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Messidapro2687
13.09.2020 •
Mathematics
Plzz help fast :):):)
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Ответ:
56.0% not wiped
Step-by-step explanation:
150° = 5π/6 rad
Area wiper covers
Aw = ½(5π/6)24² - ½(5π/6)2² = 238⅓π in² ≈ 748.75 in²
Area of window
(66 - 54)/2 = 6in
h = √(29² - 6²) = 28.37 in
A = 28.37(54 + 6) = 1,702.35
percentage not cleared by wiper is
(1,702.35 - 748.75) / 1,702.35 = 0.56016 ≈ 56.0%
Arc length ACB = rθ = 24(5π/6) = 20π ≈ 62.8 inches
inner arc length = 2(5π/6) = 5π/3 ≈ 5.23 inches