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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The first picture shows solution for a. For b). X=9,2
<span>Which of these numbers is irrational?
a. square root of 3
b. 0.25
c. 1/5
d. square root of 9
answer
</span><span>a. square root of 3
</span><span>--------------------------------
What is (-7)^5 in expanded form?
a. -7 • -7 • -7 • -7 • -7
b. -7 • 5
c. (-7) • 7 • (-7) • 7 • (-7) • -7
d. 5 • 5 • 5 • 5 • 5 • 5 • 5
answer
</span><span>a. -7 • -7 • -7 • -7 • -7 </span>
The number of white sweatshirts is 28
Step-by-step explanation:
Let ordered black shirts be represented by b
Let ordered white shirts be represented by w
So total sweatshirts will be represented by the equation
b+w=50
The total cost of the ordered sweatshirts will be represented by
10b + 12 w= $556
For simultaneous equations as;
b+w=50
10b+12w=556
solving the equations using substitution method where b=50-w
10(50-w)+12w=556
500-10w+12w=556
-10w+12w=556-500
2w=56
w=56/2= 28
b=50-w=50-28=24
Number of white sweatshirts is 28
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Simultaneous equation :brainly.com/question/12919422
Keyword : cost
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We know that
the length of a circumference=2*pi*r
for D1=18 cm--------------> r1=9cm
L1=2pi*9-------> 18pi cm
for D2=6 cm-----------> r2=3 cm
L2=2pi*3-------> 6pi cm
L2/L1----------> (6pi)/(18pi)---->1/3
the answer is the option A) multiplies by 1/3
