Explain the steps you would take to find the area of the following composite shape. (Use 3.14 for π.)

see the explanation

Step-by-step explanation:

we know that

The area of the composite figure is equal to the area of a semicircle plus the area of a rectangle

step 1

Find the area of semicircle

The area of semicircle is

step 2

Find the area of rectangle

The area of rectangle is equal to

where

b is the base of rectangle (is the same that the diameter of semicircle)

h is the height of rectangle

step 3

Find the area of the composite figure

Adds the areas

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.