divide 44degree8minutes into two parts such that the number of sexagesimal seconds in one part may be equal to the number of centesimal seconds in the other part?
i got the answer by myself, plse don't solve it.
Ok. Thanks for letting us know.
I did not realize that Babylonians used a sexagesimal numbering system, until I looked up the word.
To solve this problem, we need to convert all the given measurements into the same unit, either sexagesimal or centesimal seconds. Here's how you can do it:
1. Convert the given angle of 44 degrees and 8 minutes to sexagesimal seconds:
- Each degree has 60 minutes, so multiply 44 degrees by 60 to get 2640 minutes.
- Since there are 60 seconds in a minute, multiply 2640 minutes by 60 to get 158,400 seconds.
Now we have 158,400 sexagesimal seconds.
2. Convert the given angle of 44 degrees and 8 minutes to centesimal seconds:
- Each degree has 100 centesimal minutes.
- Convert 8 minutes to centesimal minutes by multiplying it by 100/60 (conversion factor).
- 8 minutes * (100/60) = 13.3333... centesimal minutes (approximated to 13.33).
- Since there are 100 seconds in a centesimal minute, multiply 13.33 centesimal minutes by 100 to get 1333.33... centesimal seconds (approximated to 1333.33).
Now we have 1333.33 centesimal seconds.
Now that we have converted both measurements to the same unit, we can divide them into two parts such that the number of sexagesimal seconds in one part is equal to the number of centesimal seconds in the other part.
Since 158,400 divided by 2 is 79,200, we can assign one part as 79,200 sexagesimal seconds.
To find the other part, we need to find an equivalent number of centesimal seconds. For this, we'll convert 79,200 sexagesimal seconds to centesimal seconds:
- 79,200 sexagesimal seconds ÷ (60 ÷ 100) (conversion factor) = 132,000 centesimal seconds.
Therefore, one part is 132,000 centesimal seconds.
Now we have divided 44 degrees 8 minutes into two parts, with one part being 79,200 sexagesimal seconds and the other part being 132,000 centesimal seconds.