30 POINTS!
Find the area of the shaded regions.

7pi or ≈21.98 cm²

Step-by-step explanation:

The area of the shaded and non shaded in the circle is pir^2 so pi3^2 so 9pi

the area of the 2 smaller circles is pi1^2*2 so 2pi

9pi-2pi=

7pi cm² =

7pi≈21.98 cm² (with pi as 3.14)

Step-by-step explanation:

Area of the large circle =πR²

=3.14×(3)²=3.14×9=28.26cm²

Area of one small circle= πr²= 3.14×1= 3.14cm²

Area of two small circles = 2×3.14 cm²= 6.28cm²

Area of the shaded region= (28.26-6.28)cm²

= 21.98 cm²

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation:

mean or average is 40.6