Length of shorter piece is 13 ft
Length of longer piece is 61 - 13 => 48 ft
Given:

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15
To find:
The scale factor from PQRS to TUVW.
Solution:
We have,

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.
The scale factor is:



Therefore, the scale factor from PQRS to TUVW is
.
I think the answer is 22mn2+66m2n-64 since there are no more like terms
Answer:
Step-by-step explanation:
Answer:
The expression
represents the radius of the soap dispenser.
The expression
represents the height of the soap dispenser.
Step-by-step explanation:
The question says that the soap dispenser is in the form of a cylinder.
Now, we find the volume of the cylinder by using the given formula:
, where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.
Now, the volume is the product of radius squared and the height, if they both are functions of
, then the function to represent the volume must have cubic exponents.
Since, the radius is squared in the formula and it is a function of
that implies that the function of radius must have square as the exponent of
, therefore, the expression
will represent the radius of the soap dispenser and the expression
represents the height of the soap dispenser.