In the month of March, the temperature at the South Pole varies over the day in a periodic way that can be modeled approximately by a trigonometric function. The highest temperature is about -50 ∘ C and it is reached around 2 p. m. The lowest temperature is about −54 ∘ C and it is reached half a day apart from the highest temperature, at 2 a. m. Find the formula of the trigonometric function that models the temperature T in the South Pole in March t hours after midnight. Define the function using radians. What is the temperature at 5 p. m? Round your answer, if necessary, to two decimal places.

George is 187 cm tall. his son, ralph, is 142 cm tall. who casts the longer shadow. george when the sun is 65° above the horizon, or ralph when the sun is 56° above the horizon? how much longer? (nearest centimeter)

Write a function rule for the table. hours worked pay 2 $16.00 4 $32.00 6 $48.00 8 $64.00 p = 16h p = 8.00h p = h + 16 h = 8.00p

Barbara has a good credit history and is able to purchase a car with a low-interest car loan. she co-signs a car loan for her friend jen, who has poor credit history. then, jen defaults on the loan. who will be held legally responsible by the finance company and why? select the best answer from the choices provided. a. barbara will be held legally responsible because she has a good credit history. b. jen will be held legally responsible because she drives the car. c. barbara will be held legally responsible because she is the co-signer. d. jen will be held legally responsible because she has a poor credit history. the answer is a