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kap26 [50]
2 years ago
15

Solve for the value of p. (6p-2) न (3p-7)|

Mathematics
1 answer:
Westkost [7]2 years ago
7 0

Answer:

The sum of angles on a straight line is 180 degrees.

Therefore,

(6p-2)+(3p-7)=180

6p-2+3p-7=180

9p-9=180

9p=189

p=21

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A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides is to be made of material t
sergeinik [125]

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

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Read more about Maximization of Area at; brainly.com/question/13869651

#SPJ1

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