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Answer: Adjacent</h3>
Adjacent angles share a common side. Think of two neighboring adjacent apartments that share a common wall.
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.
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The time at which the break started is 10 : 30 am.
<h3>What time did the break start?</h3>
The first step is to convert the time between 10:00 a.m. - 11:15 a.m. to minutes.
The time between 10:00 a.m. - 11:15 a.m. is 1 hour 15 minutes
In order to convert hours to minutes, multiply hour by 60
1 x 60 = 60 minutes
60 minutes + 15 minutes = 75 minutes
The second step is to subtract the time from the break from the duration of the golf lesson
75 minutes - 15 minutes = 60 minutes
The third step is to divide 60 minutes into equal halves by dividing 60 by 2
60 / 2 = 30 minutes
The last step is to add 30 minutes to the time the lesson started : 10 : 00 am + 30 minutes = 10 : 30 am
To learn more about how to calculate time, please check: brainly.com/question/26290873
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The answer is b good luck
yes all proportional relationships are all linear relationships
non-proportional=non-linear