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VikaD [51]
4 years ago
11

A car is traveling at a constant velocity. After two hours the car has traveled 110 miles. After four hours the car has traveled

220 miles. Assuming a linear equation fits this situation, find the distance that the car will travel after five hours.
Mathematics
1 answer:
Likurg_2 [28]4 years ago
3 0
The answer here is 275 miles, because it is going at 55 miles per hour. you can find this out by dividing the miles by the hours. Hope this helps.
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4 years ago
Work out the volume of the shape​
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Answer:

\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

V_c=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3

The formula of a volume of a sphere:

V_s=\dfrac{4}{3}\pi R^3

R - radius

Therefore the formula of a volume of a half-sphere:

V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3

We have R = 7cm. Substitute:

V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3

The volume of the given shape:

V=V_c+V_{hs}

Substitute:

V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3

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3 years ago
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10 kids total

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