Answer:
The maximum possible area of the pasture = 2450 square feet
Step-by-step explanation:
Let the length of the creek be 'L'
and, the width of the rectangular area be 'B'
Data provided:
The rectangular area is enclosed using the creek as one side and fencing for the other three sides
Thus, 2B + L = 140 feet
or
L = 140 - 2B .........(1)
Now,
Area of the rectangular land, A = L × B
using (1)
A = ( 140 - 2B) × B
or
A = 140B - 2B²
Now to maximize the area, differentiating the area with respect to width 'B'
we have
= 140 - 2 × 2 × B ...........(2)
for point of maxima or minima ,
= 0
thus,
140 - 2 × 2 × B = 0
or
4B = 140
or
B = 35 feet
differentiating (2) with respect to B, for verifying the maxima or minima
= 0 - 2 × 2 = -4
since,
is negative,
therefore,
B = 35 feet is point of maxima
from (1)
L = 140 - 2B
or
L = 140 - 2 × 35
or
L = 140 - 70 = 70 feet
Hence,
The maximum possible area of the pasture = L × B
= 70 × 35
= 2450 square feet
Answer:
18 gray puppies
Step-by-step explanation:
Think of this as finding equivalent fractions/ratios. 3/5 puppies are gray. what over 30 puppies would be gray? to find 3/5=?/30, you multiply the numerator and denominator by 6. 3 times 6 is 18.
Answer:
I think 140
Step-by-step explanation:
180=x+30+10
x=180-40
x=140
Answer:
the answer is a
Step-by-step explanation:
above sea level is positive and below sea level is negative
hope this helps
The number of feet of fencing that is needed to go around the pool path is D. 201 ft.
<h3>
How to calculate the number of feet?</h3>
We have a pool with a radius of 28 feet. The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.
= (28 + 4) feet
= 32 feet
The circumference of the outer edge of the pool path would be equal to the perimeter.
p = 2 * pi * r
p = 2 * 3.14 * 32
p = 200.96 feet
p = 201 feet
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