Ambria received flowers for Valentine's Day that were in a vase shaped like a rectangular prism. If the vase measured 12 inches long, 6 inches wide, and 10 inches high and was filled with water 4 inches from the top, what is the volume of the water that will be in the vase?

Step-by-step explanation:

Given

The dimension of a rectangular prism is

Water is filled from the top i.e. high

base area for the water is the same i.e.  

The volume of rectangular prism is

The volume of water in the vase is given by

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

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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