High School

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 the length of the diagonal. Carlos found that the length of the diagonal is [tex]\(\sqrt{290}\)[/tex].

To find the size of the monitor as measured by the diagonal, we need to calculate [tex]\(\sqrt{290}\)[/tex] and then round it to the nearest whole inch.

1. First, calculate [tex]\(\sqrt{290}\)[/tex].

2. After calculating, you'll find that [tex]\(\sqrt{290}\)[/tex] is approximately 17.029.

3. Now, round 17.029 to the nearest whole number. Since the decimal part is 0.029 which is less than 0.5, you round it down. So, 17.029 rounds to 17.

Therefore, the monitor size, when rounded to the nearest whole inch, is 17 inches.