Answer:
C
Step-by-step explanation:
(c + 1)(c+1) = c² + c + c + 1 = c² + 2c + 1
The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft
<h3>How to maximize area?</h3>
Let the length of the rectangular area be x feet
Let the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 320 square feet
y = 320/x -----(1)
Cost to fence the three sides = $6 per foot
Therefore cost to fence one length and two width of the rectangular area
= 6(x + 2y)
Similarly cost to fence the fourth side = $13 per foot
So, the cost of the remaining length = 13x
Total cost to fence = 6(x + 2y) + 13x
Cost (C) = 6(x + 2y) + 13x
C = 6x + 12y + 13x
C = 19x + 12y
From equation (1),
C = 19x + 12(320/x)
C' = 19 - 3840/x²
At C' = 0, we have;
19 - 3840/x² = 0
19 = 3840/x²
19x² = 3840
x² = 3840/19
x = √(3840/19)
x = 14.22 ft
y = 320/14.22
y = 22.5 ft
Read more about Maximization of Area at; brainly.com/question/13869651
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This is the concept of geometry, we are required to calculate for the length of the shortest side. The shortest side is the side opposite to the smallest angle; Therefore using sine rule we shall have:
a/sin A=b/sinB=c/sinC
let a=20 and A=100
b=x and B=20
thus the shortest side will be given by:
20/sin 100=x/sin 20
x=(20sin 20)/100
x=6.95 feet
The answer is 6.95 feet
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
hope this helps :)
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