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distances in space are measured in light-years. The distance from earth to a star is 4.1 x 10^13 kilometers. What is the distance,in light-years,from earth to the star (1 light-year=9.46 x 10^12 kilometers)?

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WyattMarine501
Sorry for this answer taking so long, as you have probably figured it out, but here it is.

One light year is equal to 9.461 x 10^12 kilometers.
If you have 4.1 x 10^13 kilometers, then you just put it out in standard notation as 41000000000000 kilometers. Now take a light year, which is 9461000000000 kilometers. Now we just have to divide the kilometers by one light year and we get 41000000000000 / 9461000000000 = 4.33357995984. If we round this answer to the nearest hundredth, we have 4.33. There we have it! 4.33 light years.
dwivedisiddhant03

The distance, in light-years, from earth to the star can be calculated converting the kilometer in to light year.

The distance, in light-years, from earth to the star is 4.33 light-year.

Given:

The distance from earth to a star is [tex]4.1 \times 10^{13} \rm \: kilometers[/tex].

As per the question,

[tex]1 \:\rm {light-year}=9.46 \times 10^{12} \rm \: kilometers[/tex]

Convert the 1 kilometer in to light-year.

[tex]1\:\rm km=\dfrac{1}{9.46\times10^{12}}\:\rm light- year[/tex]

Thus,

[tex]4.1\times 10^{13}\:\rm km=\dfrac{4.1\times 10^{13}}{9.46\times10^{12}}\:\rm \ light-year\\4.1\times 10^{13}\:\rm km=4.33 \rm \: light-year[/tex]

Thus, the distance, in light-years, from earth to the star is 4.33 light-year.

Learn more about distance here:

https://brainly.com/question/1399543

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