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:
brainly.com/question/24487155
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Answer:
A <em> </em><em>and</em><em> </em><em>E</em><em> </em><em>is</em><em> </em><em>true</em><em>. </em><em>BCD</em><em> </em><em>is</em><em> </em><em>False</em>
Step-by-step explanation:
Let convert this into slope intercept form
So now let answer these questions,
A is TRUE the slope is the number in front of the x value. It is 20 so a is true.
B is False, Using (0, 500) The equation is wrong
C is false, we have a positive slope so it shifts upward from left to right.
D is false
the slope isn't 200.
E Is true the y intercept is when the x value is 0, what is the y value so plug it in we get
It equal 50.
Answer:
3.33%
Step-by-step explanation:
Given that :
Final amount A= 320
Principal P = 300
Time (t) = 2 years
Yes, the information is enough to obtain the interest rate :
Using the relation :
A = P(1 + rt)
r = interest rate
320 = 300(1 + r*2)
320 = 300(1 + 2r)
320/300 = 1 + 2r
1.0666666 = 1 + 2r
1.0666666 - 1 = 2r
0.0666666 = 2r
r = 0.0666666 / 2
r = 0.0333333
(0.0333333) * 100% = 3.33%
Use the percent proportion
21 x
—— = ——
100 300
to solve :
21 x 300 = 6300
6300 ÷ 100 = 63
Answer = 63 of Elmer’s shells are fossilized snail shells :)
Step-by-step explanation:
