The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet
<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>
The given parameter is
Perimeter, P = 520 feet
Represent the shorter side with x and the longer side with y
One side of the garden is bordered by a river:
So the perimeter is:
P = 2x + y
Substitute P = 520
2x + y = 520
Make y the subject
y = 520 - 2x
The area is
A = xy
Substitute y = 520 - 2x in A = xy
A = x(520 - 2x)
Expand
A = 520x - 2x^2
Differentiate
A' = 520 - 4x
Set to 0
520 - 4x = 0
Rewrite as:
4x= 520
Divide by 4
x= 130
Substitute x= 130 in y = 520 - 2x
y = 520 - 2 *130
Evaluate
y = 260
The area is then calculated as:
A = xy
This gives
A = 130 * 260
Evaluate
A = 33800
Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet
Read more about area at:
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Answer:
yes
Step-by-step explanation:
For the mean, add together all of the numbers together (let's call the total x) and count how many numbers there are. (let's call this number y). divide x by y, and that is your mean. for the median, put all the numbers in order, and the median is the number in the middle. if there are two numbers in the middle, add them together and divide them by 2.
Answer:
(A)20%, 20%, 20%, 20%, 20%
Step-by-step explanation:
We are told that 20% of the M&M's produced by the Mars Corporation are Orange in color. If 5 students take a random sample of 50 M&M's, the most plausible percentage of orange candies that will be obtained is:
20%, 20%, 20%, 20%, 20%
This is as a result of the fact that in research experiments, a sample is a representation of the whole. Any result which holds for a random sample should hold for the total population and vice versa.
<span> </span> <span>if you want to determine the perimeter / length, use a normal measure - ft.
The area is
<span>and the volume</span></span>
