Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A
so
That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so
The perimeter of the hexagon is given by the formula
substitute
Answer:
Step-by-step explanation:
500=350(1+0.04/12)^12x
Solve for x
500/350=(1+0.04/12)^12x
X=(Log(500/350)/log(1+0.04/12))/12
X=9 months
Hey there!
6(3.14)^6
= 6(3.14^6)
= 6(3.14 * 3.14 * 3.14 * 3.14 * 3.14 * 3.14)
= 6(9.8596 * 9.8596 * 9.8596)
= 6(97.21171216 * 9.8596)
= 6(5,750.811583)
≈ 5750.81158328
Therefore, the answer should be:
5,750.81158328
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
153.94 is the area
Step-by-step explanation:
If the radius is 7p sqrt of 7p and you have your answer
The area of a circle is pi times the radius squared (A = π r²)