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:
Step-by-step explanation:
<u>Total number of marbles:</u>
<u>There are two possibilities</u>
- Orange then green or green the orange
<u>The probabilities are:</u>
- P(o&g) = 2/10*2/9 = 2/45
- P(g&o) =2/10*2/9 = 2/45
<u>Required probability is:</u>
- P = 2/45*2 = 4/45 = 0.08889
Correct choice is C
A = 6, 2
B = 3, 4
C = -10, 3
D = -4, 5
E = -5, -3
F = -4, -2
G = 3, -8
Answer:
y= -7/-4/-1/2/5/8
Step-by-step explanation:
Answer: the number of possible values of a are 3 and 6
Explanation:
Since a is a divisor of 12
Then let’s see what are the divisor for 12
12= 6 x 2
12= 3 x 4
And we know that 3 is a factor of a
So if a was 3 then 3/3 is exactly 1
And if a was 6 then 6/3 is exactly 2 with no remainder
And 3 and 6 are also the divisor of 12
12/6=2
12/3=4
So a should be 3 and 6
