How many times do the hands of the clock make an angle 110 degrees in a day?
Answers
Answer:
That makes it 44 occurrences
Step-by-step explanation:
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Answer:
When we say, in a day, I am assuming, we are talking about 24 hours time. It might look ike a daunting task, but since we are not required to find the exact time when we have 110 Degrees between the two hands, we can roughly calculate it on an hourly basis and the add it up to determine the total occurrences. So, let’s go.
Let’s calculate from 00:00 hours to 12:00 noon and then we will multiply the count by 2, to declare the final result.
Time Range ————— No. of Occurrences
00:00 to 01:00 ————— 2
01:00 to 02:00 ————— 2
02:00 to 03:00 ————— 2
03:00 to 04:00 ————— 1
04:00 to 05:00 ————— 2
05:00 to 06:00 ————— 2
06:00 to 07:00 ————— 2
07:00 to 08:00 ————— 2
08:00 to 09:00 ————— 1
09:00 to 10:00 ————— 2
10:00 to 11:00 ————— 2
11:00 to 12:00 ————— 2
Total Occurrences ——— 22
Another 22 occurrences in the next 12 hours. That makes it 44 occurrences.
Thus, 44 is the required answer.
Step-by-step explanation:
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