Using the volume of a sphere, the total volume of air inside six of Jake's basketballs is of 2140.8 cubic inches.
<h3>What is the volume of a sphere?</h3>
The volume of a sphere of radius r is given as follows:
From the problem, since the properly inflated basketball measures 8.8 inches across, the diameter is of 8.8 inches, hence the radius is:
r = 8.8/2 = 4.4 inches.
Then the volume in cubic inches of a single ball is:
V = 4 x pi x (4.4)³/3 = 2140.8 cubic inches.
For the six balls:
6 x 356.8 = 2140.8 cubic inches.
More can be learned about the volume of a sphere at brainly.com/question/25608353
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The perimeter = 4 * length of a semicircle of radius 5 == 4* pi * 5 = 20 pi cm
The area of one of the clear parts = 1/2 area of square - area semicircle
= 1/2 * 10^2 - 1/2 pi *5^2 = 50 - 12.5pi
So area of shaded parts = area of square - 4 (50 - 12.5pi)
= 100 - 200 + 100pi = (100pi - 100) cm^2
For this case we find the slopes of each of the lines:
The g line passes through the following points:
So, the slope is:
Line h passes through the following points:
So, the slope is:
By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.
It is observed that lines g and h are not parallel. We verify if they are perpendicular:
Thus, the lines are perpendicular.
Answer:
The lines are perpendicular.
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