A great circle is a section of a sphere that passes through its center. If the earth were a sphere, a great circle would be the equator and its axis would be the line connecting the geographic north and south pole. The length of the axis is then equal to the diameter of the sphere. For this problem, the radius of the sphere is 12 inches. A section is formed by slicing through the sphere and all sections of a sphere are circles. Considering the plane to be cut above and parallel with the equator (which is a great circle), the distance of the plane from the center of the sphere would then be the distance between the centers of the sphere and section. It is also given that the radius of the section is 9 inches. A right triangle is formed by connecting the center of the sphere, an edge of the section, and back to the center of the sphere whose hypotenuse is 12 inches (radius of the sphere), one leg is the 9 inches (radius of the section), and another leg is the distance of the plane from the sphere's center. Thus, the distance can be calculated using the Pythagorean theorem, d = sqrt(12^2 - 9^2) = sqrt(144 - 81) = sqrt(63) = 3*sqrt(7).
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Answer:
a) 1680
<em>The number of ways to listen to four CDs from a selection of 8 CDs = 1680</em>
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given data the number of CD' s n = 8
<em>We have to selected '4' CD' s from total '8' CD's</em>
<em>By using permutations </em>
<em>The number of ways to listen to four CDs from a selection of 8 CDs.</em>
<em> = </em>
<em> </em>
<em> we know that </em>
<em>The number of ways to listen to four CDs from a selection of 8 CDs = 1680</em>
I think it should be B but I’m probably wrong so risk it if you want sorry
Answer:
A
Step-by-step explanation:
10 and 8 are equal
11 and 15 are equal
due to the fact that the angles 10 and 11 but also 8 and 15 are supplementary, we know that they add up to be 180 degrees
180-42=138 degrees
and this means that angle 8 will also be 138 because of what we established earlier
First:The area of a circle is πr squared. Not r2
Second. The area of the circle HAS to be irrational because π is an irrational number. The answer would be, if solved for a circle with the radius of 0.75, the area would be 0.5625π, which is irrational.
