determine x
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me ajudem pelo amor de Deusss
Anexos:
![](https://pt-static.z-dn.net/files/d84/d1289a0916161436f1317a7c3ddbe7d5.jpg)
Soluções para a tarefa
Respondido por
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Usaremos a lei dos senos:
![\frac{a}{sena} = \frac{b}{senb} \frac{a}{sena} = \frac{b}{senb}](https://tex.z-dn.net/?f=+%5Cfrac%7Ba%7D%7Bsena%7D+%3D+%5Cfrac%7Bb%7D%7Bsenb%7D+)
![\frac{5 \sqrt{2} }{sen {30}^{o} } = \frac{x}{sen {45}^{o} } \frac{5 \sqrt{2} }{sen {30}^{o} } = \frac{x}{sen {45}^{o} }](https://tex.z-dn.net/?f=+%5Cfrac%7B5+%5Csqrt%7B2%7D+%7D%7Bsen+%7B30%7D%5E%7Bo%7D+%7D+%3D+%5Cfrac%7Bx%7D%7Bsen+%7B45%7D%5E%7Bo%7D+%7D+)
![\frac{5 \sqrt{2} }{ \frac{1}{2} } = \frac{x}{ \frac{ \sqrt{2} }{2} } \frac{5 \sqrt{2} }{ \frac{1}{2} } = \frac{x}{ \frac{ \sqrt{2} }{2} }](https://tex.z-dn.net/?f=+%5Cfrac%7B5+%5Csqrt%7B2%7D+%7D%7B+%5Cfrac%7B1%7D%7B2%7D+%7D+%3D+%5Cfrac%7Bx%7D%7B+%5Cfrac%7B+%5Csqrt%7B2%7D+%7D%7B2%7D+%7D+)
Fazemos meio pelos extremos
![5 \sqrt{2} \times (\frac{ \sqrt{2} }{2}) = x \times ( \frac{1}{2} ) 5 \sqrt{2} \times (\frac{ \sqrt{2} }{2}) = x \times ( \frac{1}{2} )](https://tex.z-dn.net/?f=5+%5Csqrt%7B2%7D+%5Ctimes+%28%5Cfrac%7B+%5Csqrt%7B2%7D+%7D%7B2%7D%29+%3D+x+%5Ctimes+%28+%5Cfrac%7B1%7D%7B2%7D+%29)
![\frac{5 \sqrt{4} }{2} = \frac{x}{2} \frac{5 \sqrt{4} }{2} = \frac{x}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B5+%5Csqrt%7B4%7D+%7D%7B2%7D+%3D+%5Cfrac%7Bx%7D%7B2%7D+)
![\frac{5 \times 2}{2} = \frac{x}{2} \frac{5 \times 2}{2} = \frac{x}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B5+%5Ctimes+2%7D%7B2%7D+%3D+%5Cfrac%7Bx%7D%7B2%7D+)
Os denominadores se anulam, então "cortamos":
![x = 10 x = 10](https://tex.z-dn.net/?f=x+%3D+10)
Letra a)
Fazemos meio pelos extremos
Os denominadores se anulam, então "cortamos":
Letra a)
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