Step-by-step explanation:
Let x be the length and y be the width of the rectangular plot.
The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,
x+2y = 1500
x = 1500 - 2y ....(1)
We know that the area of a rectangular plot is given by :
A = xy ....(2)
Put the value of x from equation (1) in (2)
.....(3)
For largest area, differentiate above area equation wrt y.

Put the value of y in equation (1).
x = 1500-2(375)
= 750 m
Put the value of y in equation (3).

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.
Answer:
All except one interval [-2,8]
Step-by-step explanation:
Notice that the function, wich an hyperbola, has a vertical asymptote in both -2 and 8 and there is nothing between this two values.
So we will exclude what's between them out of the domain.
False, it may change the side length (not 100% sure) but I know for sure dilating doesn't change the angle
Hello!
The find the volume of a cone you divide the product of the base and height by 3. First we find the area using

r².
A=49(3.14)=153.86
Now we multiply this by the height.
153.86(18)=2769.48
Now we divide by 3.
2769.48/3=923.16
Now we divide this number by 21 to see how many days it will take for the container to become empty.
923.16/21=43.96≈44
Therefore, our answer is
A) 44 days.
I hope this helps!