Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
Answer:
$912.36
Step-by-step explanation:
multiply regular price by 1.0875
Answer:
We know that ,
![\rightarrow \tt \cos( \frac{\pi}{3} ) = \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Ctt%20%5Ccos%28%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20%29%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
So ,
![\: \rightarrow \tt \cos( \frac{1}{2}x ) = \cos( \frac{\pi}{3} ) \\ \\ \rightarrow \tt \frac{1}{2}.x = \frac{\pi}{3} \\ \\ \rightarrow \tt x = \frac{2\pi}{3}](https://tex.z-dn.net/?f=%20%5C%3A%20%20%5Crightarrow%20%5Ctt%20%5Ccos%28%20%5Cfrac%7B1%7D%7B2%7Dx%20%29%20%20%20%20%3D%20%20%5Ccos%28%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20%29%20%20%5C%5C%20%20%5C%5C%20%20%20%5Crightarrow%20%5Ctt%20%5Cfrac%7B1%7D%7B2%7D.x%20%3D%20%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%5Crightarrow%20%5Ctt%20x%20%3D%20%20%5Cfrac%7B2%5Cpi%7D%7B3%7D%20)
we can add 2 pi to it since there will be no change in the value
Also,
![\: \rightarrow \tt \cos( \frac{14\pi}{6} ) = \frac{1}{2} \\ \\ \\ \rightarrow \tt \frac{1}{2} x = \frac{14\pi}{6} \\ \\ \rightarrow \tt x = \frac{7\pi}{3}](https://tex.z-dn.net/?f=%20%5C%3A%20%5Crightarrow%20%5Ctt%20%20%5Ccos%28%20%5Cfrac%7B14%5Cpi%7D%7B6%7D%20%29%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5Crightarrow%20%5Ctt%20%5Cfrac%7B1%7D%7B2%7D%20%20x%20%3D%20%20%5Cfrac%7B14%5Cpi%7D%7B6%7D%20%20%5C%5C%20%20%5C%5C%20%5Crightarrow%20%5Ctt%20x%20%3D%20%20%5Cfrac%7B7%5Cpi%7D%7B3%7D%20)
Answer : Option B
Answer:
Q=3
Step-by-step explanation:
There is a range of 5+7=12 points. This means if we are dividing it into thirds each point (R, P, Q, S) will have a distance of 4 between them and the points on either side.
So, since P is 4 larger than R, then P=-5+4=-1, and Q=-1+4=3.
Answer:
9 acres per day
Step-by-step explanation:
Divide the total amount planted with the amount of days.
63/7 = 9
9 acres per day is your answer
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