A dining canopy has corner posts that are anchored by support lines. The length of each support line is 5 feet longer than the height of the post, and the support line is anchored at a distance that is 5 feet less than twice the height of the post. Determine the height of the corner post

Abanner is made of a square and a semicircle. the square has side lengths of 24 inches. one side of the square is also the diameter of the semicircle. what is the total area of the banner? use 3.14 for π.

If a • b*2 = 1.8 x 10*-7, and c•b/d = 7.2 x 10*-4, find the value of a•d*2/c*2

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.