Answer:
the sales tax rate is 8.59%
Step-by-step explanation:
The computation of the sales tax rate is as follows:
= Tax value ÷ Total taxes
= $10.80 ÷ ($150.52 - $24.72)
= $10.80 ÷ $125.80
= 8.59%
Hence, the sales tax rate is 8.59%
We simply applied the above formula to determine the sales tax rate
Answer:
508.94
Step-by-step explanation:
If 2 points lie in a plane, the line containing those opints lies in the same plane
Answer:
(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm
Step-by-step explanation:
(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²
The area of the square of x sides removed from its center is x².
The area A of the each face of the coin is thus A = 9π - x²
Since the area of each face of the coin A = 7π cm²,
then
7π = 9π - x²
9π - 7π - x² = 0
2π - x² = 0
(2) Solve the equation 2π - x² = 0
2π - x² = 0
x² = 2π
x = ±√(2π)
x = ± 2.51 cm
Since x cannot be negative, we take the positive answer.
So, x = 2.51 cm
≅ 2.5 cm
(3) Find the perimeter of the square
The perimeter of the square, p is given by p = 4x
p = 4 × 2.51 cm
= 10.04 cm
≅ 10 cm
Answer:
3
Step-by-step explanation:
