Answer :
To determine the size of Carlos's laptop monitor as measured by the diagonal, we need to round the given diagonal length, [tex]\(\sqrt{290}\)[/tex], to the nearest whole inch.
Here’s how you can approach this:
1. Calculate the Exact Length:
- The diagonal length is given as [tex]\(\sqrt{290}\)[/tex].
2. Estimate the Square Root:
- We know [tex]\(17^2 = 289\)[/tex] and [tex]\(18^2 = 324\)[/tex].
- Since [tex]\(290\)[/tex] is closer to [tex]\(289\)[/tex] than [tex]\(324\)[/tex], [tex]\(\sqrt{290}\)[/tex] is just slightly more than 17.
3. Round to the Nearest Whole Inch:
- When we calculate the square root of 290, we find it is approximately 17.029.
- When rounding 17.029 to the nearest whole number, we get 17.
Therefore, the manufacturer would round the diagonal length to 17 inches. Hence, the size of Carlos's monitor, as measured by the diagonal, is 17 inches.
Here’s how you can approach this:
1. Calculate the Exact Length:
- The diagonal length is given as [tex]\(\sqrt{290}\)[/tex].
2. Estimate the Square Root:
- We know [tex]\(17^2 = 289\)[/tex] and [tex]\(18^2 = 324\)[/tex].
- Since [tex]\(290\)[/tex] is closer to [tex]\(289\)[/tex] than [tex]\(324\)[/tex], [tex]\(\sqrt{290}\)[/tex] is just slightly more than 17.
3. Round to the Nearest Whole Inch:
- When we calculate the square root of 290, we find it is approximately 17.029.
- When rounding 17.029 to the nearest whole number, we get 17.
Therefore, the manufacturer would round the diagonal length to 17 inches. Hence, the size of Carlos's monitor, as measured by the diagonal, is 17 inches.
