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:
The square root of 45
Step-by-step explanation:
9^2-6^2=c^2
81-36=c^2
45=c^2
c=sqrt(45)
Y= 32 if x= 8, 2 times 16 is 32
Answer:
D.It is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.
Step-by-step explanation:
You are so very welcome!
Answer:
This year the business earned about 50 times as much as it did last year
Step-by-step explanation:
I got this answer because you have to have the same exponents so for the last year's income the exponent is 6 so you have to raise that up to 8 so you have to move the decimal of 4.1, two places to the left which will get you 0.041 and so you divide 2.05 by 0.041 and you get 50 so 2.05 is 50 times bigger than 0.041. I hope this helped.
