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3 years ago

11

Margie's car can go 3232 miles on a gallon of gas, and gas currently costs $4$4 per gallon. How many miles can Margie drive on $

20$20 worth of gas?

1 answer:

vaieri [72.5K]3 years ago

4 0

She should be able to drive 160 miles

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If cosx=1/12 and sinx>0 find tan2x

Liono4ka [1.6K]

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$tan2x=\frac{sin2x}{cos2x}\\\\sin2x=2sinxcosx;\ cos2x=cos^2x-sin^2x\\\\sin2x=2\cdot\frac{\sqrt{143}}{12}\cdot\frac{1}{12}=\frac{2\sqrt{143}}{144}\\\\cos2x=\left(\frac{1}{12}\right)^2-\left(\frac{\sqrt{143}}{12}\right)^2=\frac{1}{144}-\frac{143}{144}=-\frac{142}{144}\\\\tan2x=\frac{2\sqrt{143}}{144}:\left(-\frac{142}{144}\right)=-\frac{2\sqrt{143}}{144}\cdot\frac{144}{142}=-\frac{\sqrt{143}}{71}$

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3 years ago