solving applications
Algebra

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It take 3*10^8 years for a particular star to make one orbit around its galaxy.Assume that this star's orbit in its galaxy is circular with a diameter of 10^6 lightyears. There are about 5.859*10^12 mile in 1 light year. Estimate how many miles, it travels in one year.
Use scientific notation
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Diameter of star's orbit,d = 10^6 light years
Radius of star's orbit, r = d/2 = (10^6)/2 = 0.5x10^6 = 5x10^5 light years
Circumference of star's orbit = 2πr = 2x3.14x5x10^5 = 31.4x10^5 light years
So the star takes 3x10^8 years to travel 31.4x10^5 light years
So distance traveled by the star in 1 year = (31.4x10^5 years)/(3x10^8) = 10.5x10^(3) light years
1 light year = 5.859x10^12 miles
So distance traveled by the star in 1 year in miles = 10.5x10^(3)x5.859x10^12=

Please let me know if you need any clarification. I'm always happy to answer your questions.So distance traveled by the star in 1 year in miles = 10.5x10^(3)x5.859x10^12
= 61.5195x10^9 miles
= 6.15195x10^9 miles  ANSWER
Please ignore my previous submission.

So distance traveled by the star in 1 year in miles = 10.5x10^(3)x5.859x10^12
= 61.5195x10^9 miles
= 6.15195x10^8 miles  ANSWER
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