Find the exact value of cosine left parenthesis alpha minus beta right parenthesis, given that sine alpha equals startfraction 35 over 37 endfraction and cosine beta equals five thirteenths , with alpha in quadrant ii and beta in quadrant iv.

When they are both racing on hoverboards, victoria is 3 times as fast as her brother max. when she is on foot, she is 3 times slower than max on his hoverboard. they took off on hoverboards at the same time, but after 12 minutes, victoria’s hoverboard broke and she immediately started to run. if the race was a tie, how long, in minutes, did it last from start to finish?

Sh what is the value of x? ox= 2.25 x = 11.25 ox= x = 22 1 (2x + 10) seo - (6x + 1) -- nie

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?