In a scale model of the solar system the key is 1.391 million km is equal to 1 meter, what is the circumference of the other planets?

Respuesta :

Answer:

Mercury 0.011020m

Venus 0.027336m

Earth 0.028810m

Mars 0.015344m

Jupiter 0.315790m

Saturn 0.272232m

Uranus 0.115449m

Neptune 0.111861m

Explanation:

we have that 1.391 million km is equal to 1m then using scientific notation.

[tex]1.391000000\,km=1.391\times 10^{6}\,km[/tex] then [tex]1.391\times 10^{-6}\,km =1\,m[/tex]

The circumference of Mercury is [tex]15329\,km[/tex] we can do the conversion with the next process:

[tex]15329\,km(\frac{1m}{1.391\times10^6})=\frac{15329}{1.391\times 10^6}m=11020.129\times^{-6}m[/tex]

Without the scientific notation the answer for mercury is [tex]0.011020m[/tex]

Now we have to repeat the process for the other planets.

  • Venus has a circumference of [tex]38025km[/tex] then:

[tex]38025\,km(\frac{1m}{1.391\times10^6})=\frac{38025}{1.391\times 10^6}m=27336.449\times^{-6}m[/tex]

Without the scientific notation the answer for Venus is [tex]0.027336m[/tex]

  • Earth has a circumference of [tex]40075km[/tex] then:

[tex]40075\,km(\frac{1m}{1.391\times10^6})=\frac{40075}{1.391\times 10^6}m=28810.208\times^{-6}m[/tex]

Without the scientific notation the answer for Earth is [tex]0.028810m[/tex]

  • Mars has a circumference of [tex]21344km[/tex] then:

[tex]21344\,km(\frac{1m}{1.391\times10^6})=\frac{21344}{1.391\times 10^6}m=15344.357\times^{-6}m[/tex]

Without the scientific notation the answer for Mars is [tex]0.015344m[/tex]

  • Jupiter has a circumference of [tex]439264km[/tex] then:

[tex]439264\,km(\frac{1m}{1.391\times10^6})=\frac{439264}{1.391\times 10^6}m=315790.079\times^{-6}m[/tex]

Without the scientific notation the answer for Jupiter is [tex]0.315790m[/tex]

  • Saturn has a circumference of [tex]378675km[/tex] then:

[tex]378675\,km(\frac{1m}{1.391\times10^6})=\frac{378675}{1.391\times 10^6}m=272232.207\times^{-6}m[/tex]

Without the scientific notation the answer for Saturn is [tex]0.272232m[/tex]

  • Uranus has a circumference of [tex]160590km[/tex] then:

[tex]160590\,km(\frac{1m}{1.391\times10^6})=\frac{160590}{1.391\times 10^6}m=115449.317\times^{-6}m[/tex]

Without the scientific notation the answer for Uranus is [tex]0.115449m[/tex]

  • Neptune has a circumference of [tex]155600km[/tex] then:

[tex]155600\,km(\frac{1m}{1.391\times10^6})=\frac{155600}{1.391\times 10^6}m=111861.969\times^{-6}m[/tex]

Without the scientific notation the answer for Neptune is [tex]0.111861m[/tex]

Q&A Education