Question

C = 5.(F - 32)
________
9

Transforme 35°C em graus Fahrenheit

Answer 1

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•   Temperatura na escala Celsius:   $\mathsf{T_C=35~^\circ C};$

•   Temperatura na escala Fahrenheit:   $\mathsf{T_F}.$


A relação de transformação entre as escalas é

$\mathsf{\dfrac{T_C}{100-0}=\dfrac{T_F-32}{212-32}}\\\\\\ \mathsf{\dfrac{T_C}{100}=\dfrac{T_F-32}{180}}\\\\\\ \mathsf{\dfrac{T_C}{5}\cdot \dfrac{1}{20}=\dfrac{T_F-32}{9}\cdot \dfrac{1}{20}}\\\\\\ \mathsf{\dfrac{T_C}{5}=\dfrac{T_F-32}{9}}$

$\mathsf{\dfrac{9}{5}\,T_C=T_F-32}\\\\\\ \mathsf{T_F=\dfrac{9}{5}\,T_C+32}$


Substituindo,

$\mathsf{T_F=\dfrac{9}{5}\cdot 35+32}\\\\\\ \mathsf{T_F=\dfrac{9}{\diagup\!\!\!\! 5}\cdot (\diagup\!\!\!\! 5\cdot 7)+32}\\\\\\ \mathsf{T_F=9\cdot 7+32}\\\\\\ \mathsf{T_F=63+32}\\\\\\\ \boxed{\begin{array}{c}\mathsf{T_F=95~^\circ F} \end{array}}\quad\longleftarrow\quad\textsf{esta \'e a resposta.}$


Bons estudos! :-)


Tags:   escalas termométricas conversão celsius fahrenheit termometria