Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
Answer:
6.2 and 6.4
Step-by-step explanation:
I am right please like
Answer:
Even
Step-by-step explanation:
Well if you have an odd number like 3, 5, 7, 9, and etc multiplied by an even number like 2, 4, 6, 8, and etc you will always get an even number
2 x 3 = 6 which is even 3+3
5 x 4 = 20 which is even 10+10
7 x 6 = 42 which is even 21+21
Given:
The shape is square.
To find:
The surface area and volume of a square.
Explanation:
The length of each side of the square is "a" units.
The formula for the surface area of the square is,

The formula for the volume of the square is,

Using these formulas, we can find the surface area and the volume of the square that has side length "a" units.
For example:
Let the side length of 3cm for a square.
So, the dimensions are 3cm by 3cm by 3cm.
That is,
The Length is 3cm.
The breadth is 3cm.
The height is 3cm.
So,

The surface area of the square is,

Therefore, the surface area of the square is 54 square cm.
The volume of the square is,

Therefore, the volume of the square is 27 cubic cm.