Answer:
im leaning on parallelogram
Step-by-step explanation:
Answer:
- 5
Step-by-step explanation:
Note that - (- 12) = + 12
Thus
- 17 - (- 12) = - 17 + 12 = - 5
It looks like Tom subtracted 12 from - 17, that is - 17 - 12 = - 29
Answer:
or ![\frac{85}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B85%7D%7B12%7D)
Step-by-step explanation:
total boxes = Jills boxes + Mikes boxes
total boxes = ![5\frac{1}{3} +1\frac{3}{4}](https://tex.z-dn.net/?f=5%5Cfrac%7B1%7D%7B3%7D%20%2B1%5Cfrac%7B3%7D%7B4%7D)
= ![\frac{16}{3} + \frac{7}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7D%20%2B%20%5Cfrac%7B7%7D%7B4%7D)
=
=
= ![7\frac{1}{12}](https://tex.z-dn.net/?f=7%5Cfrac%7B1%7D%7B12%7D)
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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