Find the exact solutions of the problem algebraically: tan 2x-cot x=0

A football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards. How many yards do they need to gain on the next play to get back to their original position?

3. If the measure of angle 4 is 6x + 20 and the meas- ure of angle 7 is 10x - 40, what is the measure of angle 6? a. 60° b. 70° c. 110° d. 116° e. 120°

The equation to convert from degrees Celsius to degrees Fahrenheit is F=1.8C+32, whereas a simpler estimate for this conversion is F=2C+30. By solving each of these equations for C, we can convert from degrees Fahrenheit to degrees Celsius.

In 4 rounds of a card game, you get scores - 1, - 4, - 8, and 10. what is your final score?

A box contains 19 balls labeled 1 through 19. two balls are drawn in succession without replacement. if the second ball has a number 4 on it, what is the probability that the first ball had a smaller number on it? An even number on it?

There are 300 students in the eighth grade. The ratio of girls to boys is 3 to 2. What percent of the students are boys?

Jake is building a fence around his property. He wants the perimeter to be no more than 100 feet. He also wants the length to be at least 30 feet longer than the width.

You have $3.70 in dimes and quarters. You have 5 more quarters than dimes. How many of each type of coin do you have?

What is the median and mean of: 7,13,10,7,16

Bryce has a rug that is 14 decimeters by 16 decimeters. Draw a sketch of Bryce's rug. Then find the area of his rug. Show your work and label the answer with the correct units.