A pole is leaning 7 degrees towards the direction of its shadow. If the shadow is 20 feet long and a line from the end of the shadow to the top of the pole forms an angle of 40 degrees with the ground. What is the length of pole L?

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?

For the equations below which statement is true ? -2x=14 6x=-42

What is not true about kl and mn? what is mn? (show your work)