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Wittaler [7]
3 years ago
13

A varies inversely with the square of r and when r = 4, A = 75. Find r when A = 48r=​

Mathematics
1 answer:
egoroff_w [7]3 years ago
7 0

Answer:

r = 3.2

Step-by-step explanation:

If A varies inversely with the square of r, then A = kr^2

75 = k*4^2 = 16k

k = 75/16

Now A = (75/16)*r^2

48 = (75/16)*r^2

r^2 = 48(16/75) = 256/25

r = \sqrt{\frac{256}{25} } = 16/5 = 3.2

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