Answer:
Angle OAB = 90°
Reason: tangent theorem of a circle
Step-by-step explanation:
The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.
The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.
Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.
Therefore, angle OAB = 90°
Answer:
a. 8
b. 12(n -2)
c. 6(n -2)^2
d. (n -2)^3
Step-by-step explanation:
A cube has 8 vertices (corners), 12 edges, and 6 faces.
a. Three faces will be painted on each of the 8 corner cubes.
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b. Two faces will be painted on the edge cubes that are not corner cubes. For an n-inch edge, n-2 inches of it are not part of the corner cubes. Two faces will be painted on 12(n -2) edge cubes.
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c. One face will be painted on each face cube that is not part of an edge or a corner. For a face of dimensions n inches square, the cubes of interest comprise a square that is n-2 inches on a side. There are 6 such faces of the larger cube. One face will be painted on 6(n -2)^2 face cubes.
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d. The cubes internal to the larger cube that are not part of any face, edge, or corner make up a cube that is (n -2)^3 smaller cubes. This is the number with no paint.
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e. Of course the total number of cubes with or without paint is n^3. This is the sum of the cubes in each category:
(((n -2) +6)(n -2) +12)(n -2) +8 = ((n +4)(n -2) +12)(n -2) +8
= (n^2 +2n +4)(n -2) +8
= n^3 +2n^2 -2n^2 +4n -4n -8 +8
= n^3
Well You Know Me I Know The Answer Because I Came From The Hood So Its D Cuhh
-45, since 73-28=45 (then you reinforce your negative no.)