The number of times that the shape will map back onto itself as the shape rotates 360° about its center is 6.
<h3>What is the sum of all the exterior angles of a regular polygon?</h3>
For a regular polygon of any number of sides, the sum of its exterior angle is 360° (full angle).
Regular polygons have all sides the same and that apothem bisects the side in two parts, (provable by symmetry).
A regular polygon with n sides can map onto itself by n times
It will rotate 360°/n about its center every time and will map onto itself
Examples are in the attached table as well as the solution.
The number of times that the shape will map back onto itself as the shape rotates 360° about its center is 6.
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Answer:
Step-by-step explanation:













Answer:
Approximately 439.6 square millimeters.
Step-by-step explanation:
The formula for the surface area of a cone is the following:

Where, <em>r </em>is the radius and <em>l</em> is the slant height.
The radius is 7 and the slant height is 13. We also use 3.14 for π Thus:

We can solve this in many ways, let's try this one.
T∧2 = 4 pi∧2 * a∧3 / GM First we will multiply whole equation with variable( or parameter) M and get
M * T∧2 = 4 pi∧2 * a∧3 / G After that we will divide whole equation with variable ( or parameter ) T∧2 and get
M = 4 pi∧2 * a∧3 / G * T∧2
This is correct answer
Good luck!!!
The area of the reduced rug is 25 square feet
<h3>How to determine the area?</h3>
The dimensions are given as:
Length = 12.5 feet
Width = 10 feet
The area is calculated as:
Area = Length * Width
So, we have:
Area = 12.5 * 10
Evaluate
Area = 125
When reduced by one-fifth, we have:
Area =1/5 * 125
Evaluate
Area = 25
Hence, the area of the reduced rug is 25 square feet
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