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
#SPJ1
Answer:
About 3891 people saw that movie.
Step-by-step explanation:
Day 1: 985 people
Day 2: (985*8)/10 (20% gone) = 788
Day 3: (788*8)/10 (20% gone) = 630.4
Day 4: (630.4*8)/10 (20% gone) = 504.32
Day 5: (504.32*8)/10 (20% gone) = 403.456
Day 6: (403.456*8)/10 (20% gone) = 322.7648
Day 7: (322.7648*8)/10 (20% gone) = 258.21184
Adding this up:
985+788+630.4+504.32+403.456+322.7648+258.21184=
985+788+630+504+403+323+258=3891
Assuming yo meant
f(x)=(1/3)4x²
sub 4 for x
f(4)=(1/3)4(4)²
f(4)=(1/3)4(16)
f(4)=(1/3)64
f(4)=64/3
Answer:
34 degrees
Step-by-step explanation:
ok so 180-111=69
then the opposite angle from 37 is also 37
the the missing angle from the left triangle has to be 103
so then the angle below x is 77
and so we know x = 34 degrees
I hope that made sense.
Umm maybe try:
f^-1 (x) = -4x/3 + 32/3
let me know if that’s right
