Application Activity: Flat Screen TV   In our modern era, digital television is a norm, and most homes have HDTVs. HDTVs are usually rectangular in shape and have a standard aspect ratio of 16:9. Please respond to the following questions. (See rubric below.)     3. Derive a formula for the area of the screen of an HDTV as a function of only the height of the screen. 4. Derive a formula for the diagonal of the screen as a function of the height of the screen. 5. Derive a formula for the diagonal of the screen as a function of the area of the screen. 6. Illustrate with a graph the relationship between the diagonal and the area of the screen. Please make sure your graph is appropriately labeled. 7. What is the diagonal if the area is 2,823 ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 18E
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Application Activity: Flat Screen TV

 

In our modern era, digital television is a norm, and most homes have HDTVs. HDTVs are usually rectangular in shape and have a standard aspect ratio of 16:9. Please respond to the following questions. (See rubric below.)

 

 
3. Derive a formula for the area of the screen of an HDTV as a function of only the height of the screen.
4. Derive a formula for the diagonal of the screen as a function of the height of the screen.
5. Derive a formula for the diagonal of the screen as a function of the area of the screen.
6. Illustrate with a graph the relationship between the diagonal and the area of the screen. Please make sure your graph is appropriately labeled.
7. What is the diagonal if the area is 2,823 ?
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