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:
the cat weighs 21 pounds.
the dog weighs 43 pounds
Step-by-step explanation:
dog = 3x-20 = x + 22
cat = x
3x-20 = x+22
3x = x+42 (add 20 to both sides)
2x = 42 (subtract x from both sides)
x = 21
Answer:
6^ (-15) = x
Step-by-step explanation:
6^-8 = blank 6^7
6^-8 = x* 6^7
Divide each side by 6^7
6^-8 / 6^7 = x 6^7 / 6^7
6^-8 / 6^7 = x
Since the bases are the same, we can subtract the exponents
6^ ( -8-7) = x
6^ (-15) = x
Step-by-step explanation:
what was his starting balance ?
Aliaa got a mark of 60 in her first 4 tests, so her total mark is 60 x 4 = 240. On her fifth test, she got a mark of 80.
So her average is:
(240+80)/5 = 320/5 = 64
Her avg is 64 (c).
