College

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 determine the size of the monitor based on the diagonal, we start by understanding that Carlos found the diagonal of his laptop monitor to be [tex]\(\sqrt{290}\)[/tex].

The first step is to approximate this square root to understand the diagonal's length. Upon calculation, [tex]\(\sqrt{290}\)[/tex] is approximately 17.03.

The manufacturer typically rounds measurement to the nearest whole number, so we need to round 17.03 to the nearest integer.

When rounding, 17.03 rounds to 17 because the decimal part (.03) is less than .5, and we round down in such cases.

Therefore, the size of the monitor, as measured by the diagonal and rounded to the nearest whole inch, is 17 inches.