A regular polygon is rotated 20 degrees about its center, carrying the polygon onto itself. How many sides does the polygon have? 1) 20

2) 8

3) 36

4) 10

36

Step-by-step explanation:

Given that :

Rotation about polygon's center = 20°

To carry the polygon onto itself Angle of rotation is obtained by :

360° / n

Where n is the number of sides in the polygon :

360° / n = 20°

360° = 20 * n

360 = 20n

n = 360 / 20

n = 18

Hence, the polygon has 18 sides or a multiple of 18

The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

The answer is in the image 

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet