The average monthly precipitation P (in inches) for a certain city can be modeled by P = 1.81 sin(0.55t - 2.22) +2.78, 0 st≤ 12, where t is the time (in months), with t = 1 corresponding to January. Find the total annual precipitation, in inches, for the city. (Round your answer to three decimal places.) in

The number of daylight hours in a northem city varies from approximately 4.4 hours on December 21 to 19.9 hours on June 11. The sine function below can be used to approximate the number of daylight hours, y, in the city for day % y=7.8506 sin (0.0165x-1.3066) + 12.1811 a) Approximate the number of daylight hours in the city for April 5 (x= 95), for August 18 (x= 230), and for November 29 (x 333). b) Determine on which days of the year there will be about 12 hours of daylight. a) The number of daylight hours on April 5 is 14.2 hours. The number of daylight hours on August 18 is 17 hours. The number of daylight hours on November 29 is 5.4 hours. (Round to the nearest tenth as needed.) b) There will be about 12 hours of daylight when x = (Round to the nearest whole number as needed. Use a comma to separate answers as needed.)

200=m(9.8) sin 30

Find tan(-x) if cot (π/2 -x)=-1.84

Differentiate. y = 10 tanπ θ

Pls help ASAP