Answer:
2 2/3 cm
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the volume =96 pi and the diameter is 12
We want the radius
r =d/2 = 12/2 =6
96 pi = pi * (6)^2 h
96 pi = 36 pi h
Divide each side by 36 pi
96 pi/36 pi = 36pi h / 36 pi
8/3 = h
Changing from an improper fraction to a mixed number
2 2/3 = h
<h3>Answer: 33</h3>
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Work Shown:
8^(x+7) = 32^(x-9)
(8)^(x+7) = (32)^(x-9)
(2^3)^(x+7) = (32)^(x-9) .... replace 8 with 2^3
(2^3)^(x+7) = (2^5)^(x-9) .... replace 32 with 2^5
2^(3(x+7)) = 2^(5(x-9)) ... multiply exponents
3(x+7) = 5(x-9) ...bases are the same, exponents are the same
3x+21 = 5x-45
21+45 = 5x-3x
66 = 2x
2x = 66
x = 66/2
x = 33
Answer:
cx +cy = a² + b²
Step-by-step explanation:
In the end, he wants to show that c² = a²+b², so he will want to form the sum a²+b². That sum can be formed by adding the expressions for a² and b² just found:
cx +cy = a² + b² . . . . . . . Todd's next step
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Then the following steps are ...
c(x+y) = a² + b²
c² = a² + b²
Law of experimental Data I believe.
Hope that helps!!!
Answer:
45 days
Step-by-step explanation:
300 men = 90 days
the percentage of food consumed by one man
= ( 90 / 300 ) * 100
= 30% = 0.3
After 40 days
150 men remain to consume at 30%
determine the number of days the remaining food will last ( x )
= x / 150 = 0.3
therefore ; X = 150 * 0.3 = 45 days
