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s2008m [1.1K]
3 years ago
11

Solve for a! 264=π×a×(20-a) Thank you!

Mathematics
1 answer:
jasenka [17]3 years ago
4 0

Answer:

a ≈ 14 or 6

Step-by-step explanation:

264 = π × a × (20 - a)

a(20 - a) = \frac{264}{Pi} ≈ 84 (rounded off to nearest whole number)

Opening the brackets we get;

a² - 20a + 84 = 0

Applying the quadratic formula we get:

a ≈ 14 or 6

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see the attached figure with letters to better understand the problem

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