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: x=9
Step-by-step explanation:
7x=2x+45
5x=45
x=9
Answer:
5/13
Step-by-step explanation:
P(red) =
red
total
=
5
13
Answer:
If there's 10 cookies in the jar, and if 2 are peanut butter, the fraction for peanut butter cookies is 1/5, simplified.
Step-by-step explanation:
<u>Given:</u>
- 10 Cookies Total
- 3 are Oreo cookies
- 2 are peanut butter cookies
- 4 are chocolate chip cookies
- 1 is a sugar cookie
Bolded text represents what we'll be focusing on.
2 of the cookies are peanut butter, and there's 10 cookies total.
As a fraction, the peanut butter cookies are represented as:
2/10.
2/10 represents 2 peanut butter cookies out of 10 cookies altogether.
<u>Simplify:</u>
2/10 can be simplified by dividing both numerator and denominator by 2:
Quotient: 1/5.
1/5 is your answer.
