Respuesta :
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
Answer:
11.62
Step-by-step explanation:
F is inversely proportional to d^2, so
[tex]F=\frac{k}{d^2}[/tex]
for some constant k. To find k plug in given values for F and d.
[tex]5=\frac{k}{9^2}\\5=\frac{k}{81}\\k=405[/tex]
Now you can find d for F = 3.
[tex]3=\frac{405}{d^2}\\\\3d^2=405\\\\d^2=135\\d=\sqrt{135}\approx 11.62[/tex]