A regular hexagon has sides 18 mm long and an apothem with the length of 9√3 mm. If the area of the regular hexagon is a√3 mm², what is the value of a?

A3x4x5 rectangular cuboid (e.g. a brick) is painted blue and cut into 1x1 cubes. what is the expected value for the painted sides of a randomly selected cube?

Simplify.7x + 3y - 2 + 6x + 1 + y squared 2 you! ; )

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.