F is inversely proportional to d^2. When F = 14, d = 5 Work out d
(positive value rounded to 2 DP) when F = 3

d ≈ 10.80

Step-by-step explanation:

Given F is inversely proportional to d² then the equation relating them is

F = ← k is the constant of variation

To find k use the condition F = 14, d = 5 , then

14 = = ( multiply both sides by 25 )

350 = k

F = ← equation of variation

when F = 3 , then

3 = ( multiply both sides by d² )

3d² = 350 ( divide both sides by 3 )

d² = ( take square root of both sides )

d = ≈ 10.80 ( positive value to 2 dec. places )

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi