# Algebra mid exam – 20 questions

Simplify the trigonometric expression. Show your work.

1.

2. In , is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth. Show your work.

a = 3, c = 19

3. Please show your work to find the mean and standard deviation of the data. Round to the nearest tenth.

20, 16, 18, 14, 9, 20, 16

4. What are the points of discontinuity? Are they all removable? Please show your work.

5. A sound wave is modeled with the equation .

a. Find the period. Explain your method.

b. Find the amplitude. Explain your method.

c. What is the equation of the midline? What does it represent?

6. Paula spots a glider located at an angle of elevation of 42°. The distance between the glider and Paula is 3280 feet. To the nearest foot, what is the height of the glider h from the ground? Show your work.

7. What is the product in simplest form? State any restrictions on the variable. Please show your work.

8.

9.  Is there any bias in the survey question? Explain.

What do think would help students pay more attention in class?

10.  Find the values of the 30th and 90th percentiles of the data. Please show your work.

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

11. What is the quotient in simplified form? State any restrictions on the variable. Show Work.

12. Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 36 feet long. The function models the height of the triangular garden.

a. What is the height of the triangle when

b. What is the height of the triangle when

c. Vance is considering using either or for his garden. Compare the areas of the two possible gardens. Explain how you found the areas.

13. Verify the identity.

14.  Compare the graphs of the inverse variations. Please provide at least 3 comparisons

and

15.  Use a graphing calculator to solve the equation in the interval from . Round to the nearest hundredth.

16. The equation models the height h in centimeters after t seconds of a weight attached to the end of a spring that has been stretched and then released.

1. Solve the      equation for t.

b. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round your answers to the nearest hundredth.

c. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time. Round your answers to the nearest hundredth.

17.

Consider the graph of the cosine function shown below.

a. Find the period and amplitude of the cosine function.

b. At what values of for do the maximum value(s), minimum values(s), and zeros occur?

18.

Use the graph of the sine function shown below.

a. How many cycles occur in the graph?
b. Find the period of the graph.
c. Find the amplitude of the graph.

19. Verify the Pythagorean Identity.

20.

Howard is flying a kite and wants to find its angle of elevation. The string on the kite is 32 meters long and the kite is level with the top of a building that he knows is 28 meters high.

To the nearest tenth of a degree, find the angle of elevation. Show your work.

Pages (550 words)
Approximate price: -

Why Choose Us

Quality Papers

We value our clients. For this reason, we ensure that each paper is written carefully as per the instructions provided by the client. Our editing team also checks all the papers to ensure that they have been completed as per the expectations.

Over the years, our Acme Homework has managed to secure the most qualified, reliable and experienced team of writers. The company has also ensured continued training and development of the team members to ensure that it keep up with the rising Academic Trends.

Affordable Prices

Our prices are fairly priced in such a way that ensures affordability. Additionally, you can get a free price quotation by clicking on the "Place Order" button.

On-Time delivery

We pay strict attention on deadlines. For this reason, we ensure that all papers are submitted earlier, even before the deadline indicated by the customer. For this reason, the client can go through the work and review everything.

100% Originality

At Essay USA, all papers are plagiarism-free as they are written from scratch. We have taken strict measures to ensure that there is no similarity on all papers and that citations are included as per the standards set.

Our support team is readily available to provide any guidance/help on our platform at any time of the day/night. Feel free to contact us via the Chat window or support email: support@acmehomework.com.

Try it now!

## Calculate the price of your order

We'll send you the first draft for approval by at
Total price:
\$0.00

How it works?

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Our Services

Essay USA has stood as the world’s leading custom essay writing services providers. Once you enter all the details in the order form under the place order button, the rest is up to us.

## Essay Writing Services

At Essay USA, we prioritize on all aspects that bring about a good grade such as impeccable grammar, proper structure, zero-plagiarism and conformance to guidelines. Our experienced team of writers will help you completed your essays and other assignments.

Be assured that you’ll definitely get accepted to the Master’s level program at any university once you enter all the details in the order form. We won’t leave you here; we will also help you secure a good position in your aspired workplace by creating an outstanding resume or portfolio once you place an order.

Our skilled editing and writing team will help you restructure you paper, paraphrase, correct grammar and replace plagiarized sections on your paper just on time. The service is geared toward eliminating any mistakes and rather enhancing better quality.

Technical papers

We have writers in almost all fields including the most technical fields. You don’t have to worry about the complexity of your paper. Simply enter as much details as possible in the place order section.