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3 years ago

A hockey puck has a diameter of 3 inches and rolls on its edge for 24 rotations. How far did it roll before falling flat?

Mathematics

1 answer:

scoundrel [369]3 years ago

4 0

Find the circumference of the puck using circumference = pi x diameter

Circumference = 3.14 x 3 = 9.42 inches.

For every rotation the puck would travel 9.42 inches.

Now multiply y by 24 rotations:

9.42 x 24 = 226.08 inches.

Answer: 226.08 inches

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Angles a and b are complementary angles symmetry of angle a is 28° more than the measure of angle b find the missing angle measu

scoray [572]

Answer:

31 , 59

Step-by-step explanation:

a = b +28

a + b = 90 {Complementary}

b + 28 + b = 90 {Combine like terms}

2b + 28 = 90 {Subtract 28 form both sides}

2b = 90 - 28

2b = 62 {Divide both sides by 2}

b = 62/2

b = 31

a = 31 + 28

a = 59

7 0

3 years ago

A rocket travels in a trajectory given by the equation s = -4.9t 2 + v0t, where s is meters above ground, t is time in seconds a

Reptile [31]

Step-by-step explanation:

s = -4.9t² + 49t

The vertex of the parabola is at t = -b/(2a).

t = -49 / (2 × -4.9)

t = 5

The rocket reaches its maximum height after 5 seconds.

5 0

3 years ago

Estimate. Divide using the standard algor ithm and check.

KatRina [158]

image?????? im not sure

8 0

3 years ago

How do I find the y intercept in a fraction

Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

$\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}$

The formula to calculate the slope is the following:

$m=\frac{y_2-y_1}{x_2-x_1}$

The points are (-6, -9/2) and (4,3), replacing:

$m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}$

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

$\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}$

The equation is:

$y=\frac{3}{4}x$

Therefore, the true statements are:

• Both functions have the same slope

• The linear equation does not have a y-intercept

• The table and the grahp express an equivalent function

8 0

11 months ago

Gymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars)

Natalija [7]

Revenue, R = 130x

Profit, P = Revenue – Cost

P = R – C

P = 130x – 2950 + 6x + 0.1x^2

At P = 0

0 = -2950 + 136x +0.1x^2

X = 21.355, -1381.355

Therefore, manufacture greater than 21.355 items to make profit.

3 0

3 years ago

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