Put your problem solving skills and geometry knowledge to use. Look at the picture. How far apart are the people next to each other and in front/ behind each other? If rounding is necessary, round to the nearest hundredth and fully explain how you found your answer. You can show a picture of your work and answer or type it out.

(Can't show picture but imagine four people in four corners of a square that are 6ft apart diagonally)

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Two corresponding sides of two similar triangles are 3cm and 5cm. the area of the first triangle is 12cm^2. what is the area of the second triangle?

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible