At what exact times of day do the hour and minute hands of a clock meet?
Let measure time t in seconds and fix t=0 at 12:00 midnight. Although we can divide the full angle into 360 degrees but here for the sake of simplicity we divide the full angles into 60 seconds! abbreviated SEC. Thus 60 SEC= 360 degrees or 1 SEC=60 degrees. (forget all about degrees from now on) At time t (measured in seconds): The minute hand shows t/60 SEC The hour hand shows 5*t/3600 SEC that is t/720 When each turns a complete round that is 60 SEC we reset its value. At t=0 both hands coincide. (12:00:00) Next coincidence is at (t-3600)/60=t/720. t-3600=t/12 12t-43200=t 11t=43200 t=43200/11=3927.27 which is 01:05:27.27 We have computed the kth coincidence for k=0 and k=1. The general equation for kth coincidence is : (t-3600k)/60=t/720 which simplifies to: t=43200k/11 (for k=0,1,2,3,...,10) There are 11 coincidenced in each 12 hours. k=0 t=0. k=1 t=3927.272727 k=2 t=7854.545454 k=3 t=11781.81818 k=4 t=15709.09091 k=5 t=19636.36364 k=6 t=23563.63636 k=7 t=27490.90909 k=8 t=31418.18182 k=9 t=35345.45454 k=10 t=39272.72727 or in more readable form: 0 12:00:00.00 1 01:05:27.27 2 02:10:54.54 3 03:16:21.81 4 04:21:49.09 5 05:27:16.36 6 06:32:43.63 7 07:38:10.90 8 08:43:38.18 9 09:49:05.45 10 10:54:32.72 and most interesting: k=11 12:00:00 again!
Assume the clock is a circle. Also, assume that the second hand’s continuous motion is the cause of the problem, and not the tick of the minute hand.The second hand normally traverses 360 degrees in one minute. We would expect, then, for the second hand to travel 21,600 degrees in one hour.If the clock gains five minutes every hour, the second hand is rotating for an additional five minutes that have not occurred. This means it has rotated 360 degrees five extra times.[math]21,600^\circ+(5)(360^\circ)=23,400^\circ[/math]Divide this by 60 seconds per minute to yield:[math]390^\circ[/math]
Write 43º 18' 35'' as a decimal to the nearest thousandth of a degree.?
The artwork is like this, yet i think of the question is written incorrect (for sure) 40 3° 18' 34" this is reported "40 3 tiers, 18 minutes, 34 seconds" only like time may be with hours it works comparable to time too, because of the fact a minute is one million/60 of a level, and a 2nd is one million/3600 of a level 40 3 + 18/60 + 34/3600 is the mathematics to do for it i visit furnish you the respect and privilege of working that via a calculator and searching the the appropriate option letter to p.c..
Write 122 degrees 43' 12" as a decimal to the nearest thousandth of a degree?
Remember that... 1 degree = 60 minutes 1 minute = 60 seconds So? 122 + 43/60 + 12/3600 = 122.72 degrees I hope this helps!
How do i convert time into decimals for my timesheet?
1 Hour divided by 60 = 0.0166 or every minute is 0.0166 Hours. Also, add 2 to every hour after noon so 1 PM = 1300 hours. Now if you come to work at 6:45 AM and get out at 7 PM, you can subtract 06.75 from 19.00 hours and you get 12.25 hours. The link below will provide an on line calculator to do this for you.
37,843,200 times a year.Your heart works like a machine and tirelessly pumps throughout your life to provide your body with enough power to function properly. During the course of an average lifetime, your heart may beat more than two and a half billion times. The average heart beats per minute is 72, with an average lifespan today--75 years, your heart beats 4,320 times per hour, 103,680 times a day, 37,843,200 times a year, and 2,838,240,000 times a lifetime on average.How Many Times Does Your Heart Beat a Day?
1 day = 24 hours.1 hour = 60 minutes.1 minute = 60 seconds. Therefore, 1 day = 24*60*60 = 86,400 seconds. Number of days in 1 million seconds = 1,000,000/86,400 = 11.574 days.
When people clock in and clock out, it gives you their times. so when calculating how many hours...?
a way to do this is to change the format into a 24 hour clock. like when its 1pm, instead of taking 1 pm you take it 13pm. ie 12pm plus 1 hr just add the pm hour to 12. but REMEMBER, only do this when one hour is in am and other in pm, or vice versa so now, coming to your questions 11:09 - 5:17 am = 23:09 - 5:17 am here as its 5 am.... you add this to 24 am. it becomes 24+5 :17 29:17 now subtract 23:09 from 29:17 29:17 - 23:09 = 6 hours 8 minutes 2) 4:05 pm to 8:01 pm here its easy just subtract 4:05 from 8:01 we know 8- 4 gives us four hours, but how to subtract 05 from 01. for that : you take one hour from the hour side, convert it to minutes and add it to the minute side. like here, 8 - 1(which is 60 minutes) and at minute side 01 + 60 ( which is 1 hour) so 8: 01 can be written as 7: 61. now subtract 7:61 - 4:05 which gives 3 hours 56 minutes 3) 1:43 am - 5: 33 am again, you dont need to conver this into a 24 hour clock. just like in q 2. 5- 1 hr ( 6o minutes) and at minute side 33 + 60 minute ( 1 hr) so 5:33 can be written as 4:93 now subtract 1:43 from 4:93 3 hours 50 minutes 4) 4:01 pm - 5:35 am here as one is in am and other in pm, we convert it into the 24 hour format 4:01 becomes 16:01 ( 12:00 pm +4:01) and 5:35 becomes 29:35 ( 24:00 am+ 5:35) now subtract, 16:01 from 29:35 it gives us 13 hours 34 minutes 5) 10:00 pm - 5:54 am again we convert, 10:00 pm = 22:00 pm, and 5:54 am= 29:54 am now subtract 22:00 from 29:54 it gives us 7 hours, 54 minutes
A culture starts with 8600 bacteria. After one hour the count is 10,000?
We know that an equation that models this takes the form of: P = A*e^(kt) Where P is the amount at time t, A is the initial amount, and k is a constant. Since it starts with 8,600 bacteria: P = 8600*e^(kt) At t = 1, P = 10000. So: 10000 = 8600*e^(60k) ==> 50/43 = e^(60k) ==> k = ln(50/43)/60 Therefore, the equation that models the bacteria after t minutes is: A = 8600*e^[t*ln(50/43)/60] ==> A ≈ 8600*e^(0.0025137t) I hope this helps!