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Rosa is building a guitar. The second fret is
33.641mm from the first fret. The third fret is
31.749mm from the second fret.
How far is the third fret from the first fret?

mm

Rosa is building a guitar. The second fret is $33.641 \mathrm{~mm}$ from the first fret. The third fret is $31.749 \mathrm{~mm}$ from the second fret. $\newline$ How far is the third fret from the first fret? $\newline$ $\mathrm{mm}$

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Pythagorean theorem

Full solution

Q. Rosa is building a guitar. The second fret is

33.641 \mathrm{~mm}

from the first fret. The third fret is

31.749 \mathrm{~mm}

from the second fret.

\newline

How far is the third fret from the first fret?

\newline

\mathrm{mm}

Calculate total distance: To find the distance from the first fret to the third fret, we need to add the distance from the first fret to the second fret and the distance from the second fret to the third fret. $\newline$ Calculation: $33.641\,\text{mm} + 31.749\,\text{mm}$
Perform addition: Now we perform the addition of the two distances. $33.641\,\text{mm} + 31.749\,\text{mm} = 65.390\,\text{mm}$
Verify calculation: We check the calculation for any mathematical errors. $\newline$ Adding the two distances again to ensure accuracy: $33.641\,\text{mm} + 31.749\,\text{mm} = 65.390\,\text{mm}$

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