Answer:
The shaded are is 
Step-by-step explanation:
we know that
The shaded area is equal to the area of the semicircle minus the area of the circle inside the semicircle
step 1
Find the area of semicircle
The area of semicircle is equal to

where
----> the radius is half the diameter
substitute

step 2
Find the area of the circle inside the semicircle
The area of circle is equal to

where
---> the radius of circle inside is half the radius of semicircle
substitute

step 3
Find the shaded area

assume


3 significant figures is

All together it equals (of the number of hours he does in a week)
45 because 6 plus 9 is 15 and 15 multipled by 3 is 45 makes sense becuase .. 6 +3 is 9 and 9 +9 is 18 2 weeks equals 14 days 18 subtracted by 14 equals 2 which 45 subtracted by 2 is 43 and that's the esact number of hours he works 43 in a week.
Explain The question with more detail
Step-by-step explanation:
roots as exponents are fractions
if there is no root number next to the radical sign its assumed that its 1/2
3√2 is 2^(1/3)
√3 is 3^(1/2)
4√3 is 3^(1/4)
5√2 is 2^(1/5)
38 = 48 -10;
36 = 48 - 12;
34 = 48 - 14;
32 = 48 - 16;
A. b = 48 - a