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:
minus 7a plus 11
Step-by-step explanation:
nfiedneifnejd
Answer: x=20°
Explanation: Since UTX is a diameter, it is equal to 180°. You can now set up the equation (4x+2)+x+78=180. Then solve for x.
You should get, x=20.
Hello!
You can solve this algebraically
p + n = 115
p + 4.25n = 358.75
Subtract the two equations to eliminate p
-3.25n = -243.75
Divide both sides by -3.25
n = 75
Put n into the first equation
p + 75 = 115
Subtract 75 from both sides
p = 40
The answers are,
40 pounds of peanuts were sold
75 pounds of pecans were sold
Hope this helps!
