Malachai is doing a 20 miles bike ride. He has cycled 11 miles so far. What percentage of the the total distance has he cycled
1 answer:
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Answer:
James Spent 25 hours driving from Philadelphia to New Orleans.
Step-by-step explanation:
Given:
Distance from Philadelphia to Orlando = 986 miles
Time required to travel Philadelphia to Orlando = 14.5 hrs
Distance from Orlando to New Orleans = 714 mile.
We need to find the total amount of time James spent driving from Philadelphia to New Orleans.
Solution:
First we will find the average speed from Philadelphia to Orlando.
We know that;
Speed is equal to distance divided by time.
framing in equation form we get;
average speed from Philadelphia to Orlando =
Now given that he traveled with same speed from Orlando to New Orleans.
So we will find the time required from Orlando to New Orleans.
We know that;
Time is equal to Distance divided by speed.
framing in equation form we get;
time required from Orlando to New Orleans =
Now we will find the total time James spent on driving from Philadelphia to New Orleans.
the total time James spent on driving from Philadelphia to New Orleans is equal to sum of Time required to travel Philadelphia to Orlando and time required from Orlando to New Orleans.
framing in equation form we get;
the total time James spent on driving from Philadelphia to New Orleans = 14.5 + 10.5 = 25 hours.
Hence James Spent 25 hours driving from Philadelphia to New Orleans.
3)
check the picture below.
bearing in mind that the point of tangency, the green one there, is always a right-angle, then we get that much for the distance AB.
since the satellite can emit a signal at a speed of 186,000 miles/second, how long will it be to cover AB? well, it'll just be AB/186000, which is about 0.1381 seconds.
and how long will it be to cover the distance AE? well, it'll just be AE/186000, which is about 0.11828 seconds.
of course is quicker to AE since it's closer, so the difference for both distances will be AB - AE, which is about 0.01984121052328095721 seconds.
4)
if the satellite makes a revolution, or 2π, in 24 hours, and we know the satallite is orbiting at 22000+4000 or 26000 miles from the center of the Earth, thus its circular orbit has a radius of 26000, how many miles is that?
well, Circumference of a circle is C = 2πr, if r = 26000, then C = 2π(26000), so on those 24 hours it has covered 52000π miles.
how fast must it travel then?
now if you need the rate in miles/seconds, bear in mind that an hour has 60 minutes and each minute 60 seconds, thus and hour has 60*60 seconds or 3600, thus its speed in miles/seconds will be 52000π/3600.
check the picture below.
bearing in mind that the point of tangency, the green one there, is always a right-angle, then we get that much for the distance AB.
since the satellite can emit a signal at a speed of 186,000 miles/second, how long will it be to cover AB? well, it'll just be AB/186000, which is about 0.1381 seconds.
and how long will it be to cover the distance AE? well, it'll just be AE/186000, which is about 0.11828 seconds.
of course is quicker to AE since it's closer, so the difference for both distances will be AB - AE, which is about 0.01984121052328095721 seconds.
4)
if the satellite makes a revolution, or 2π, in 24 hours, and we know the satallite is orbiting at 22000+4000 or 26000 miles from the center of the Earth, thus its circular orbit has a radius of 26000, how many miles is that?
well, Circumference of a circle is C = 2πr, if r = 26000, then C = 2π(26000), so on those 24 hours it has covered 52000π miles.
how fast must it travel then?
now if you need the rate in miles/seconds, bear in mind that an hour has 60 minutes and each minute 60 seconds, thus and hour has 60*60 seconds or 3600, thus its speed in miles/seconds will be 52000π/3600.