Solve the problem.A building 280 feet tall casts a 90 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person’s eyes are level with the top of the building.)

Simplify the expression.             – – 9 – ( – 2 ) – ( – 12 )

Convert the improper fraction to a mixed number. Your work and answer must be in fraction form.                              35 9

Perform the division. If​ possible, reduce the answer to its lowest terms. Your work and answer must be in fraction form.    5 3 7 ÷ 1 4

Solve the equation.275x + 2 = 92x

Determine whether the given number is a solution of the equation. 12 ( x – 9 ) = 15 ( x + 13 ) + 2                     w h e r e   x = 27

The mathematical model, T = 0.21n + 2.66, approximates the average price of a movie ticket for selected years from 1980 through 2010. T is the average movie ticket price and n is the number of years after 1980. According to the​ model, what is the average ticket price in the year 1990?

Evaluate the given expression for x = -4 and y = 6. 6 x + 2 y + 2 2 x + 3

Perform the subtraction. If​ possible, reduce the answer to its lowest terms. Your work and answer must be in fraction form.    4 5 9 – 1 1 6

Solve the problem.The population of a town is increasing by 500 inhabitants each year. If its population at the beginning of 1990 was 27,021, what was its population at the beginning of 1997?