The the geometrics decide to play a concert in the gym. the gym measures 100 feet long by 60 feet wide by 30 feet tall. the band asks the stage crew how loud they can play in the gym. after some experimenting, the stage crew calculates that the band can turn up the amplifier volume one notch for every 18,000 ft.³. so how loud can the geometrics have their amplifiers in this room?

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: