Answer:
volume = 338 x 20 = 6760 cm^3
Step-by-step explanation:
large rectangular top area = 14 x 22 = 308 cm^2
small rectangular top area = 6x5 = 30 cm^2
total top area = 308 + 30 = 338 cm^2
volume = 338 x 20 = 6760 cm^3
Answer:
The expression that is equivalent to -6x+9y would be -3(2x-3y)
Let the two numbers be x and y
x + y = 5(x-y)
x + y = 5x -5y
6y = 4x
x= (6/4)y
x= (3/2)y
there the ratio is 3/2
<h2>
Answer:</h2>
The ratio of the area of region R to the area of region S is:

<h2>
Step-by-step explanation:</h2>
The sides of R are in the ratio : 2:3
Let the length of R be: 2x
and the width of R be: 3x
i.e. The perimeter of R is given by:

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:
)
Hence, we get:

i.e.

Also, let " s " denote the side of the square region.
We know that the perimeter of a square with side " s " is given by:

Now, it is given that:
The perimeters of square region S and rectangular region R are equal.
i.e.

Now, we know that the area of a square is given by:

and

Hence, we get:

and

i.e.

Hence,
Ratio of the area of region R to the area of region S is:

Answer:
We can find if a critical point is a local minimum or maximum by looking at the second derivatives.
Step-by-step explanation:
If you take the first derivative, you will find the slope at the given point, which if it is a minimum or a maximum will be 0.
Then we take the second derivative. If that number is a positive number, then we have a local minimum. If it is a negative number, then it is a local maximum.