A town is doing an inspection on five different buildings to see if they exceed the maximum height of 90 feet. The five buildings share something similar: they have a number of offices and residential floors, which are each 13 and 11 feet tall, respectively. After the inspection, two buildings are found to be taller than the limit. Which buildings exceed the maximum height? Select the two correct answers 1. Building A: 7 office floors
2. Building B: 4 office floors and 3 residential floors
3. Building C: 3 office floors and 5 residential floors
4. Building D: 1 office floor and 7 residential floors
5. Building E: 5 office floors and 2 residential floors

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?

Which value of y will make the inequality y< -1 false?

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?