Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
2 answers:
<u>Answer-</u>
<em>When rotated a angle of 72°, a regular pentagon coincides with its pre-image.</em>
<u>Solution-</u>
A polygon is regular when all angles are equal and all sides are equal. So, when a pentagon's all 5 angles and sides are equal then it's called as a regular pentagon.
The angel subtended by two consecutive radius of a regular pentagon(i.e the line joining vertices and the center of the pentagon) at the center is 72°.
Due to its symmetry when a regular pentagon is rotated 72° around its center(both clockwise and counter-clockwise), it produces same pentagon as before.
You might be interested in
Answer: OPTION C.
Step-by-step explanation:
1. To solve this problem you must apply the Pythagorean Theorem, which is shown below:
Where a is the hypotenuse, and b and c are the legs of the triangle.
2. When you solve for one of the legs and substitute values, you obtain that the result is:
Answer:
Step-by-step explanation:
GIVEN: Daniel invests in a retirement account with a fixed annual interest rate of
compounded
times per year.
TO FIND: What will the account balance be after years
SOLUTION:
Amount invested by Daniel
Annual interest rate
Total amount generated by compound interest is
Here Principle amount
rate of interest
number of times compounding done in a year
total duration of time
putting values we get
=
Hence the total balance after will be