not that many questions 2 attachments, 2 assignments. show all work for both. finish both attached files. Please do on a word document not paper. thanks

Names: _________________________

_________________________

Quiz 11 (5.2 & 5.4)

Answer each question to the best of your ability. Show ALL of your WORK for each problem. You may earn

partial credit on each problem/problem part. Any mysterious or unsupported answers will receive NO

credit. Good luck!

3

1) a. Sketch a right triangle that has acute angle 𝜃, with tan 𝜃 = 7.

b. Find the exact values of the other five trigonometric ratios of 𝜃. Rationalize denominators.

2) Use your calculator to find the angle theta in degrees rounded to one

decimal place.

3) A 12-ft ladder leans against a large house. If the base of the ladder is 5 ft from the base of the house, what

is the angle formed by the ladder and the house? What is the angle formed by the ladder and the ground?

Names: _________________________

_________________________

Quiz 10 (10.1, 10.2 & 11.1)

Answer each question to the best of your ability. Show ALL of your WORK for each problem. You may earn

partial credit on each problem/problem part. Any mysterious or unsupported answers will receive NO

credit. Good luck!

1. You and some friends buy a total of 9 snacks at the concessions stand at a Twins game. Hot dogs cost $4.25

each, and soda pop costs $5.00 each. You spend a total of $40.50 on the snacks. Let ℎ represent the number

of hot dogs you bought and 𝑝 represent the number of soda pops you bought.

(a) Write a system of linear equations to represent the situation. (There should be two equations.)

(b) Solve your system using any method to find the number of hot dogs you bought and the number of soda

pops you bought.

2. Solve the system of linear equations by using either the Substitution or Elimination Method.

2𝑥

+ 𝑧 = 13

{ 2𝑥 + 2𝑦 + 𝑧 = 9

−𝑥 − 𝑦 + 3𝑧 = 6

3. Show that the system of linear equations has infinitely many solutions. Express your answer in terms of 𝑡,

where 𝑥 = 𝑥(𝑡), 𝑦 = 𝑦(𝑡) and 𝑧 = 𝑡.

𝑥 + 3𝑦 − 2𝑧 = 0

+ 4𝑧 = 8

{2𝑥

4𝑥 + 6𝑦

=8