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Answer :
Let's go through each of these conversions step-by-step.
Convert 98.5 degrees Fahrenheit to Celsius:
The formula to convert Fahrenheit to Celsius is:
[tex]C = \frac{5}{9} (F - 32)[/tex]
Where:
- [tex]F[/tex] is the temperature in Fahrenheit
- [tex]C[/tex] is the temperature in Celsius
So, for [tex]F = 98.5[/tex]:
[tex]C = \frac{5}{9} (98.5 - 32)[/tex]
[tex]C = \frac{5}{9} \times 66.5[/tex]
[tex]C \approx 37.0[/tex]Therefore, the closest answer is d) 37°.
Convert 10°C into °F:
The formula to convert Celsius to Fahrenheit is:
[tex]F = \frac{9}{5} C + 32[/tex]
Where:
- [tex]C[/tex] is the temperature in Celsius
- [tex]F[/tex] is the temperature in Fahrenheit
So, for [tex]C = 10[/tex]:
[tex]F = \frac{9}{5} \times 10 + 32[/tex]
[tex]F = 18 + 32[/tex]
[tex]F = 50[/tex]Therefore, the answer is c) 50°.
Convert 82° Fahrenheit to Celsius in Ooty:
Using the same formula [tex]F = \frac{9}{5} C + 32[/tex], we need to rearrange to solve for [tex]C[/tex]:
[tex]C = \frac{5}{9} (F - 32)[/tex]
Substitute [tex]F = 82[/tex]:
[tex]C = \frac{5}{9} (82 - 32)[/tex]
[tex]C = \frac{5}{9} \times 50[/tex]
[tex]C \approx 27.78[/tex]The closest option to this temperature is a) 28°.
These calculations are straightforward and are used to convert temperatures between Fahrenheit and Celsius, which is useful in various contexts such as weather reports and scientific settings.
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