West High School has a math building in the shape of a regular octagon. When Mrs. Woods measures an interior angle of the octagon (which is inside her classroom), she gets 135°.
Mrs. Wood’s ceiling is 10.0 feet high and the length of one side of the building is 25.0 feet. What is the volume of West High School’s math building?

8 sides

The building is an octagon

Step-by-step explanation:

The sum of all the interior angles in a polygon can be found by the equation

S

=

180

(

n

−

2

)

where

n

is the number of sides the polygon has.

We know that one interior angle is

135

degrees and that all the interior angles are the same because this is a regular polygon. So the sum of the angles must be

135

n

(

135

degrees times the number of sides, or the number of angles).

135

n

=

180

(

n

−

2

)

135

n

=

180

n

−

360

135

n

+

360

=

180

n

45

n

=

360

n

=

8

→

There are

8

sides and

8

interior angles of

135

degrees

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.