Answer:
6 sides
Step-by-step explanation:
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?
Let us represent:
Sum of Exterior angle as x
Sum of Interior angle as y
Note that:
The sum of the exterior angles of a polygon = 180 - The sum of the interior angles
Hence,
The sum of the exterior angles of a polygon + The sum of the interior angles = 180
x + y = 180
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles.
2x = y
Substituting
x + 2x = 180°
3x = 180°
x = 180/3
x = 60°
Solving for y
2x = y
2 × 60° = y
120° = y
Hence,
Sum of Exterior angle as x = 60°
Sum of Interior angle as y = 120°
The number of sides of a polygon is
360°÷ Sum of Exterior angles
= 360° ÷ 60
= 6 sides
Answer: 45$
Step-by-step explanation:
Given
Principal 
Rate 
time 
Simple interest is given by

In the question, time is taken in months which is incorrect
Putting values

Since he only makes commission on sales over $1000, he makes commission on $1500 (we find this by doing 2500-1000.) His commission is 15%, so find 15% of $1500:

So we know how makes $225 in commission.
Now we need to add this to his fixed pay to get his total pay:

So his total pay is $525, which is answer 'a'
Hope I helped, and let me know if you have any questions :)
Answer:
10.92
Step-by-step explanation:
-----------------------
The area of sector is 1.57 m²
<u>Explanation:</u>
Given:
Radius, r = 3 m
Central angle of a sector = 1/9π radians
Area of sector, A = ?
We know:
Area of sector, A = 
where,
α is the central angle in radians
On substituting the value we get:

Therefore, the area of sector is 1.57 m²