Answer:
11.547 ft wide by 5.774 ft high
769.800 ft³ capacity
Step-by-step explanation:
Volume is maximized for a given area by having the area of a pair of opposite sides equal the area of the bottom. That means the overall area of the container is 3 times the area of the bottom. Then the square bottom will have a width of ...
w = √(400/3) ≈ 11.547 . . . feet
The height is half that, so is ...
h = w/2 = 11.547/2 ≈ 5.774 . . . feet
The capacity is then ...
w²h = (11.547 ft)²(5.774 ft) = 769.800 ft³
The container is 11.547 ft wide by 5.774 ft high. It has a capacity of 769.800 cubic feet.
_____
You want to maximize w^2h subject to w^2 + 4wh = 400. Solving the constraint equation for h, we get h = (400 -w^2)/(4w) and the volume we want to maximize can be written as ...
V = w(400-w^2)/4
This will be an extreme when dV/dw = 0, so we want to solve ...
dV/dw = 0 = 100 -(3/4)w^2
w^2 = 400/3
w = √(400/3) . . . . . as above
I need help can you help me?
Answer:
500
Step-by-step explanation:
hope this helps
What is the average weight of the adult elephants in the exhibit? This is the correct statistical question.
<h3>What is the statistical questions?</h3>
Statistical question is that type of question which have more than one possible answers.
The answer of statistical question is the collection of various points of data.
The answer of statistical question depends on variety and situations.
The answer of statistical question may be range . Answer of statistical question are more than one.
What is the average weight of the adult elephants in the exhibit?
This is the correct statistical question.
Learn more about statistical question;
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Your answer is 26,453
Although I don't feel as if this is a homework question, I will still show the work.
Work:
Step 1: 999 + 999 = 1,998
Step 2: 1,998 + 999 = 2,997
Step 3: 2,997 + 23,456 = 26,453
Hope I was able to help! :)
