April has a small business during the winter months making hats and scarves. A hat requires 2 hours on machine A, 4 hours on machine B, and 2 hours on machine C. A scarf requires 3 hours on machine A, 3 hours on machine B, and 1 hour on machine C. Machine A is available 36 hours per week, machine B is available for 42 hours, and machine C is available 20 hours per week. The profit on a hat is $7.00 and the profit on a scarf is $4.00. Vertices of the feasible region:

Optimization equation: Profit = x + y
Alice’s maximum profit is $per week. She should make hats and scarves each week.

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.

Find the difference in area between the circle and the triangle. click on the answer until the correct answer is showing. possible answers: a = 4 pi - 8a = 9 pi - 9/2 √3a = 16/3 pia = 16a = 27 pi

I'm confused on how to solve the triangle. can someone me ?