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vodka [1.7K]
2 years ago
12

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Mathematics
1 answer:
11111nata11111 [884]2 years ago
6 0
Hope this is helpful

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a famer has 120 feet of fencing with whcih to enclose two adjacent rectangular pens as shown. what dimeensions should be used th
Nat2105 [25]

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Let the area be y .

Area = (base) × (height)

Base = 2x

Height = h

Let the area of the rectangular pens be y .

∴ y = 2xh

Perimeter of all the fencing = 4x+3h

∴ 4x+3h = 120

now we solve for h

3h = 120-4x

h = 40 - 4/3 x

Now we will substitute this value in the above first equation:

y = 2xh

or, y = 2x (40 - 4/3 x)

or, y = 80x - 8/3 x²

Now for the maximum area we have to find the first order differentiation of y

now,

dy /dx = 80 - 16/3 x

At dy/dx = 0 we get the value of x for which y is maximum.

80 - 16/3 x = 0

or, - 16/3 x = -80

or, x = 15 feet

Hence height =  40 - 4/3 x = 40 - 20 = 20feet

Maximum area = 2xh = 2×15×40 = 1200 square feet

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Disclaimer : The missing figure for the question is attached below.

To learn more about area visit:

brainly.com/question/27531272

#SPJ4

6 0
1 year ago
Evaluate the expression when C=6 .<br> C^2-7
pashok25 [27]

Answer: 6^2-7=29

Step-by-step explanation:

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3 years ago
Find the missing angle
RoseWind [281]
164 or sum like that don’t take this as a definite answer cause I am not sure
4 0
3 years ago
On the day of his 18th birthday harry decided to start saving up money regularly starting on that day he could save £30 on the s
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Answer:

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Step-by-step explanation:

60-18= 42  years

42×12= 504 months

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3 years ago
Explain the strategy you would use to solve the following equation without a model. You can write out the fraction names or use
Artist 52 [7]

Answer:

1/2

Step-by-step explanation:

2 1/4 - 1 3/4 Because the denominator are already the same, all you have to do is make it a mixed number and subtract. To do that you multiply the whole number to the denominator and add that new number to the numerator. So you would then have.

9/4 - 7/4

Keep the denumerator the same and subtract the numerators.

2/4

Then simplify

1/2

4 0
2 years ago
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