The peak of the full moon occurs, on average, every 29.53 days, and the approximate value of the moon that is lit can be modeled by a sinusoid. assume that all of the moon is lit at the peak of the full moon and that none of the moon is lit at the apex of the new moon. if the peak of the full moon was at 8 pm on august 24, what decimal value, , of the moon will be lit at midnight on october 12 of the same year?

Chose the graph below that represents the following system of inequality’s

Teams of 4 are competing in a 1/4 mile relay race. each runner must run the same exact distance. what is the distance each teammate runs?

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.