A^3c^3m^3
it would be a cubed or a to the third power, c cubed or c to the third power, and m cubed or m to the third power
Given that GI = 53, and
• GH = 3x - 11
• HI = 2x + 4
We can establish the following equality statement to solve for x:
GH + HI = GI
3x - 11 + 2x + 4 = 53
Combine like terms:
5x - 7 = 53
Add 7 to both sides:
5x - 7 + 7 = 53 + 7
5x = 60
Divide both sides by 5 to solve for x:
5x/5 = 60/5
x = 12
Substitute the value of x into the equality statement to verify if it is the correct value for x:
GH + HI = GI
3x - 11 + 2x + 4 = 53
3(12) - 11 + 2(12) + 4 = 53
36 - 11 + 24 + 4 = 53
53 = 53 (True statement. Thus, x = 12 is the correct value).
Therefore:
GH = 3x - 11
GH = 3(12) - 11
GH = 25
HI = 2x + 4
HI = 2(12) + 4
HI = 28
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Answer: b) 384 sq. in.
Step-by-step explanation:
Surface area of cube = 6a^2
= 6 (8)^2
= 6 x 64
= 384 sq. in.
Answer:
The formula 
Step-by-step explanation:
<em><u>Explanation</u></em>
Given W = x² - 2 y z
2 y z = x² + W
Dividing '2z' on both sides , we get

⇒ 
Answer:
The volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³
Step-by-step explanation:
Total Height of the punch bowl = 10 inches
Diameter of the bowl = d = 14 inches
Since, radius is half of the diameter, the radius of the bowl would be = r = 7 inches.
The shape of punch bowl is given to be cylindrical and we have to find the volume of the bowl. The formula to calculate the volume of a cylinder is:

Here, h represents the height.
We have to find the volume to fill the bowl till 1 inch from the top. Since, the height of bowl is 10 inches, we have to fill it to 9 inches. Therefore, the value of height(h) which we will substitute in the formula will be 9. Using the values in the formula gives us:

This means, the volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³