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Vsevolod [243]
3 years ago
7

Dan and Camille each have a gift card with a combined balance of $350.00. Dan spent 1/2 of his card balance while Camille spent

1/3 of her card balance. They are both left with an equal amount on their gift cards left. What are they left with.
Mathematics
1 answer:
dezoksy [38]3 years ago
3 0
It should be around $75
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We will use the sine and cosine of the sum of two angles, the sine and consine of \frac{\pi}{2}, and the relation of the tangent with the sine and cosine:

\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta&#10;&#10;\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta

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