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 as measured by the diagonal, we need to consider the given length of the diagonal, which is [tex]\(\sqrt{290}\)[/tex].

1. Calculate the value of [tex]\(\sqrt{290}\)[/tex]:
The diagonal is [tex]\(\sqrt{290}\)[/tex], which is approximately 17.03 when you compute it.

2. Rounding to the nearest whole number:
Since the manufacturer rounds to the nearest whole inch, you should round 17.03 to the nearest whole number. In this case, 17.03 is closer to 17 than to 16 or 18. Therefore, it rounds to 17.

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