\[\boxed{\mathbf{1306.еуроки - ответы\ на\ пятёрку}}\]
\[\frac{F_{1}}{F_{2}} = k.\]
\[S_{1}\] | \[27\ см^{2}\] | \[640\ см^{2}\] | \[24\ дм²\] | \[24\ см^{2}\] | \[4a^{3}\ см^{2}\] |
---|---|---|---|---|---|
\[S_{2}\] | \[3\ см^{2}\] | \[160\ см^{2}\] | \[54\ дм^{2}\] | \[6\ мм^{2}\] | \[4a^{2}\ см^{2}\ \] |
\[k\] | \[3\] | \[2\ \] | \[\frac{2}{3}\] | \[20\] | \[\sqrt{a}\] |
\[1)\ \frac{S_{1}}{S_{2}} = \frac{27}{3} = 9\]
\[k = \sqrt{9} = 3.\]
\[2)\ k = 2;\]
\[\frac{S_{1}}{S_{2}} = 4;\]
\[S_{2} = 640\ :4 = 160.\]
\[3)\ \ \frac{S_{1}}{S_{2}} = \frac{4}{9}\]
\[S_{1} = 54 \cdot \frac{4}{9} = 24.\]
\[4)\ 24\ см^{2} = 2400\ мм^{2}\]
\[\frac{S_{1}}{S_{2}} = \frac{2400}{6} = 400;\]
\[k = \sqrt{400} = 20.\]
\[5)\ \frac{S_{1}}{S_{2}} = a;\]
\[S_{1} = 4a^{2} \cdot a = 4a^{3}.\]