If the sum of the measures of the interior angles of a n-sided polygon is 1,0800, then set up a mathematical model to find the number of sides of the polygon.
180(n-2) = 10800
A brick has a length of 22 cm and a width of 17 cm. If the volume of the brick is 3,740 cm3, then find the height of the brick
To set up a mathematical model to find the number of sides of the polygon, we can use the formula for the sum of the interior angles of a polygon:
Sum of interior angles = (n - 2) * 180
Where n is the number of sides of the polygon.
We are given that the sum of the measures of the interior angles is 1,0800, so we can set up the equation:
1,0800 = (n - 2) * 180
To solve for n, we can rearrange the equation:
(n - 2) * 180 = 1,0800
Divide both sides by 180:
(n - 2) = 1,0800 / 180
Simplify the right side:
(n - 2) = 6
Add 2 to both sides:
n = 6 + 2
Simplify:
n = 8
Therefore, the number of sides of the polygon is 8.