The united states postal service will not accept rectangular packages. If the perimeter of one end of the package plus the length of the package is greater than 90in. Consider a rectangular package with square ends as shown in the figure a)complete the chart above for the volume of the rectangular package with the various widths
b)write down the function for the volume v(w)
c)draw a graph to represent the volumes of the package
d)find domain of the width of the package
e) find the width that gives the greatest volumes and the maximum volume of the package

In need of in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

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.

Which strategy is used by public health to reduce the incidence of food poisoning?