Answer:
The radius is 9.0 units
Step-by-step explanation:
we know that
In the right triangle of the figure ABC
Applying the Pythagorean Theorem
substitute the given values
solve for AB
Remember the the side AB of right triangle represent the radius of the circle
therefore
The radius is 9.0 units
Answer:
A
Step-by-step explanation:
Given
4n² + 4(4m³ + 4n² ) ← distribute terms in parenthesis by 4
= 4n² + 16m³ + 16n² ← collect like terms
= (4n² + 16n²) + 16m³
= 20n² + 16m³
= 16m³ + 20n² ← in standard form → A
Answer:
0.627%
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability of a randomly selected household to be audited and owns a dog = P(A ∩ B) = P(A) x P(B)
where A = household tax returns audited
B = percentage of households that own dogs
0.0165 x 0.38 = 0.627%
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:
6 and 12 have the greatest common factor of 2
