Answer:
Step-by-step explanation:
radius r = 4 in
slant height L = 15 in
base area = πr² = 16π in²
lateral area = πrL = 60π in²
surface area = 76π in²
r = 4×6, L = 15×6
base area = (4×6)²π = 16π×36
lateral area = 60π×36
surface area is multiplied by 36
Answer:
225 m²
Step-by-step explanation:
If W is the width of the rectangle, and L is the length, then:
60 = 2W + 2L
A = WL
Use the first equation to solve for one of the variables:
30 = W + L
L = 30 − W
Substitute into the second equation:
A = W (30 − W)
A = 30W − W²
This is a parabola, so we can find the vertex using the formula x = -b/(2a).
W = -30 / (2 × -1)
W = 15
Or, we can use calculus:
dA/dW = 30 − 2W
0 = 30 − 2W
W = 15
Solving for L:
L = 30 − W
L = 15
So the maximum area is:
A = WL
A = (15)(15)
A = 225
One is a, and the other is just A.
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Answer:
1/3 ig
Step-by-step explanation:
