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2 years ago

Find the arc length of the partial circle.

Mathematics

1 answer:

ElenaW [278]2 years ago

8 0

Answer:

38.485(correct to 5 significant figure)/ 12.25π

Step-by-step explanation:

$\pi(7 {}^{2} )( \frac{90degree}{360deree} )$

$= \pi(49)( \frac{1}{4} )$

=38.485(cor. to 5 sig.fig.)/ 12.25π

to find arc length of sector,we need to π(radius²)(sector's degree divided by 360 degree)

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3 years ago

Read 2 more answers

Help? with complete solution please help me please

serious [3.7K]

9514 1404 393

Answer:

13 ft
(a) 1 second; (b) t = 0, t = 1/2

Step-by-step explanation:

Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...

5² +(w -1)² = w²

w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms

26 = 2w . . . . . . . . . . . . add 2w

13 = w . . . . . . . . . . . . divide by 2

The length of the wire is 13 feet.

(a) When h = 0, the equation is ...

0 = -16t^2 +8t +8

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2t^2 -t -1 = 0

Factoring, we get ...

(2t +1)(t -1) = 0

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It will take 1 second for the gymnast to reach the ground.

(b) When h = 8, the equation is ...

8 = -16t^2 +8t +8

Subtract 8 and divide by 8 to get ...

0 = -2t^2 +t

0 = t(1 -2t) . . . . factor out t

Values of t that make the factors zero are ...

t = 0

t = 1/2

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2 years ago