Answer:
$75.65
Step-by-step explanation:
$79.78 is discounted 12%. 12% of 79.78 is 9.57
79.78 - 9.57 = 70.21
Tax of 7.75% = 0.0775 x 70.21 = 5.44
70.21 + 5.44 = 75.65
Round your answer to the nearest hundredth if necessary. Estimate the diameter of a circle with a circumference of 80 feet.
Answer:
1 1/12
Step-by-step explanation:
1 1/3 divided by 4/5= 1 1/12
The shaded portion area A corresponds to the area Ao of the outer circle minus the area Ai of the inner circle:
A = Ao - Ai
Also, the area of each circle of radius r is given by:
π r²
where the radius r is half the diameter d.
So, using r = d/2 in the above formula, we obtain:
π r² = π (d/2)² = (π/4) d²
Now, replacing each area with the corresponding diameter, we find:
A = Ao - Ai
= (π/4) 4² - (π/4) 1.5²
= (π/4) (4² - 1.5²)
= (π/4) (16 - 2.25)
= (π/4) (13.75)
≅ 10.799
Rounding the result to one decimal place, we find the answer:
10.8 m²
