fzfuwi2daf
fzfuwi2daf fzfuwi2daf
  • 22-02-2021
  • Mathematics
contestada


F
is inversely proportional to
d
2
.
When
F
=
18
,
d
=
2

Work out
F
when
d
=
6

Respuesta :

miraclearokoyo2018
miraclearokoyo2018 miraclearokoyo2018
  • 23-02-2021

Answer:

12

Step-by-step explanation:

[tex]F \alpha \frac{1}{d^{2} }[/tex]

[tex]F = \frac{K}{d^{2} }[/tex]

When F = 18; d = 2

[tex]18 = \frac{K}{2^{2} }[/tex]

[tex]18 = \frac{K}{4}[/tex]

Cross multiply;

18 x 4 = K

72 = K

There the equation connecting F and [tex]d^{2}[/tex] is

[tex]F = \frac{72}{d}[/tex]

Now, Find F when d = 6

All you do is to substitute d = 6 in to [tex]F = \frac{72}{d}[/tex]

[tex]F = \frac{72}{6}[/tex]

Therefore;

F = 12

Please mark me brainiest if correct.

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