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 inches
B. 17 inches
C. 97 inches
D. 245 inches

Answer :

To determine the size of Carlos's laptop monitor, we need to find out the length of its diagonal when rounded to the nearest whole inch. The diagonal is given as [tex]\(\sqrt{290}\)[/tex].

1. Calculate the Value of [tex]\(\sqrt{290}\)[/tex]:
- The length of the diagonal is given as [tex]\(\sqrt{290}\)[/tex], which is approximately equal to 17.03 when calculated more precisely.

2. Round to the Nearest Whole Inch:
- Once you calculate [tex]\(\sqrt{290}\)[/tex] and find it is approximately 17.03, you need to round this number to the nearest whole number.
- Since 17.03 is closer to 17 than to 18, we round it down to 17.

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