The volume of the prism is the second option, 1/3 cubic inch. You can find this by first finding the volume of the cube, which is 1/216 because you would need to do 1/6 × 1/6 × 1/6.
Then you need to find the volume of the prism in terms of the cubes, so you would do 12 × 3 × 2 = 72.
Then, you simply multiply 72 by 1/216, which is 72/216, which simplifies down to 1/3.
I hope this helps!
Answer:
Step-by-step explanation:
a). Equation: m∠K + 40° + 60° = 180°
[Since, these angles are located at a point of a straight line so they are supplementary angles]
b). m∠K = 180° - 100°
m∠K = 80°
c). Equation: m∠M + m∠K = 180°
[Since, ∠M and ∠K are the supplementary angles]
d). m∠M + 80° = 180°
m∠M = 180 - 80
= 100°
Answer:
The answer o your question is y=8
He went around 24 times and 4 times is a mile so 24/4 will tell us how many miles he biked. He biked 6 miles in thirty minutes. The formula distance = rate(time) will tell you how fast he is going.
6 = r(1/2) divide each side by 1/2 (The time has to be in hours)
12 = r
So he was going 12 miles an hour.
x + 2y = 9
x + 3y = 13
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Solve for x in the first equation. Subtract 2y from both sides.
x = 9 - 2y
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Plug x into the second equation.
(9 - 2y) + 3y = 13
Combine like terms.
9 + y = 13
Subtract 9 from both sides.
y = 4
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Plug y back into the first equation.
x + 2(4) = 9
x + 8 = 9
Subtract 8 from both sides.
x = 1
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x = 1
y = 4
