Georgia will use the pattern shown to make a square pyramid out of cardboard. the square pyramid will not have a bottom. how much cardboard will she need if a = 14 in. and b = 9 in.?

252 square inches

Step-by-step explanation:

Georgia needs 4 triangles, each of which has a base of 9 inches and a height of 14 inches. The area of a triangle is ...

A = (1/2)bh

so one face of Georgia's pyramid will have an area of ...

A = (1/2)(9 in)(14 in) = 63 in^2

Then all four faces will have a total area of ...

(63 in^2) · 4 = 252 in^2

_____

Comment on the pattern

The pattern shown includes the base of the pyramid. The problem text says the base is not included. We have assumed that the base is not included. (For Georgia's pyramid, a different pattern would be more to the point: see attachment.)

answer:   rlly

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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