Question
\( 1 \leftarrow \begin{array}{l}\text { Perform the calculation. } \\ 65^{\circ} 5^{\prime}+75^{\circ} 48^{\prime} \\ \\ 65^{\circ} 5^{\prime}+75^{\circ} 48^{\prime}=\square^{\circ} \square^{\prime} \\ \text { (Simplify your answers. Type an integer or a fraction.) }\end{array} \)
Ask by Kelley Deleon. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(140^{\circ}53^{\prime}\)
Solution
To perform the calculation:
\[
65^{\circ} 5^{\prime} + 75^{\circ} 48^{\prime}
\]
**Step 1: Add the degrees and minutes separately.**
- **Degrees:** \(65^{\circ} + 75^{\circ} = 140^{\circ}\)
- **Minutes:** \(5^{\prime} + 48^{\prime} = 53^{\prime}\)
Since the sum of the minutes (\(53^{\prime}\)) is less than \(60^{\prime}\), there is no need to carry over to the degrees.
**Final Answer:**
\[
65^{\circ} 5^{\prime} + 75^{\circ} 48^{\prime} = 140^{\circ} 53^{\prime}
\]
**Simplified Answer:**
\[
140^{\circ}53^{\prime}
\]
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Mind Expander
To perform the calculation, first, add the degrees and the minutes separately. Starting with the degrees: \[ 65^\circ + 75^\circ = 140^\circ \] Now, for the minutes: \[ 5' + 48' = 53' \] Putting it all together, we have: \[ 140^\circ 53' \] So, \( 65^{\circ} 5^{\prime}+75^{\circ} 48^{\prime} = 140^{\circ} 53^{\prime} \).
