means,

LL' = (2.5 x 3) - 2.5

LL' = 7.5 - 2.5

LL' = 5

Thus,

LL' is 5 units.

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Answer:

The slope is -10, and the y-intercept is 1.

Step-by-step explanation:

Assuming that the equation is y = -10x+1, the easiest way to identify slope and the y-intercept is by knowing the equation for slope-intercept (y = mx+b)

Equation for slope-intercept (y = mx+b) explained:

The equation is y = mx+b, let's break it down.

y = The line

m = The slope

b = The y-intercept

Now that we know the equation and broke it down you can identify them in your equation

Slope (m)= -10

y-intercept = 1

Conclusion: The slope is -10, and the y-intercept is 1.

Answer:

6.19

7a.C

7b.Angle AED

7c.Angle 8

7d. Angle 6 and 8

Step-by-step explanation:

6a. The labeled angles are vertical angles so we set them equal to each other.

[tex]7x - 8 = 6x + 11[/tex]

[tex]7x = 6x + 19[/tex]

[tex]x = 19[/tex]

7a.Angle 11 is near Point C so Point C is the vertex.

7b. Angle 5 vertex is E so we can use any 3 points as an angle as long as E is in the middle example, and the angles are on the left side so we can use

[tex]aed[/tex]

Write the angle sign as well.

7c. Angle 6 is vertical from Angle 8.

7d. Angle 7 and 6 form a linear pair and since Angle 6=Angle 8, Angle 7 and 8 form a linear pair as well.

9 × 13ˣ = 9 × exp(ln(13ˣ ))

… = 9 × exp(x ln(13))

… = A₀ × exp(kx)

so that

A₀ = 9

k = ln(13)

Answer:

first table

Step-by-step explanation:

other three tables have an 'x' value that maps to more than one 'y' value

Answer:

understandable

Step-by-step explanation:

Answer:

47.5 ft^2

Step-by-step explanation:

5x9.5 = 47.5 ft^2

Answer:

3x² – 2x – 8

=> 3x² – 6x + 4x – 8

=> 3x( x – 2 ) + 4( x – 2 )

=> ( 3x + 4 ) ( x – 2 )

Therefore,

Either, 3x + 4 = 0

3x = - 4

x = - 4/3 (Ans)

And,

x – 2 = 0

x = 2 (Ans)

Answer:

(x - 2)(3x + 4)

Step-by-step explanation:

Given

3x² - 2x - 8

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 8 = - 24 and sum = - 2

The factors are - 6 and + 4

Use these factors to split the x- term

3x² - 6x + 4x - 8 ( factor the first/second and third/fourth terms )

= 3x(x - 2) + 4(x - 2) ← factor out (x - 2) from each term

= (x - 2)(3x + 4)

Answer:

FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2  

r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared  

r = 12 "  

area = 4 X pi X 12 X 12 = 576 pi" squared  

ANSWER Area will be 4 times the original

Step-by-step explanation:

Answer:

The answer is D. 8.7

Step-by-step explanation:

A=4πr2

Solving fore

r=1

2A

π=1

2·951.1

π≈8.69978in

Answer:

[tex]\frac{121}{16}[/tex]

Step-by-step explanation:

[tex](-2\frac{3}{4})^2\\= (-\frac{4\times2+3}{4})^2\\=(-\frac{11}{4})^2\\=\frac{121}{16}[/tex]

Answer:

It's D. The initial value of y is 3 because 6,9 and 12 are 3 digits apart, and it always is Y over X