Question
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?
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
Upstudy AI Solution
Tutor-Verified Answer
Answer
The letter “li” will appear to be 3 times its original length when viewed through the magnifying sheet. If the original length is
Solution
To solve the problem, we need to determine the length of the letter “li” when viewed through the magnifying sheet that dilates it by a factor of 3.
-
Identify the known conditions:
- The magnifying sheet dilates the letters by a factor of 3.
- We need to find the original length of the letter “li” on the grid.
-
Assume the original length of the letter “li”:
- Let’s denote the original length of the letter “li” as
(in millimeters).
- Let’s denote the original length of the letter “li” as
-
Calculate the dilated length:
- The length when viewed through the magnifying sheet will be
.
- The length when viewed through the magnifying sheet will be
Since we don’t have the original length
Thus, the length of the letter “li” when viewed through the magnifying sheet will be
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Beyond the Answer
If the original length of the letter “li” is
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!
