Question

Ayuda porfa
Calcular:

Answer 1

Respuesta:

Explicación paso a paso:

$\texttt{Habr\'a que convertir grados a radianes}\\\texttt{o radianes a grados,entonces:}\\\\\pi\,rad=180^{\circ}\\\\1\,rad=\frac{180^{\circ}}{\pi}\\\\180^{\circ}=\pi\,rad\\40^{\circ}=x\,rad\\\\x=\frac{40^{\circ}\,rad}{180^{\circ}\,rad}\\\\x=\frac{2}{9}\,\pi$

$18^{\circ}\\\\180^{\circ}=\pi\,rad\\18^{\circ}=x\,rad\\x=\frac{18^{\circ}\,\pi\,rad}{180^{\circ}\,rad}\\x=\frac{1}{10}\,\pi$

$E=\frac{\frac{2\,\pi}{5}-\frac{2\,\pi}{9}}{\frac{\pi}{10}}=\frac{\frac{8}{45\,\pi}}{\frac{\pi}{10}}=\\\\E=\frac{(8)(10)\,pi}{(45)(\pi)}\\\\E=\frac{80}{45}=\frac{16}{9}$

Saludos.