A. volume of the stage in the banquet hall = 22 x 15 x 4 = 1,320 cubic foot.
weight of the stage in the banquet hall:
1 cubic foot weighs 62.4 pounds
1,320 cubic feet will weigh 1,320 x 62.4 = 82,368 pounds.
b. volume of each cylindrical pillar = pi * r^2 * h = pi * (1/2)^2 * 9 = pi * 1/4 * 9 = 7.069 cubic feet
weight of each cylindrical pillar:
1 cubic foot weighs 62.4 pounds
7.069 cubic feet will weigh 7.069 x 62.4 = 441 cubic feet.
To find the new sides take the original sides and multiply it by the scale factor
12 * 1.5 = 18
10 * 1.5 = 15
14 * 1.5 = 21
So the new sides are 18, 15, 21. And they correspond to the 12, 10, and 14 respectively
Answer:
B. a = 5
Step-by-step explanation:
3(a - 4) + 1 = 9 - a
Distribute the 3 into the parenthesis.
3a - 12 + 1 = 9 - a
Add -12 and 1.
3a - 11 = 9 - a
Add a to both sides.
4a - 11 = 9
Add 11 to both sides.
4a = 20
Divide both sides by 4.
a = 5.
Proof:
3(a - 4) + 1 = 9 - a
Substitute variable.
3(5 - 4) + 1 = 9 - 5
Subtract inside parenthesis.
3(1) + 1 = 9 - 5
Multiply 3 and 1.
3 + 1 = 9 - 5
Add 3 and 1.
4 = 9 - 5
Subtract 5 from 9.
4 = 4.
A = 12.5
2/5 = 0.4
5/0.4 = a
The answer to the question is y=7.
