Express the complex number in trigonometric form. 5 - 5i (5 points) five square root two times the quantity cosine of five pi divided by four plus i times sine of five pi divided by four five square root two times the quantity cosine of seven pi divided by four plus i times sine of seven pi divided by four five times the quantity cosine of five pi divided by four plus i times sine of five pi divided by four five times the quantity cosine of seven pi divided by four plus i times sine of seven pi divided by four

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 of the following is equal to the square root of the cube root of 5 ? (1 point) 5 to the power of 1 over 3 5 to the power of 1 over 6 5 to the power of 2 over 3 5 to the power of 3 over 2

Asix-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. in the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times. the experimental probability of rolling a 3 is 10 %, which is approximately % more than its theoretical probability. (round off your answers to the nearest integer.)