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Anna71 [15]
4 years ago
8

A regular 18-sided polygon is rotated with the center of rotation at its center. What is the smallest degree of rotation needed

to map the polygon back on to itself?
Mathematics
2 answers:
faltersainse [42]4 years ago
8 0
360/18=20 therefore the smallest degree of rotation would be 20
dem82 [27]4 years ago
4 0
It will be easier to explain how to solve this question in a square. If you rotate 4-sided square from the centre, you need to rotate it 90 degrees. The formula for this would be: 360 ° /the side count. In a square, it would be 360° /4= 90°.

In 18-sided polygon, the calculation would be: 360°/ 18 side= 20°
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120 books increased by 55%
DiKsa [7]
Simplest way to do this:
 number of books= 120
 percentage represented by 120= 100%
 increase current percent by 55%= 155%

: . 55% increase = original number of books * (155%)
                           = 120 * (155/100)
                           = 186
6 0
4 years ago
I need the answers for the seven angels​
Artist 52 [7]

Answer:

<1=83

<2=97

<3= 83 (given)

<4=97

<5=83

<6=97

<7=83

<8=97

Step-by-step explanation:

They give you the angle for 3 which is 83, so from there all you have to do is find the equivalent angles which are angle 1,5,7. Then for angles 2,4,6,8 you subtract 83 from 180 and you get 97.

7 0
3 years ago
A pile of sand is in the shape of a cone. The diameter of the sand pile is 18 ft and the height is 10 ft. What is the volume?
Alex17521 [72]

Answer:

Step-by-step explanation:

Since the pile of sand is conical, we would apply the formula for determining the volume of a cone which is expressed as

Volume = 1/3 × πr²h

Where

r represents the radius of the cone.

h represents the vertical height of the cone.

π is a constant whose value is 3.14

From the information given,

Diameter = 18 feet

Radius = Diameter/2 = 18/2

Radius = 9 feet

Height = 10 feet

Therefore,

Volume = 1/3 × 3.14 × 9² × 10

Volume = 1/3 × 3.14 × 81 × 10

Volume = 847.8 ft³

3 0
3 years ago
NEW HELP WITH THIS QUESTION FOR A TEST!!! QUICK, WILL GIVE BRAINLIST
Blababa [14]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP
sweet-ann [11.9K]

Answer:

m < ANM = 36 degrees.

AM = 9.40 cm to the nearest hundredth.

Perimeter =  94.05 cm to the nearest hundredth.

Step-by-step explanation:

As we have a regular pentagon:

m < ANB = 360 / 5

= 72 degrees

So m < ANM = 1/2 * 72

= 36 degrees.

In the triangle ANM, AN = 16 so

sin 36 = Am / 16

AM =  16 sin36

= 9.4045 cm.

AB = 2 * AM = 18.809 cm

So as all sides are equal:

Perimeter = 5 * 18.809

= 94.05 cm.

4 0
3 years ago
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