To determine the number of households in a town that recycle, 40 households from the same street are polled

To find x, we have to use the pythagorean theorem.

a^2 + b^2 = c^2.

In our problem,

a = 3

b = ?

c = 6.5

(3)^2 + b^2 = (6.5)^2

Simplify the left and right side.

9 + b^2 = 42.25.

Subtract 9 from each side

b^2 = 33.25.

Take the square root of each side

b = 5.8.

Multiply 5.8 by two becuase 5.8 is the radius and we are looking for the diameter

x = 11.6