POSSIBLE POINTS : 13.33 If a wall has a diagonal beam holding it in place that is 12ft long and the height of the wall is 8ft and the base of the beam on the floor is 7ft from the wall is the wall perpendicular?

Step-by-step explanation:

If the wall is perpendicular, then that means that this is a right triangle. We can find out if it is by using Pythagorean's Theorem and filling in the values for the sides. If the statement is true, then the triangle is right and the wall is perpendicular to the base.

and filling in:

Let's find out if this is true:

Is this true?

113 = 144

Definitely not true. So this is not a right triangle and the wall is not perpendicular to the floor.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi