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The aspect ratio (the ratio of screen width to
height) of a rectangular flat-screen television is
16:9. The length of the diagonal of the screen
the television's screen 12c. Determine and wate. to
the nearest inch, the screen size (diagonal) of this
Mat-screen television
with a screen height of 20.6
inches

Sagot :

MrRoyal

Answer:

[tex]Width = 36in[/tex]

[tex]Size = 42.02[/tex]

Step-by-step explanation:

Given

[tex]x \to width[/tex]

[tex]y \to height[/tex]

[tex]x : y = 16 : 9[/tex]

Required

The size of [tex]screen[/tex] of height [tex]20,6in[/tex]

First, we calculate the width using the following equivalent ratios

[tex]16: 9 = x : 20.6[/tex]

Express as fraction

[tex]\frac{16}{ 9} = \frac{x }{ 20.6}[/tex]

Solve for x

[tex]x = 20.6 * \frac{16}{ 9}[/tex]

[tex]x = 36.62[/tex]

Hence:

[tex]Width = 36in[/tex] --- approximated

So, we have:

[tex]x = 36.62[/tex]

[tex]y =20.6[/tex]

The size (diagonal) is then calculated using:

[tex]Size = \sqrt{x^2 + y^2[/tex]

[tex]Size = \sqrt{36.62^2 + 20.6^2[/tex]

[tex]Size = \sqrt{1765.3844[/tex]

[tex]Size = 42.02[/tex]

[tex]Size =42in[/tex] --- approximated

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