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:
Regular Polygons
Sides - Name - Interior Angles
13 - Triskaidecagon - 152.31°
14 - Tetrakaidecagon. - 154.29°
15 - Pendedecagon. - 156.00°
16 - Hexdecagon - 157.50°
I added some more incase u need it....
Hope it helped u if yes mark me BRAINLIEST I!
Tysm!
:)
Answer:
.
Step-by-step explanation:
We have been given that Nike reported a profit of $28,951,000 for one quarter (3 months), a profit of $20,570,000 for the second quarter, a profit of $15,342,000 the third quarter, and a loss of $48,037,000 for the fourth quarter.
To find the net profit for year, we will subtract the loss in the 4th quarter from the sum of profit in 3 quarters as:
Therefore, the net profit for the year was .
Answer:
216 cubic centimeters
Step-by-step explanation:
I divided the shape as two separate rectangular prisms.
4 times 6 times 6 = 144
3 times 4 times 6 = 72
144 + 72 = 216
I hope this helps! :-)