Respuesta:
[tex]=\frac{251}{200}[/tex]
Explicación paso a paso:
[tex]\frac{\left(\frac{1}{2}+\frac{2}{5}\right)^2+\frac{3}{5}\times \frac{3}{2}+\frac{4}{5}}{\sqrt{\frac{16}{4}}}[/tex]
[tex]\frac{\left(\frac{1}{2}+\frac{2}{5}\right)^2+\frac{3}{5}\times \frac{3}{2}+\frac{4}{5}}{2}[/tex]
[tex]=\frac{\frac{9^2}{10^2}+\frac{9}{10}+\frac{4}{5}}{2}[/tex]
[tex]\frac{\frac{81}{100}+\frac{9}{10}+\frac{4}{5}}{2}[/tex]
[tex]=\frac{251}{100\times \:2}\\[/tex]
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Verified answer
Respuesta:
[tex]=\frac{251}{200}[/tex]
Explicación paso a paso:
[tex]\frac{\left(\frac{1}{2}+\frac{2}{5}\right)^2+\frac{3}{5}\times \frac{3}{2}+\frac{4}{5}}{\sqrt{\frac{16}{4}}}[/tex]
[tex]\frac{\left(\frac{1}{2}+\frac{2}{5}\right)^2+\frac{3}{5}\times \frac{3}{2}+\frac{4}{5}}{2}[/tex]
[tex]=\frac{\frac{9^2}{10^2}+\frac{9}{10}+\frac{4}{5}}{2}[/tex]
[tex]\frac{\frac{81}{100}+\frac{9}{10}+\frac{4}{5}}{2}[/tex]
[tex]=\frac{251}{100\times \:2}\\[/tex]
[tex]=\frac{251}{200}[/tex]