Kate just bought a tv that measures 42 inches diagonally, and is 18 inches tall. She wants to place the tv into a 40 inch wide cabinet. Will

Question

Kate just bought a tv that measures 42 inches diagonally, and is 18 inches tall. She wants to place the tv into a 40 inch wide cabinet. Will the tv fit and if so, how much room will be left (width) in the cabinet after the tv is placed?

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Thanh Thu 5 years 2021-08-03T06:00:28+00:00 1 Answers 27 views 0

Answers ( )

  1. thnahdat
    0
    2021-08-03T06:02:17+00:00
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    9514 1404 393

    Answer:

      yes, about 2.05 inches

    Step-by-step explanation:

    The Pythagorean theorem can be used to find the width of the TV.

      w^2 +h^2 = d^2

      w = √(d^2 -h^2)

      w = √(42^2 -18^2) = √1440 = 12√10

      w ≈ 37.95 . . . inches

    This dimension is less than 40 inches by a margin of …

      40 -37.95 = 2.05 . . . inches

    The TV will fit, with 2.05 inches of space remaining.

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