To find the Celsius temperature when the Fahrenheit reading is [tex]\(50^\circ\)[/tex], we use the conversion formula:
[tex]\[ C = \frac{5(F - 32)}{9} \][/tex]
1. Start with the Fahrenheit temperature [tex]\( F \)[/tex]:
[tex]\[ F = 50 \][/tex]
2. Plug this value into the formula:
[tex]\[ C = \frac{5(50 - 32)}{9} \][/tex]
3. Subtract 32 from 50:
[tex]\[ 50 - 32 = 18 \][/tex]
4. Substitute 18 into the formula:
[tex]\[ C = \frac{5 \times 18}{9} \][/tex]
5. Multiply 5 by 18:
[tex]\[ 5 \times 18 = 90 \][/tex]
6. Divide 90 by 9:
[tex]\[ \frac{90}{9} = 10 \][/tex]
So, the Celsius temperature corresponding to [tex]\(50^\circ\)[/tex] Fahrenheit is:
[tex]\[ C = 10 \][/tex]
Therefore, the Celsius temperature is [tex]\(10^\circ\)[/tex].
