The correct answer is B) 9 m.
The measure of the sector of circle R is 32π/9 m. The measure of the central angle is 80°. This means that the sector is 80/360 = 2/9 of the circle. The area of a circle is given by A=πr², so the area of the sector is A=2/9πr². To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.
Using this same formula for circle S, we will work backward to find the radius:
18π = 2/9πr²
Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²
Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²
Take the square root of both sides:
√81 = √r²
9 = r
Answer:
I dont understand where are the statements
Answer:
(5/2)√13 ≈ 9.0139
Step-by-step explanation:
The longer hypotenuse is found using the Pythagorean theorem as ...
The right triangles are AA similar, and vertical sides correspond. Their ratio, smaller/larger is 5/8. That means the hypotenuse of the smaller triangle, A, is 5/8 of the hypotenuse of the larger one.
Answer:
8/3 cups
Step-by-step explanation:
Since he needs 2/3 cups for each batch, and he wants to make 4 batches, we can add 2/3 4 times, or multiply 2/3 times 4.
2/3+2/3+2/3+2/3=8/3
2/3*4=8/3
He needs 8/3 cups for 4 batches.
This can also be written as a mixed number: 2 2/3 cups
Answer:
y = 6x + 8
Step-by-step explanation:
