Find the radius of a circle in which an inscribed square has a side of 4 inches.

The diagonal of the square is the radius of the circle. To find the diagonal, you can draw a line between 2 opposite points of the square to split the square into 2 equal triangles. As they are right triangles and have 2 equal sides, they are 1-1-√2 triangles, or 45-45-90 (degrees). The length of the 2 equal sides of the triangle is 4 inches, to multiplying that by √2 will give 4√2 inches, which is the radius of the circle.

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40