Answer:
15 sides
Step-by-step explanation:
with regular polygons it is best to work with the exterior angles since the sum of exterior angles is 360 degrees
one exterior angle = 180 − one interior angle
∴ one ext. < = 180 − 156
= 24 degrees
no of sides = 360
/24
= 15 s
i
d
e
s
Answer:
<em>35.11 ft</em>
<em></em>
Step-by-step explanation:
This given situation can be thought of as triangle
where PQ is the length of pole.
PR is the length of rope.
and QR is the distance of bottom of pole to the point of fastening of rope to the ground.
And 
Given that:
PQ = 44 ft
PR = 51 ft

To find:
Side QR = ?
Solution:
We can apply Sine Rule here to find the unknown side.
Sine Rule:

Where
a is the side opposite to 
b is the side opposite to 
c is the side opposite to 

Now,

Let us use the Sine rule again:

So, the answer is <em>35.11 ft</em>.
The answer is of the figure is 24
The square box is enough to fit the pizza with a diameter of 10 inches inside. Since the area of the square box is more than the area of the pizza, the pizza fits easily in the square box.
<h3>What is the area of the circle and the square?</h3>
The area of the circle is
Ac = πr² = πd²/4 sq. units
Where r is the radius and d is the diameter of the circle.
The area of the square is given by
As = s² sq. units
Where s is the length of the side of a square.
<h3>Calculation:</h3>
It is given that a pizza(in a circular shape) with a diameter d = 10 in is to be placed in a square box of the same length as the diameter of the pizza.
So,
The area of pizza is
Ap = Ac = πd²/4 sq. units
= π(10)²/4
= 25π
= 78.54 sq. in
Then, the area of the square box with the length same as the diameter of the pizza is,
As = d²
= 10²
= 100 sq. in
Since the area of the square is more than the area of the pizza (100 sq. inch > 78.54 sq. inch), the pizza easily fits into the square box.
Learn more about the area of a circle here:
brainly.com/question/15673093
#SPJ1