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26-06-2017
Mathematics

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Solve [tex] \sqrt{3} = \frac{h}{h - 3000} [/tex]

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mathmate mathmate

26-06-2017

[tex]\sqrt{3}(h-3000)=h[/tex]
[tex](\sqrt{3}h-\sqrt{3}(3000)=h[/tex]
[tex](\sqrt{3}-1)h=\sqrt{3}(3000)[/tex]
[tex]h=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}[/tex]
[tex]=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}[/tex]
[tex]=7098.076[/tex] (approximately)

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