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Answer : The correct option is, [tex]-89.2^oF\text{ and }183.9K[/tex]
Explanation :
The conversion used for the temperature from Fahrenheit to degree Celsius is:
[tex]^oC=(^oF-32)\times \frac{5}{9}[/tex]
where,
[tex]^oF[/tex] = temperature in Fahrenheit
[tex]^oC[/tex] = temperature in centigrade
The conversion used for the temperature from degree Celsius to Kelvin is:
[tex]K=273.15+^oC[/tex]
where,
[tex]K[/tex] = temperature in Kelvin
[tex]^oC[/tex] = temperature in centigrade
As we are given the temperature in Fahrenheit is, -10
Now we have to determine the temperature in degree Celsius.
[tex]^oC=(^oF-32)\times \frac{5}{9}[/tex]
[tex]^oC=(-128.6^oF-32)\times \frac{5}{9}[/tex]
[tex]^oC=-89.2[/tex]
Now we have to determine the temperature in Kelvin.
[tex]K=273.15+^oC[/tex]
[tex]K=273.15+(-89.2^oC)[/tex]
[tex]K=183.9[/tex]
Therefore, the temperature in degree Celsius and Kelvin are, [tex]-89.2^oF\text{ and }183.9K[/tex]