Cade and Tyce both tried to find the missing side of the right triangle. A right triangle is shown. The legs are labeled 6 and 9. A right angle is labeled in between them. Cade's Work Tyce's Work a2 + b2 = c2 a2 + b2 = c2 62 + b2 = 92 62 + 92 = c2 36 + b2 = 81 36 + 81 = c2 b2 = 45 117 = c2 Square root b squared equals square root 45. Square root 117 equals c squared. b ≈ 6.71 10.82 ≈ c Is either of them correct? Explain your reasoning.

The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. if a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. what is the margin of error of the sample mean? a. 0.086% b. 0.533% c. 1.11% d. 2.22%

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d. what is the height of the tide after 93 hours?