Answer :
To determine the size of Carlos's laptop monitor, we begin with the diagonal length given as [tex]\(\sqrt{290}\)[/tex].
First, let's approximate [tex]\(\sqrt{290}\)[/tex]. We know:
- [tex]\(\sqrt{289} = 17\)[/tex] (since [tex]\(289 = 17^2\)[/tex])
- Since 290 is very close to 289, [tex]\(\sqrt{290}\)[/tex] will be slightly more than 17.
The exact value of [tex]\(\sqrt{290}\)[/tex] is approximately 17.03. When manufacturers give the size of monitors, they round the diagonal measurement to the nearest whole number.
So:
1. The calculated value of the diagonal is approximately 17.03 inches.
2. When you round 17.03 to the nearest whole number, it becomes 17.
Thus, the size of the monitor, as measured by the diagonal and rounded to the nearest whole inch, is 17 inches. The answer is 17.
First, let's approximate [tex]\(\sqrt{290}\)[/tex]. We know:
- [tex]\(\sqrt{289} = 17\)[/tex] (since [tex]\(289 = 17^2\)[/tex])
- Since 290 is very close to 289, [tex]\(\sqrt{290}\)[/tex] will be slightly more than 17.
The exact value of [tex]\(\sqrt{290}\)[/tex] is approximately 17.03. When manufacturers give the size of monitors, they round the diagonal measurement to the nearest whole number.
So:
1. The calculated value of the diagonal is approximately 17.03 inches.
2. When you round 17.03 to the nearest whole number, it becomes 17.
Thus, the size of the monitor, as measured by the diagonal and rounded to the nearest whole inch, is 17 inches. The answer is 17.
