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satela [25.4K]
3 years ago
7

BRAINLIEST & 10 + POINTS!!! If a windshield wiper covers an area of approximately 200 square inches when it rotates at an an

gle of 84°, find the length of the wiper to the nearest tenth of an inch. The length of the wiper is approximately ____________ inches.
Mathematics
2 answers:
Luba_88 [7]3 years ago
8 0
Answer : 16.517780

So round up 16.6


Wow

Formula A= 0/360 • # • r^2


200= 84/360 • # • R^2

Solve for R

R^2 = 200 • 360 / 84 #

R^2 600/ 7#

# mean pi

R= | 600/7r

Simply

R = | 600/ 7#

Simply with | 600 to 20| 15

R= 20| 15 / |7#

Multiple by distributive

R= 20| 15 / /7 / #

= 16.517780




german3 years ago
6 0

Answer:

≈ 16.5 in

Step-by-step explanation:

r- is the length of the wiper

Area of circle= πr²

Area of 84° sector = πr²*84/360= 200 in²

3.14r²*84/360= 200

r²= 200*360/84*3.14

r²= 273

r= √273

r≈ 16.5 in

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