Respuesta :
[tex]t\geq-273\\\\
358=20\sqrt{273+t}\\
17.9=\sqrt{273+t}\\
320.41=273+t\\
t=47.41\approx47[/tex]
[tex]v=20\sqrt{273+t};\ t > 0[/tex]
We have
[tex]v=358\ m/s[/tex]
substitute
[tex]20\sqrt{273+t}=358\ \ \ |:20\\\\\sqrt{273+t}=17.9\ \ \ |square\ both\ sides\\\\273+t=320.41\ \ \ \ |-273\\\\t=47.41\approx47[/tex]
Answer: 47°C
We have
[tex]v=358\ m/s[/tex]
substitute
[tex]20\sqrt{273+t}=358\ \ \ |:20\\\\\sqrt{273+t}=17.9\ \ \ |square\ both\ sides\\\\273+t=320.41\ \ \ \ |-273\\\\t=47.41\approx47[/tex]
Answer: 47°C