Facts:
Light year= \(9.5\) × \(10^{12}\)
1 Mile= 1.609 kilometers
Milky way galaxy= 100,000 light years
e+x= Ten to the power of a number
A. What is the diameter of the Milky way in kilometers?
\(9.5\) × \(10^{12}\) × \(100,000\) which is \(9.5e+17km\)
Milky way Diameter in light years: \(9.5e+17km\)
B. The speed of light is about \(3\)×\(10^{8}\) \(m/s\). What is the speed of light in kilometers? Hours?
B.1 \(3\)×\(10^{8}\)×\(1.609\) which is \(4.827e+8km\)
Different calculations based on the estimated numbers you gave and the actual numbers came with different results. I did it based on what you gave which is \(4.827e+8km\) rather than 4.828e
B.2 \(3\)×\(10^{8}\)×\(60\)(//seconds in minute)×\(60\)(//minutes in a hour) which is \(1.08e+12\)\(m/h\)
C. \(4.827e+12km\)x must equal \(9.5e+17km\)
So \(9.5e+17km\)÷\(4.827e +8km\) which is \(1,968,096,125.96\) then you divide by 60 for minutes, another 60 for hours then 24 for each day which is \(22778.890307\)≈\(22778.89\)
D. You take what resulted in step C and divide by 365 which is \(22778.890307\)÷365= \(62.4079187582\)≈62.4079 years
So as you can see, if I round up numbers, it will vary but they should round 62 years or at least a number near it. This is the best that I can do. Hope I helped and remember to check for yourself that I did it right.
