Answer:
33.195%
Step-by-step explanation:
AMDM: 221 students
Physics: 241 students
Taking both: 80 students
80/241 = ~33.195%
The shorter one is 13 and the other one is 52.
1. 2x + 50 = 100
subtract 50 on both sides and then divide by 2.
x = 25
180 - 100 = 80
m
2. 7x - 4 = 87
add 4 on both sides and divide by 7.
x = 13
180 - 87 = 93
m
3. 5x - 2 = 38
add both sides by 2 and divide by 5.
x = 8
180 - 38 = 142
m
4. 14 + 6x = 134
subtract both sides by 14 and divide by 6.
x = 20
180 - 134 = 46
m
5. x = 53
m
6. x = 14
m
Answer:
True they represent the same thing
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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