Answer:
a = 14.73
Step-by-step explanation:
This ratio can also be written like this:
Then you can cross multiply to get
11a = 6 x 27
11a = 162
Divide both sides by 11
11a / 11 = 162 / 11
a = 14.73
Gloria would like to construct a box with volume of exactly 55ft3 using only metal and wood. The metal costs $7/ft2 and the wood
1 answer:
Answer:
The dimensions of the box are:
W=2.97 ft
L = 8.91ft
H=2.08ft
Step-by-step explanation:
Volume of the box= 55ft³
LWH=55
Length of the base, L = 3W
3W*WH=55
3W²H=55
Metal costs =$7/ft²
Wood costs =$5/ft².
Area of the Sides= 2(LH+WH)
=
Cost of the sides therefore is:
Area of the top and bottom=2LW=2*3W*W=6W²
Cost=7*6W²=42W²
Total Cost, C(W) of the box:
To find the minimum cost, we set the derivative of C(W) to be equal to zero.
84W³=2200
W³=26.19
W=2.97 ft
L = 3W=3*2.97=8.91ft
The dimensions of the box are:
W=2.97 ft
L = 8.91ft
H=2.08ft
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So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.
Now try plugging any number n into the
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