Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
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:
Kevin
Step-by-step explanation:
Answer
0.63
Explanation:
Given the expression
tan 32
Using Calculator
tan 32 = 0.6248
Converting to nearest hunderdth
tan 32 = 0.63
hence tan 32 to the nearest hunderdth is 0.63
Answer:
B
Step-by-step explanation:
For the divisor on the left of the division symbol, the -3 symbolizes that the -3 is a root. This means that when we plug -3 into our divisor, the answer is 0. Therefore, as x+3=0 when x=-3, the divisor is x+3.
Next, for the dividend, we can start on the left with no x multiplied to it and then add one degree of x for each value to the left. This results in
6 + -4 * x¹ + 4 * x² + 2 *x³
= 2x³ +4x² -4x+6
