Create a real life problem using 27×30. solve it and explain how to use place value and associative property to solve it.

Point $(x,y)$ is randomly picked from the rectangular region with vertices at $(0,,,2010),$ and $(0,2010)$. what is the probability that $x > 7y$? express your answer as a common fraction.

20 points! asap! a is known to be 6,500 feet above sea level; ab = 600 feet. the angle at a looking up at p is 20°. the angle at b looking up at p is 35°. how far above sea level is the peak p? find the height of the mountain peak to the nearest foot. height above sea level =

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.