Answer:
1)
2)
3)
Step-by-step explanation:
Length = 16.3m
breadth = 8m
height = 6.2m
volume= Lbh
=(16.3×8×6.2)m
= 808.48 cubic meter
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
<h2>15</h2>
Step-by-step explanation:
To find w(- 7) substitute the value of t that's - 7 into w(t) that's for every t in w(t) replace it with - 7
That's
We have the final answer as
<h3>15</h3>
Hope this helps you
Answer:
<u><em>You will need to purchase 16 more gallons that cost $2.29 each for your final amount to be $36.64</em></u>
Step-by-step explanation:
You need to find how many miles you can get per gallon to use 160 miles on 5 gallons.
= . Meaning your unit rate for this would be 32 miles for 1 gallon
You then need to find out how many gallons you will need if you're going to 640 miles and get 32 miles per gallon.
= 20
Meaning you will need 20 gallons.
Now since you already know how many gallon you have which is 4. Then you know how much you need, 20 - 4 = <u>16</u>
Then since they will be $2.29 each, multiply 2.29 by 16 to get <u>$36.64</u>
Meaning you will need to <u><em>16 gallons costing 2.29 each</em></u> and you will spend <u><em>$36.64 dollars on the trip</em></u>
Answer:
A coordinate grid with a line passing through (negative 3, negative 3), (0, negative 2) and (3, negative 1)