Answer:
s =
Step-by-step explanation:
V = s^3
Plug in the given volume.
999 = s^3
Take the third root of both sides to cancel out the ^3.
= s
Lenni has a rectangular garden with a length of 5x-7 and a width of x-2.
2 answers:
Answer:
P = 12x - 18, x = 7 feet
Step-by-step explanation:
We know that the formula for the perimeter of a rectangle is:
Where l is the length and w is the width. So we just substitute in for variables:
P = 2 (5x - 7) + 2 (x - 2)
We distribute by foiling:
P = 10x - 14 + 2x - 4
Then combine like terms:
P = 12x - 18
This can be further factored to 6(2x - 3) if needed.
Since we know the expression for perimeter, we can just set it equal to 66 feet, like this:
6(2x - 3) = 66
Divide both sides by 6:
2x - 3 = 11
Add 3 to both sides:
2x = 14
Divide both sides by 2:
x = 7 feet
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Answer:
781250
Step-by-step explanation:
Let y is the length of the farm field
Let x is the width of the farm field
Given that, no fencing is necessary along the rock wall, so we can find the perimeter of the farm is:
2x + y = 2500 feet
<=> y = 2500 -2x
The are of the farm has the following formula:
A = x*y
<=> A = x(2500 - 2x)
<=> A = 2500x -2
To have the maximum area of field in square feet, we need to use differentials to estimate:
= 2500 - 4x
Set = 0, we have:
2500 - 4x = 0
<=> x = 625 feet.
=> y = 2500 - 2*625 = 1250 feet
So the maximum area of field is:
A = x*y = 625*1250 = 781250
Answer:
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