Answer :
[tex]v=\frac{1087\sqrt{t}}{273}\ \ \ \ /\cdot\frac{273}{1087}\\\\\sqrt{t}=\frac{273v}{1087}\\\\t=\left(\frac{273v}{1087}\right)^2[/tex]
[tex]1)\ \ \ v=1087 \sqrt{ \frac{t}{273} } \ \ \ \Leftrightarrow\ \ \ v=1087 \cdot \sqrt{t} }\cdot \frac{1}{\sqrt{273}}\ /\cdot \sqrt{273}\\\\\sqrt{273}\cdot v=1087\cdot \sqrt{t} \ /:1087\\\\ \sqrt{t}= \frac{\sqrt{273}\cdot v}{1087} \ \ \ \Rightarrow\ \ \ (\sqrt{t})^2=( \frac{\sqrt{273}\cdot v}{1087})^2\\\\t= \frac{\big{273\cdot v^2}}{\big{1087^2} }\ \ \ \Rightarrow\ \ \ t= \frac{\big{273v^2}}{\big{1,181,569} }\\\\[/tex]
[tex]2)\ \ \ v=1087 \sqrt{ \frac{t}{273} } \ \ \ \Leftrightarrow\ \ \ v=1087 \cdot \frac{ \sqrt{t} }{273} \ /\cdot273\\\\273\cdot v=1087\cdot \sqrt{t} \ /:1087\\\\\sqrt{t}= \frac{\big{273\cdot v}}{\big{1087}} \ \ \ \Rightarrow\ \ \ (\sqrt{t})^2= (\frac{273\cdot v}{1087} )^2\\\\t= \frac{\big{273^2\cdot v^2}}{\big{1087^2}} \ \ \ \Rightarrow\ \ \ t=\frac{\big{74529\cdot v^2}}{\big{1,181,569}}[/tex]
[tex]2)\ \ \ v=1087 \sqrt{ \frac{t}{273} } \ \ \ \Leftrightarrow\ \ \ v=1087 \cdot \frac{ \sqrt{t} }{273} \ /\cdot273\\\\273\cdot v=1087\cdot \sqrt{t} \ /:1087\\\\\sqrt{t}= \frac{\big{273\cdot v}}{\big{1087}} \ \ \ \Rightarrow\ \ \ (\sqrt{t})^2= (\frac{273\cdot v}{1087} )^2\\\\t= \frac{\big{273^2\cdot v^2}}{\big{1087^2}} \ \ \ \Rightarrow\ \ \ t=\frac{\big{74529\cdot v^2}}{\big{1,181,569}}[/tex]
