1º As formulas a seguir são usadas para transformar graus Fahrenheit em graus celcius e vice-versa:
C= 5 ( F - 32 ) F = 9C + 32
______ ___
9 5
A) Transforme 170º F em graus celsius
B) Qual temperatura é mais baixo 0º C ou 10 Fº
Soluções para a tarefa
Respondido por
34
Resolução da questão, veja:
Letra “A”:
Converter 170 °F em °C:
![\mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{\°F-32}{9}}~\to~\mathsf{170~\°F}}}}\\\\\\\\\ \mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{170-32}{9}}\\\\\\\\\ \mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{138}{9}}\\\\\\\\ \mathsf{9\°C = 690}}\\\\\\\\\ \mathsf{\°C = \dfrac{690}{9}}\\\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\mathsf{\°C \approx 76,66.}}}}}}}}}}}}}}}}}}}}}}}}} \mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{\°F-32}{9}}~\to~\mathsf{170~\°F}}}}\\\\\\\\\ \mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{170-32}{9}}\\\\\\\\\ \mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{138}{9}}\\\\\\\\ \mathsf{9\°C = 690}}\\\\\\\\\ \mathsf{\°C = \dfrac{690}{9}}\\\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\mathsf{\°C \approx 76,66.}}}}}}}}}}}}}}}}}}}}}}}}}](https://tex.z-dn.net/?f=+%5Cmathsf%7B%5Cdfrac%7B%5C%C2%B0C%7D%7B5%7D%7D+%3D+%5Cmathsf%7B%5Cdfrac%7B%5C%C2%B0F-32%7D%7B9%7D%7D%7E%5Cto%7E%5Cmathsf%7B170%7E%5C%C2%B0F%7D%7D%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Cdfrac%7B%5C%C2%B0C%7D%7B5%7D%7D+%3D+%5Cmathsf%7B%5Cdfrac%7B170-32%7D%7B9%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Cdfrac%7B%5C%C2%B0C%7D%7B5%7D%7D+%3D+%5Cmathsf%7B%5Cdfrac%7B138%7D%7B9%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B9%5C%C2%B0C+%3D+690%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5C%C2%B0C+%3D+%5Cdfrac%7B690%7D%7B9%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C+%5Clarge%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cmathsf%7B%5C%C2%B0C+%5Capprox+76%2C66.%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D+)
Ou seja, 170 °F equivalente a aproximadamente 76,66 °C.
Letra “B“:
Neste caso para sabermos qual a temperatura é mais baixa teremos que converter uma dessas temperaturas, vamos então converter 10 °F para °C, vejamos:
![\mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{\°F-32}{9}}~\to~\mathsf{10~\°F}}}}\\\\\\\\\ \mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{10-32}{9}}\\\\\\\\\ \mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{-22}{9}}\\\\\\\\\ \mathsf{9\°C = -110}}\\\\\\\\\ \mathsf{\°C = \dfrac{-110}{9}}\\\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\mathsf{\°C \approx-12,22.}}}}}}}}}}}}}}}}}}}}}}}}}}}}} \mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{\°F-32}{9}}~\to~\mathsf{10~\°F}}}}\\\\\\\\\ \mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{10-32}{9}}\\\\\\\\\ \mathsf{\dfrac{\°C}{5}} = \mathsf{\dfrac{-22}{9}}\\\\\\\\\ \mathsf{9\°C = -110}}\\\\\\\\\ \mathsf{\°C = \dfrac{-110}{9}}\\\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\mathsf{\°C \approx-12,22.}}}}}}}}}}}}}}}}}}}}}}}}}}}}}](https://tex.z-dn.net/?f=+%5Cmathsf%7B%5Cdfrac%7B%5C%C2%B0C%7D%7B5%7D%7D+%3D+%5Cmathsf%7B%5Cdfrac%7B%5C%C2%B0F-32%7D%7B9%7D%7D%7E%5Cto%7E%5Cmathsf%7B10%7E%5C%C2%B0F%7D%7D%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Cdfrac%7B%5C%C2%B0C%7D%7B5%7D%7D+%3D+%5Cmathsf%7B%5Cdfrac%7B10-32%7D%7B9%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Cdfrac%7B%5C%C2%B0C%7D%7B5%7D%7D+%3D+%5Cmathsf%7B%5Cdfrac%7B-22%7D%7B9%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B9%5C%C2%B0C+%3D+-110%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5C%C2%B0C+%3D+%5Cdfrac%7B-110%7D%7B9%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C+%5Clarge%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cmathsf%7B%5C%C2%B0C+%5Capprox-12%2C22.%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D+)
Ou seja, a temperatura de 10 °F é mais baixa do que 0 °C, visto que 10 °F equivale a aproximadamente -12,22 °C, que é menor que 0 °C.
Espero que te ajude '-'
Letra “A”:
Converter 170 °F em °C:
Ou seja, 170 °F equivalente a aproximadamente 76,66 °C.
Letra “B“:
Neste caso para sabermos qual a temperatura é mais baixa teremos que converter uma dessas temperaturas, vamos então converter 10 °F para °C, vejamos:
Ou seja, a temperatura de 10 °F é mais baixa do que 0 °C, visto que 10 °F equivale a aproximadamente -12,22 °C, que é menor que 0 °C.
Espero que te ajude '-'
anahsilva12:
muito obgado
Respondido por
1
Resposta:
eu quero a resposta da número dois transformar Celsius para fahrenheit
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