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rosijanka [135]
3 years ago
13

F is inversely proportional to d^2.

Mathematics
2 answers:
Doss [256]3 years ago
6 0

Answer:

11.6

Step-by-step explanation:

F = k/ d^2

where k = proportionality constant

k = Fd^2

k = 5 * 9^2

k = 5*81 = 405

d = (K/F)^1/2

d = (405/3)^1/2

d = 11.62 =11.6

lozanna [386]3 years ago
4 0

Answer:

11.62

Step-by-step explanation:

F is inversely proportional to d^2, so

F=\frac{k}{d^2}

for some constant k.  To find  k  plug in given values for  F  and  d.

5=\frac{k}{9^2}\\5=\frac{k}{81}\\k=405

Now you can find d for F = 3.

3=\frac{405}{d^2}\\\\3d^2=405\\\\d^2=135\\d=\sqrt{135}\approx 11.62

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