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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 whole inch, what size is the monitor as measured by the diagonal?

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

Answer :

To find the size of Carlos's laptop monitor as measured by the diagonal, which is given as [tex]\(\sqrt{290}\)[/tex], we need to round this number to the nearest whole inch.

1. First, we calculate the numerical value of [tex]\(\sqrt{290}\)[/tex]. When we do this, we find that it is approximately 17.03.

2. Next, we round 17.03 to the nearest whole number. Since the decimal part is 0.03, which is less than 0.5, we round down.

3. Therefore, when rounded to the nearest whole inch, the diagonal length of the laptop monitor is 17 inches.

So, the size of the monitor as measured by the diagonal is 17 inches.

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