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Answer :
To find how many inches are in 25.8 cm, we can use the given conversion factor: [tex]1\, \text{inch} = 2.54\, \text{cm}[/tex].
Here's how we solve the problem step-by-step:
Set up the conversion factor: Since 1 inch equals 2.54 cm, we can write the conversion factor as a fraction: [tex]\frac{1\, \text{inch}}{2.54\, \text{cm}}[/tex].
Use the conversion factor to find the number of inches: Multiply 25.8 cm by the conversion factor to convert it to inches.
[tex]\text{Inches} = 25.8\, \text{cm} \times \frac{1\, \text{inch}}{2.54\, \text{cm}} = \frac{25.8}{2.54} \text{ inches}[/tex]
Calculate the result: When you divide 25.8 by 2.54, you get approximately 10.157 inches.
[tex]25.8 \div 2.54 \approx 10.157[/tex]
Based on the options given, the closest answer is option D) 10.2 inches.
Therefore, the correct answer is option D) 10.2.
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