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denis23 [38]
3 years ago
8

Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.

Mathematics
2 answers:
Fed [463]3 years ago
6 0

Answer:

No, the tv is 32 inches wide.

Step-by-step explanation:

a^{2} +b^{2} = c^{2} \\24^{2} +b^{2} =40^{2} \\40^{2} -24^{2} =b^{2} \\1600-576=b^{2} \\1024=b^{2} \\\sqrt{1024} =b\\b=32

Tasya [4]3 years ago
5 0

Answer:

No

Step-by-step explanation:

Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.

Solving for a we get a = \sqrt{c^2-b^2}. Then plugging in the values for c and b, we get a = \sqrt{1024} = 32

Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.

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