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3 years ago

A bicycle tire has a radius of 11 inches. To the nearest inch, how far does the tire travel when it makes 7 revolutions?

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

8 0

Answer:

d = 483.56 inches

Step-by-step explanation:

We have,

Radius of a bicycle tire is 11 inches. It is required to find the distance traveled by the distance covered by the tire when it makes 7 revolutions. One revolution means the circumference of circle. So,

$C=2\pi r\\\\C=2\times 3.14\times 11\\\\C=69.08\ \text{inches}$

In 7 revolution, it will cover a distance of 7C i.e.

$C=69.08\times 7\\\\C=483.56\ \text{inches}$

So, the tire will cover a distance of 483.56 inches in 7 revolutions

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2 years ago

Coulter Supply has a total debt ratio of .46. What is the equity multiplier? Select one: a. .89 b. 1.17 c. 1.47 d. 1.85 e. 2.17

Archy [21]

Answer:

Option D.

Step-by-step explanation:

The formula for total debt ratio is

$\text{Total debt ratio}=\dfrac{\text{Total assets - Total Equity}}{\text{Total assets}}$

It can be rewritten as

$\text{Total debt ratio}=1-\dfrac{\text{Total Equity}}{\text{Total assets}}$ .... (1)

We know that,

$\text{ Equity multiplier}=\dfrac{\text{Total Equity}}{\text{Total assets}}$ ... (2)

Using (1) and (2) we get

$\text{Total debt ratio}=1-\dfrac{1}{\text{Equity multiplier}}$

Substitute total debt ratio=0.46 in the above equation.

$0.46=1-\dfrac{1}{\text{Equity multiplier}}$

$0.46-1=-\dfrac{1}{\text{Equity multiplier}}$

$-0.54=-\dfrac{1}{\text{Equity multiplier}}$

$\text{Equity multiplier}=-\dfrac{1}{-0.54}$

$\text{Equity multiplier}=1.85185185$

$\text{Equity multiplier}\approx 1.85$

Therefore, the correct option is D.

7 0

3 years ago

A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar

Sonbull [250]

Before we begin please note that a jar is always cylindrical in shape if not mentioned otherwise. Thus, we will take a cylindrical jar in this case.

Since Kelly eats some of the salsa and the salsa in the jar is now 6 cm high, we know that Kelly ate the amount of Salsa whose volume is missing from the jar.

To find the missing volume on the Salsa jar all that we need to do is to find the height of the missing volume which is given to us as h= 6 cm. We already know that the radius of the jar, r=6 cm. Thus, the amount of Salsa Kelly has eaten is:

$V=\pi(6)^2\times 6\approx678.6\approx679$ $cm^3$