Answer:
0.209205
Step-by-step explanation:
I put it in the calculator and got this...
Answer:
3 1/3
Step-by-step explanation:
Right side segments are proportional to left side segments:
5/6 = x/4
x = 4·5/6 = 3 1/3 . . . . . multiply by 4
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.
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Answer:
The Answer is 1 inch represents 11 feet.
Step-by-step explanation:
The original measurement, or the measurement of the middle school, is 363 feet. The measurement of the drawing is 33. To get the answer, you take 363 and divide it by 33 to get the scale factor of 11. This means that for each inch, there is 11 feet. Hope this helps!