Dan earns $42.75 per month working as a tutor. he worked as a tutor for 4 monthshe also earned $52.45 walking dogs in the neighborhood. he spent $18.50 of his total earning to buy a movie ticket and candy. dan put 1 over 3 of the remaining money in his savings account dan used the following steps to find the total money he put in his savings account: step 1: [($42.75 ⋅ 4) + $52.45 − $18.50] ⋅ 1 over 3 step 2: [$171 + $52.45 − $18.50] ⋅ 1 over 3 step 3: 241.95 ⋅ 1 over 3 step 4: $80.65 in which step did dan first make an error? use words to explain how dan can correct his error

1. a driveway has a 15° grade. if the driveway is 40 meters long, how much does the driveway rise? (nearest tenth of a meter) 2. a person located 4 miles from a rocket launch site sees a rocket at an angle of elevation of 32°. at that moment, how high is the rocket above the ground? (nearest tenth of a mile) 3.an airplane approaches an airport landing strip with an angle of depression of 12°. if the airplane is flying at an altitude of 20,000 feet, find the distance on the ground that the plane will need to land. (nearest 1,000 feet) 4.two buildings are located on opposite sides of the street, 40 meters apart. the angle of elevation from the top of the shorter building to the top of the taller building is 53°. if the taller building is 300 meters tall, what is the height of the shorter building? (nearest meter) 5.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)

Vinay constructed this spinner based on the population of teachers at his school according to vinays model what is the probability that he will have a male history teacher two years in a row

Sample response: if the graph passes the horizontaline test, then the function is one to one. functions that are one to one have inverses that a therefore, the inverse is a hinction compare your response to the sample response above. what did you include in your explanation? a reference to the horizontal-line test d a statement that the function is one-to-one the conclusion that the inverse is a function done