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19. The size of a computer monitor is given by the length of the diagonal of the screen. The ratio of the height to the width of wide-screen monitors is 9:16. Find expressions for the width and height of a wide-screen monitor in terms of the length of its diagonal. (1 point)

Answer :

 h:w = 9:16 
h = 9/16 w 
w = 16/9 h 

h² + w² = d² 

h² + (16/9 h)² = d² 
h² + 256/81 h² = d² 
337/81 h² = d² 
h² = 81/337 d² 
h = 9/√337 d 

h² + w² = d² 
(9/16 w)² + w² = d² 
81/256 w² + w² = d² 
337/256 w² = d² 
w² = 256/337 d² 
w = 16/√337 d

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