| Resolviendo: Convirtiendo a sexagesimal |
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En la primera expresión, se sabe que $\pi=180^{\circ}$ |
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$=\dfrac{3\pi\,rad}{8}$ |
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$=\dfrac{3 \times 180^{\circ}}{8}$ |
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$=67,5^{\circ}$ |
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En la segunda expresión: |
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$\dfrac{S}{360^{\circ}}=\dfrac{C}{400^g}$ |
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$\dfrac{S}{36^{\circ}}=\dfrac{C}{40^g}$ |
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$S=\dfrac{9^{\circ} C}{10^g}$ |
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Reemplazando el valor dado |
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$S=\dfrac{9^{\circ} (65^g)}{10^g}$ |
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$S=58,5^{\circ}$ |
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Calculando $E$ |
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$E=\dfrac{\dfrac{3\pi\,rad}{8}+65^g}{8}$ |
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$E=\dfrac{67,5^{\circ}+58,5^{\circ}}{8}$ |
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$E=\dfrac{126^{\circ}}{8}$ |
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$E=15,75^{\circ}$ |
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Convirtiendo los decimales a minutos(') |
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Se sabe que $^{\circ} = 60'$ |
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Entonces: $0,75 \times 60'$ |
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$45'$ |
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Entonces |
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$E=15,75^{\circ}$ |
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$E=15^{\circ}45'$ |
| Respuesta: |
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La solución es la Alternativa E |
