Answer:
First, plug the values of the volume, pi, and radius into the formula for volume of a cylinder. Next, square the radius and multiply the values together. Last, divide each side by 113.04 for the answer, remembering to include the appropriate unit of measurement. The answer is the height of the cylinder is 8 inches.
Step-by-step explanation:
8 inches
Hello there!
1/3 (9 - 6x) = x
Start by using the distributive form
(1/3)(9) + (1/3)(-6x) = x
9/3 + (-6x)/3 = x
3 - 2x = x
-2x + 3 = x
-2x - x + 3 = 0
-3x + 3 = 0
-3x = 0 - 3
-3x = -3
x = -3/-3
x= 1
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The answer is in the pictures.
Answer:
∠G, ∠HGI, ∠IGH
Step-by-step explanation:
» <u>Concepts</u>
To name an angle, you MUST include the vertex either in the middle or have it standing by itself. To clarify, you can either call this angle ∠G, ∠HGI, or ∠IGH because they all include the vertex, G, in the middle or by itself. You put ∠HIG, which is incorrect because the vertex <u>is not </u><u>I</u>.
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Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
