Please help me with this I do not understand this at all
Find each of the following:
113°57 + 18°14,
84°139- 27°45,
113°57 + 18.4°,
0.75° in degrees, minutes, and seconds
Sure, I can help you with that!
To find the sum of two angles, you simply add their degrees and minutes separately. Let's start with the first question:
1. 113°57 + 18°14:
- Add the degrees: 113° + 18° = 131°
- Add the minutes: 57' + 14' = 71'
- Now, since there are 60 minutes in a degree, we need to convert 71' to degrees. Divide 71' by 60: 71 ÷ 60 = 1° (with a remainder of 11')
- Therefore, the sum of 113°57 and 18°14 is 131°1'11''
Now, let's move on to the second question:
2. 84°139 - 27°45:
- Subtract the degrees: 84° - 27° = 57°
- Subtract the minutes: 139' - 45' = 94'
- Just like before, we need to convert 94' to degrees. Divide 94' by 60: 94 ÷ 60 = 1° (with a remainder of 34')
- So, the result of 84°139 minus 27°45 is 57°1'34''
For the third question:
3. 113°57 + 18.4°:
- Simply add the degrees: 113° + 18.4° = 131.4°
Finally, let's calculate the conversion for the fourth question:
4. 0.75° in degrees, minutes, and seconds:
- Since 1 degree is equal to 60 minutes and 1 minute is equal to 60 seconds, we need to convert 0.75° to minutes and seconds.
- Multiply 0.75° by 60, which gives us 45 minutes: 0.75° * 60 = 45'
- So, 0.75° is equal to 45 minutes.
I hope this helps! Let me know if you have any further questions.