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Carlos found that the length of the diagonal of his laptop monitor is [tex]\sqrt{290}[/tex]. If the manufacturer rounds to the nearest inch, what size is the monitor as measured by the diagonal?

A. 12
B. 17
C. 97
D. 245

Answer :

To determine the size of the monitor as measured by the diagonal, we need to calculate the length of the diagonal and then round it to the nearest inch.

1. Calculate the Length of the Diagonal:
The given length of the diagonal is [tex]\(\sqrt{290}\)[/tex].

2. Approximate the Square Root:
After calculating [tex]\(\sqrt{290}\)[/tex], we find that it is approximately 17.03.

3. Round to the Nearest Inch:
The manufacturer rounds this value to the nearest inch. Since 17.03 is closer to 17 than 18, we round it down to 17.

Thus, the monitor size, when measured by the diagonal and rounded to the nearest inch, is 17 inches.

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