Answer:
8/10
Step-by-step explanation:
You would divide the cards and so you will get your answer
Answer:
The volume of the sphere is 14m³
Step-by-step explanation:
Given
Volume of the cylinder = 
Required
Volume of the sphere
Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;
<em>Using the volume formula of a cylinder</em>
The formula goes thus
Substitute 21 for V; this gives
Divide both sides by h
The next step is to solve for the volume of the sphere using the following formula;
Divide both sides by r
Expand Expression
Substitute
Multiply both sided by r
------ equation 1
From the question, we were given that the height of the cylinder and the sphere have equal value;
This implies that the height of the cylinder equals the diameter of the sphere. In other words
, where D represents diameter of the sphere
Recall that 
So, 
Substitute 2r for h in equation 1
Hence, the volume of the sphere is 14m³
Answer: the first answer is 72
Step-by-step explanations
24x3=72
Answer: x=3
Step-by-step explanation:
To find the zeros, you want to first factor the expression.
x³+x²-36
(x-3)(x²+4x+12)
Now that we have found the factors, we set each to 0.
x-3=0
x=3
Since x²+4x+12 cannot be factored, we can forget about this part.
Therefore, the zeros are x=3. You can check this by plugging the expression into a graphing calculator to see the zeros.
Answer:
Step-by-step explanation:
First factor the second binomial
38^9 - 38^8 = 38^9 (38 - 1 ) = 38^9(37)
So there's your 37. This whole expression is divisible by 37
Now do the first binomial
36^5 - (36^4)*6
36^4(36 - 6)
36^4(30) and there's your thirty.
That first term is going to cause a bit of trouble showing that 36^4 * 6 = 6^9
6(36^4) = 6(6^2)^4 = 6^1 * 6^8 = 6^9
So this factors into 30*(36^4)*37*38^9
