Answer:
C. 162.5 sq ft.
Step-by-step explanation:
Given the following data;
S.A of smaller cylinder, S1 = 65 ft²
Ratio = 2:5 = 2 + 5 = 7
Let the total surface area be x.
S1 = 2/7 * x = 65
S1 = 2x = 65 * 7
S1 = 2x = 455
x = 455/2
x = 227.5 ft²
To find the surface area of the larger cylinder;
S2 = 5/7 * 227.5
S2 = 1137.5/7
S2 = 162.5 ft²
An outside angle of a triangle is equal to the sum of the two opposite inside angles.
Using the information in the picture, 132 is an outside angle and x and (3x-24) are the two opposite inside angles.
Setting up the equation you would have: 132 = x + (3x-24)
Now solve for x:
132 = x + (3x-24)
Simplify:
132 = 4x -24
Add 24 to both sides:
156 = 4x
Divide both sides by 4:
x = 156/4
x = 39
Answer:
Prism R (A)
Step-by-step explanation:
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