8. volume of cylinder is pi*r^2*h
So V= pi * (radius)^2 * height =720* pi
we know circumference = 2 * pi * r
if we look at first equation. We can edit it like
pi * r * r * h
now we can say it kind of looks like circumference equation but missing 2 so we multiply both sides by 2
2 * pi * r * r * h = 2 * 720 * pi
We can take out the 2 * pi * r and put in circumference (C)
c * r * h = 1440 * pi
We we know h is 20 so
c * r * 20 = 1440 * pi
c * r = 72 * pi
we have to solve for r first so break circumference back up
2 * pi * r * r = 72 * pi
r * r = 36
r = 6
plug into circum equation
C = 2 * pi * 6
C = 12 * pi
10. I assume the cylinders fill uo the box and if radius is 1.5 then diameter is 3. There are 5 in a row some 3 * 5 = 15 box length.
2 in a column so 2 * 3 = 6 box width
the height is 5
So
l * h * w = V
6 * 5 * 15 =V
V = 450
Answer:
2^1* 3^7
Step-by-step explanation:
8^-1 * 3^3/ 2^-4 * 9^-2
Negative exponents move from the numerator to the denominator or from the denominator to the numerator
2^4*9^2* 3^3 /8^1
Rewriting 9^2 as 3^2^2 = 3^4 and 8 = 2^3
2^4 * 3^3 * 3^4 / 2^3
2^4/ 2^3 = 2 and 3^3 * 3^4 = 3^(3+4) = 3^7
2* 3^7
The Greatest Common Factor of the given expression should be that expression that can divide both. First, factor both expression,
x^4 = (x³)(x) and x³ = (x³)(1)
Therefore, both can be factored by x³. The answer is the third choice.
<span><span>−<span>a<span><span>4</span><span></span></span></span>−4 <span>a<span>2 is the answer for your question. </span></span></span><span><span></span></span></span>
