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 ?   The problem is I'm not sure what I should be doing to solve this problem. Right now, my answer for question 3 is A=(9/16*h)*h or A=9/16h*h2. If that is correct, then I think I should be fine with the rest of the problem. Otherwise, I don't know what else to do.

Q: 59. Express the area of an equilateral triangle as a function of the length of a side.

A:

Q: 100-

A: part a is answered correctly . part b .

Q: heed to match the araph of Function With the araph of its derivatve s

A: For any given function f(x). Let say f(x) = csc(x) , x = -π,π In the domain, where the f(x) is…

Q: Determine if the following statements are true or false. (a) Express the area and circumference of a…

A: Topic = Mensuration

Q: The height of a right cylinder is 4r, where r is the radius. Write a function f in simplest form…

A:

Q: y a-2x- 15

A: Given function y=x2-2x-15

Q: in a Washington town the charge for commercial ways collection is $694.55 for 5 tons of waist and…

A:

Q: Write the length L of the rectangle as a function of y.

A: The length of the rectangle can be determined by using the fact that one end is always on y axis and…

Q: If a ball is thrown into the air with a velocity of 40 feet per second, its height (in feet) after t…

A: The height function of the ball is given by yt = 40t-16t2 To evaluate: An expression for the…

Q: B. Describe in your own words what a vertical line test is in egards to mathematical functions.

A: In mathematical functions, the vertical line test is a easy way to determine if a curve is a graph…

Q: The height of a right cylinder is 2r , where r is the radius. Write a function f in simplest form…

A: Since, it is given that the height of a right cylinder is 2r.Our Aim is to write a function f in…

Q: 2 3 4/56 7 8 10

A: To determine the period of the given function Period: It is represented as “T”. A period is a…

Q: The volume, V, of a sphere in terms of its radius, r, is given by V(r)=43πr3. Express r as a…

A: Given that the volume, V of a sphere with radius, r is Vr=43πr3. Then, radius can be expressed as a…

Q: Describe the impact the a-value has on the following function: y = 3(x – 1)2 +1 %3D

A:

Q: Find a direct variation model that relates y and x. х%3D 7, у %3D 16

A: Given:- x = 7 and y = 16 Find Direct variation model that relates y and x

Q: he sand is uneven whereby the surface height, in metres, measured fr ottom of the container, is…

A: In the given question, the concept of volume is applied. Volume The volume of Cuboid is given by…

Q: Determine where the function ?(x) = √2x2 − x − 3 is NOT differentiable. (All under square root)

A:

Q: The height of a right cylinder is 3r, where r is the radius. Write a function f in simplest form…

A:

Q: Write the equation for the function graphed below. f (x) = %3D AT

A:

Q: What must be done to a function’s equation so that its graphis reflected about the y-axis? Explain.

A:

Q: Consider the function y = f(x), whose curve is given by the equationx^2 − y^2/5 = 1. C. )It is…

A:

Q: What point on the function y = sqrt(x + 3) is the closest to (2, 0)

A: We have to find closest to the given curve from (2, 0).

Q: Use the form to create a cubic function that (a) passes through the point and rises to the right and…

A:

Q: The value of a car that depreciates over time can be modeled by the function G(t) = 24000(0.95)2".…

A: Writing the equivalent function according to the given conditions.

Q: In our modern era, digital television is a norm, and most homes have HDTVs. HDTVs are usually…

A:

Q: Glo-Tek Industries has designed a new halogen streetlight fixture for the city of Seattle. According…

A: Given that when placed on a 50-foot light pole, the resulting useful illuminated area is a circular…

Q: Differentiate the function.

A: Given:y=1+2e3xDifferentiation formula:ddxeax=eax.a

Q: GUESS one function y(t) which solves the problem below, by determining the general form the function…

A:

Q: The number of bacteria in a lab experiment can be modeled by the function P(t) = 43(3)2t+3, write an…

A:

Q: In our modern era, digital television is a norm, and most homes have HDTVs. HDTVs are usually…

A:

Q: if 0<x<2 2. f(x)= 3. 3 if 25x55 4

A:

Q: Differentiate the function.

A: Given R(a)=3a+12

Q: Q1) If the radius of a circle is 12 cm, what angle in degrees is subtended by an arc of 4 cm ? 02)…

A: As per our guidelines we are supposed to answer only first questionKindly repost other  as the…

Q: Differentiate the function.snip4

A:

Q: Rick's lumberyard has 380 yd of fencing with which to enclose a rectangular area. If the enclosed…

A: Topic - functions and rectangle

Q: At which of the following angles is the secant function undefined? (1) 45 (3) 180 (2) 200 (4) 270"

A: Basics of Trignometry are used.

Q: Suppose you plan to take a 500-mile trip ina car that gets 35 mi&gt;gal. Find the function C = f1p2…

A: Please refer to the image below

Q: Determine whether the equation defines y as a function of x. 22. Зх — 5у %3D7 23. Зх2 -

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4. What is the equation for the function shown here? 2

A:

Q: At which of the following angles is the cotangent function undefined? (1) 90° (3) 180° (2) 120° (4)…

A:

Q: Explain with drawing the effect of increasing of each value of (A,B and C) on graph of…

A: The given function is: y=A+B sin (Cx)

Q: Rick's lumberyard has 240 yd of fencing with which to enclose a rectangular area. If the enclosed…

A:

Q: Express the area A of a circle as a function of its radius, r. Determine the area of a circle whose…

A:

Q: Write a function y =h Ex) and state domain. and ronge. Plecewise definition for y=h Lx) 2.

A:

Q: What is the domain of the function y = 3sin–1(2t)?   Can you explain how to think about the above…

A: The given function,

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A:

Q: In our modern era, digital television is a norm, and most homes have HDTVs. HDTVs are usually…

A:

Q: Supply a valid technology formula for the given function. 20.95x 1 + 20.92x

A: We can use the concept of technology formula in order to solve the given problem.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.