Answer:
9:20
Step-by-step explanation:
Given:
Surface area of shape A = 9 cm²
Surface Area of shape B = 16 cm²
Ratio of volume of shape A to B = 27:125
Required:
Find the ratio of the height of shape A to the height of shape C.
Ratio of surface area (A:B)² = ratio of linear measures (A:B)
Thus,
(A:B)² = (A:B)
(A/B)² = (A/B)
Take the square root of both sides:
Ratio of volume of shape B to C = 27:125
Thus,
(B:C)³ = 27:125
Take the cube root of both sides:
Therefore, ratio of lengths A:B:C =
3:4:C
A:3:5
To make them equivalent, we have:
9:12:C
A:4:20
Therefore, the ratio of the height of shape A to the height of shape C =
9:20
Answer:
x=7
Step-by-step explanation:
6 full 3/8 servings but 6.6667 exact.
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- The equation :
Area = length x width
- Substitute the values in :
Area = (x - 5)(x - 5 + 22)
(Note : the 'x' is for the algebraic expression x in the example above)
- Now you have to simplify the second parenthesis:
Area = (x - 5)(x + 17)
- Now expand :
Area = x^2 + 17x - 5x - 85
- Simplify by collecting like terms :
Area = x^2 + 12x - 85
(Note : x^2 means x squared)
Now you have your answer as:
x^2 + 12x - 85 feet^2
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Answer:
32−4x=12
Step-by-step explanation:To be honest I dont think I have a good explanation but I do know my answer is acurate.