When we buy an electronic item like T.V or Blue Ray aspect ratio is the term which is used by the salesmen or technicians. Aspect ratio is actually the ratio of length and breadth of the screen of a device or ration of width and height.

In this question aspect ratio of television is given as 16:9

This can be written as $\frac{W}{H}=\frac{16}{9}$ or $W=\frac{16}{9} H$

Screen of the T.V. is 65 inch which is the diagonal length of the screen.

We know from pythagoras theorem in a right angle triangle

$(diagonal)^{2}=(base)^2+(height)^2$

$(65)^2=(Base)^2+(height)^2$

$(65)^2= W^2+H^2 = (\frac{16}{9}H)^2+H^2$

$(65)= \sqrt{\frac{16}{9}H^2+H^2}\\ 65=H\sqrt{\frac{16}{9}+1}\\ 65=H\sqrt{\frac{25}{9}}\\ 65=\frac{5}{3}H\\ H=39 inches$

Now height of the T.V.will be

$\frac{W}{H}=\frac{16}{9} \\\\\frac{H}{W}=\frac{9}{16}\\ H=\frac{9}{16}W = (\frac{9}{16})39= 21.94 Inches$

now area of the T.V.=W×H=39×21.94=855.66 square inch

8 0

3 years ago

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You earned 90% on a science quiz. You answered 27 questions correctly. How many questions were on the test?

Scilla [17]

Answer:

There were 30 questions on the test.

Step-by-step explanation:

1. Set up your equation: 27/90 = y/100

2. Next you want to cross multiply: 2700 = 90y or 270 = 9y

3. Divide 270 by 9 to find your y: y = 30

There were 30 questions on the test.

7 0

3 years ago

Simplify4x^3 • (x-2)/2(step by step please)​

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