Hello, I need help with finding the answer to this problem Suppose sin (theta) =5/13 and pi/2 is less than or equal to theta, which is less than or equal to pi, identify the values of x, y, and r. Show work for finding the missing value, find the value of cos(theta), find the value of tan(theta)

- I believe that y=5, since sin is (y/r), r= 13, and then using Pythagorean theorem x=12, and from there I can use the equation cos(x/r) to find cos, and then tan(y/x) to find tan

- The part I’m confused about is (since I got this wrong and the teacher didn’t give the solution, but did give us hints, and I want to understand how to solve it) is that x should be a negative value, so I don’t quite know how to progress, as I don’t understand what mistake I made. Thank you for your time

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution