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)

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25-11-2016
Mathematics

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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)

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Аноним Аноним · Answer 1 · 2016-11-27T11:52:55+01:00

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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