An engineering team is building a parabolic tunnel through the side of a mountain to construct a road. The road must be two lanes, one in each direction. Each lane should be 12 ft wide. There should also be a 4 ft
shoulder between the tunnel wall and the end of each lane on each side of the road. A semi-trailer is 9 ft wide,
14 ft tall, and 53 ft long. To facilitate trade, the road must allow a semi-tractor trailer to pass through it. For the
questions below, justify your answer using variables, graphs, and equations, as well as a written explanation
that includes all relevant key terms from the word bank.

What is the volume of a cone with a height of 6 cm in the radius of 2 cm

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

The track team ran a mile and a quarter during their practice how many kilometers did her team runs?