Paul lives on the 13th avenue, which has houses numbered from 13 to 1300. Dennis wants to

V = x³ - 6x²y + 12xy² - 8y³

V = (x - 2y)³

   = (x - 2y)(x - 2y)(x - 2y) ( start by expanding the first pair of factors )

   = (x² - 4xy + 4y²)(x - 2y) ( multiply the terms from the first group with those in the second )

   = x³ - 4x²y + 4xy² - 2x²y + 8xy² - 8y³ ( combine similar terms )

  = x³ - 6x²y + 12xy² - 8y³

Total students enrolled = 18 + 7 = 25

Mean height of these 25 students = 105 - 5 = 100 cm

Total height of all students combined = 100 x 25 = 2500cm

Final answer: 2500cm

Step

Calculate the volume of a cylinder

We understand that

the volume of a cylinder can be expressed as

In this scenario

Insert the values

Step

Calculate the volume of a cone

We are aware that

the volume of a cone equals

In this example

Use the Pythagorean Theorem to determine the height h

Step

Calculate the empty volume inside the cylinder

Thus

the final result is

the empty volume inside the cylinder is

Answer:

F' = (7, 6)

R' = (-1, 7)

I' = (-2, -5)

O' = (6, -6)

Step-by-step explanation:

The reflection rule across the y-axis states that (x, y) ---> (-x, y). Thus, all x coordinates must be converted to their negative counterparts. The -7 from F becomes 7, the 1 from R becomes -1, the 2 from I turns into -2, and the -6 from O changes to 6.

Answer:

Two thirds of a straight angle is 120°

Explanation:

First, we define a straight angle:

A straight angle measures 180°

Now, we need to find two thirds of that straight angle

To compute the fraction, multiply the straight angle's measurement by

Thus:

of a straight angle = degrees

Hope this helps:)