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nordsb [41]
4 years ago
13

EXPLAIN WITH STEPS

Mathematics
1 answer:
Mekhanik [1.2K]4 years ago
4 0

Step-by-step explanation:

Area of a circle is:

A = πr²

Take derivative with respect to time:

dA/dt = 2πr dr/dt

Plug in values and solve:

-5 = 2π (2) dr/dt

dr/dt = -5/(4π)

dr/dt ≈ -0.398

The radius is shrinking at approximately 0.398 in/min.

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Solve for x:
10 (x + 2) = 5 (x + 8)

Expand out terms of the left hand side:
10 x + 20 = 5 (x + 8)

Expand out terms of the right hand side:
10 x + 20 = 5 x + 40

Subtract 5 x from both sides:
(10 x - 5 x) + 20 = (5 x - 5 x) + 40

10 x - 5 x = 5 x:
5 x + 20 = (5 x - 5 x) + 40

5 x - 5 x = 0:
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Subtract 20 from both sides:
5 x + (20 - 20) = 40 - 20

20 - 20 = 0:
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Divide both sides of 5 x = 20 by 5:
(5 x)/5 = 20/5

5/5 = 1:
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The gcd of 20 and 5 is 5, so 20/5 = (5×4)/(5×1) = 5/5×4 = 4:

Answer:  x = 4
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