Mathematics: What are the dimensions (width and height) of a 40 inch television that has a aspect ratio of 9-4

What are the dimensions (width and height) of a

ajajjsisi9x8

18.01.2022

The height of the television is $36.56\ in$

The width of the television is $16.25\ in$

Step-by-step explanation:

Let

x-----> the height of a television

y----> the width of a television

we know that

$\frac{x}{y}=\frac{9}{4}$

$x=\frac{9}{4}y$ -----> equation A

Applying the Pythagoras Theorem

$40^{2}=x^{2}+y^{2}$ -----> equation B

substitute equation A in equation B

$40^{2}=(\frac{9}{4}y)^{2}+y^{2}$

$1,600=\frac{81}{16}y^{2}+y^{2}$

$1,600=\frac{97}{16}y^{2}$

$y^{2}=1,600*16/97$

$y=16.25\ in$

$x=\frac{9}{4}(16.25)=36.56\ in$

0,0(0 оценок)