Answer:
12
Step-by-step explanation:
To solve the problem, you have to leave the x alone,
To do so, you have to add 84 on each side
12x = 4x + 96
Then, subtract 4x on each side,
8x = 96
Then divide each side by 8, so
x = 12
Hope it helps!!
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200-(-2) is actually 200-1(-2)
So thats multiplication
Then its 200+2
So addition is the last calculation to be done.
Answer:
The angle complies with the state regulations.
Step-by-step explanation:
The angle of elevation is the angle 
in the figure, and from trigonometry we find that
taking the inverse sine of both sides we get
which gives
which is less than 5°, and therefore is well within the state regulations.
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
