6-4 Homework G
6.4.4
Question Help
A certain star is 4.2 x 102 light years from the Earth. One light year is about 5.9 x 1012 miles. How far from the earth (in miles) is the star?

Respuesta :

Answer: Distance of earth from star = [tex]24.78\times10^{14}\text{ miles}[/tex]

Step-by-step explanation:

Given: A certain star is [tex]4.2 \times 10^2[/tex] light years from the Earth.

One light year is about [tex]5.9 \times 10^{12}[/tex] miles.

Distance of earth from star = [tex]4.2\times10^2\times 5.9\times10^{12}[/tex]

[tex]=4.2\times5.9\times10^2\times10^{12}\text{ miles}\\\\=24.78\times10^{2+12}\text{ miles}\\\\=24.78\times10^{14}\text{ miles}[/tex]

Hence, Distance of earth from star = [tex]24.78\times10^{14}\text{ miles}[/tex]

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