Do (0,1) and r+ = (0,[infinity]) have the same cardinality? if so, either give an explicit bijection (and prove that it is a bijection) or provide an injection from (0,1) to (0,[infinity]) and an injection from (0,[infinity]) to (0,1) (so that by cantor-bernstein theorem the two sets will have the same cardinality). if not, then prove that they have different cardinalities

The perimeter of a movie screen is 54 meters. the screen is 18 meters wide. how tall is it?

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?

Question 3(multiple choice worth 1 points) use the arc length formula and the given information to find r. s = 16 cm, θ = 48°; r = ? sixty divided by pi cm thirty divided by pi cm one third cm one hundred twenty divided by pi cm