Answer:
55 sq inches
Step-by-step explanation:
The product is the answer of a multiplication problem so its 9×10 which equals 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
Answer:
6 x 4 = 24, 24 divided by 2 = 12(area of 1 triangle)
12 x 2(two triangles) = 24
5 x 6 = 30(area of 1 slanted rectangle)
30 x 2(two rectangles) = 60
6 x 6 = 36(area of bottom square)
Add all given AREAS:
24 + 60 + 60 = 144 mm2 is your answer.
The slope of line passing through the points (4, 4) and (10, 7) is
<em><u>Solution:</u></em>
Given that, we have to find the slope of line that passes through the points (4, 4) and (10, 7)
The slope of line passing through and is given as:
Given two points are (4, 4) and (10, 7)
Substituting the values in formula, we get
Reducing to lowest terms, we get
Thus slope of line passing through given points is