(05.02)An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create the kite.

38 square inches
66.5 square inches
114 square inches
180.5 square inches

Option D : is the area of the kite.

Explanation:

The formula to find the area of the kite is given by

where and are the diagonals of the kite.

From the figure, we can determine the lengths of the diagonals and

The length of the diagonal is

The length of the diagonal is

Thus, the lengths of the diagonals and are and respectively.

Substituting these values in the formula , we get,

Thus, the area of the kite is

Hence, Option D is the correct answer.

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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