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Caroline uses a magnifying sheet to help her read. The magnifying sheet dilates letters by o factor of 3. The line segment on the grid models the letter "li" What length, in millimeters, will the letter appear to be when caroline looks at it through the magnifying sheet?

Ask by Tucker Harmon. in the United States
Jan 21,2025

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The letter "li" will appear to be 3 times its original length when viewed through the magnifying sheet. If the original length is \( L \) millimeters, the dilated length is \( 3L \) millimeters.

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Beyond the Answer

If the original length of the letter "li" is \( L \) millimeters, then when observed through a magnifying sheet that dilates letters by a factor of 3, Caroline will see the letter as \( 3L \) millimeters long. For example, if the original letter length measured 2 mm, then through the magnifying sheet, it would appear to be \( 3 \times 2 = 6 \) mm. This concept of magnification is quite similar to the way cameras can zoom in or out on subjects, allowing you to see them larger or smaller. It's fascinating how physics and optics play a role in everyday tools like magnifying sheets, which enhance our vision for better reading and detail observation!

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