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Oksi-84 [34.3K]
3 years ago
13

Find the length of the darkened arc. Leave your answer in terms of pi.​

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

\frac{15 }{4}  \pi \:

Step-by-step explanation:

Radius of circle (r) = 18/2 = 9 ft

Central angle = 180° - 30° = 150°

length \: of \: arc  \\ =  \frac{150 \degree}{360 \degree}  \times 2\pi \: r \\  \\  = \frac{150 \degree}{360 \degree}  \times 2 \times \pi \: \times  9\\  \\  = \frac{5 }{12 }  \times 18 \times \pi \: \\  \\  = \frac{5 }{4}  \times 3\times \pi \:\\  \\  = \frac{15 }{4}  \pi \:

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3 years ago
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Anton [14]

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Step-by-step explanation: Ok, let's break it down...

180 ÷ 2 = 90 / The train travels 90 mph....

90 * 7 = 630 / The jet travels 630 mph....

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We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.

We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.

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We can see that initial value is $160. Upon substituting our given values in above formula, we will get:

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3 years ago
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Answer:

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