Using the formula for sum of polygon interior angles, what would be the sum of the interior angles of an octagon?
135 °
1080 °
1440 °
The formula for the sum of the interior angles of a polygon is given by (n-2) * 180, where n is the number of sides of the polygon.
In the case of an octagon (a polygon with 8 sides), the formula would be (8-2) * 180 = 6 * 180 = 1080 °.
Therefore, the sum of the interior angles of an octagon is 1080 °.
Find each missing length to the nearest tenth.
Height = 5
Base = 2
5.4
5.3
5
To find the missing length in a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the height and base of the triangle are given, and we need to find the hypotenuse.
Using the Pythagorean theorem, we have:
hypotenuse^2 = height^2 + base^2
hypotenuse^2 = 5^2 + 2^2
= 25 + 4
= 29
Taking the square root of both sides, we have:
hypotenuse = √29
To find the length to the nearest tenth, we can calculate √29:
√29 ≈ 5.4
Therefore, the missing length, the hypotenuse, is approximately 5.4.
Use the distance formula to find the distance to the nearest tenth between the following points. ( 6, 2) and (4, 1). *
5
2.3
2.2
The distance formula can be used to find the distance between two points in a coordinate plane. The formula is:
√((x2 - x1)^2 + (y2 - y1)^2)
Given the points (6, 2) and (4, 1), we can substitute the values into the formula and calculate the distance:
√((4 - 6)^2 + (1 - 2)^2)
√((-2)^2 + (-1)^2)
√(4 + 1)
√5
The square root of 5 is approximately 2.236 or 2.2 to the nearest tenth.
Therefore, the distance to the nearest tenth between the points (6, 2) and (4, 1) is approximately 2.2.