Find the area of the shaded region in the figure below, if the diameter of the circle is 8 and the height of the rectangle is 10. Use 3.14 for pi and round to the nearest hundredth.

73.72 units²

Step-by-step explanation:

Area of the shaded region = Area if the rectangle - area of the semicircle

Area of the rectangle = length*width

Length = 10 units

Width = 8 units

Area of rectangle = 10*8 = 80 units²

Area of semicircle = ½(πr²)

radius (r) = 8/2 = 4 units

π = 3.14

Area of semicircle = ½(3.14*4) = 3.14*2 = 6.28 units²

Area of the shaded region = 80 - 6.28 = 73.72 units²

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify