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lutik1710 [3]
3 years ago
8

You have 8 cups of flour. A recipe calls for 2/3cup of flour. Another recipe calls for 1/4 cup of flour. How much flour do you h

ave left after making the recipes?
Mathematics
1 answer:
Sonja [21]3 years ago
6 0
There will be 5 more because 8-2-1 =5
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27 hours is the most the installer can work before going over Elliot's budget hope this helps :D


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\bf r=\sqrt{(-6)^2+(6\sqrt{3})^2}\implies r=\sqrt{36+(6^2\cdot 3)}\implies r=\sqrt{144}&#10;\\\\\\&#10;r=12\leftarrow &#10;\\\\\\&#10;\theta =tan^{-1}\left( \frac{6\sqrt{3}}{-6} \right)\implies \theta =tan^{-1}\left( -\sqrt{3}\right)\implies \theta =&#10;\begin{cases}&#10;\frac{2\pi }{3}\leftarrow \\&#10;\frac{5\pi }{3}&#10;\end{cases}

now, notice, there are two valid angles for such a tangent, however, if we look at the complex pair, the "a" is negative and the "b" is positive, that means, "x" is negative and "y" is positive, and that only occurs in the 2nd quadrant, so the angle is in the second quadrant, not on the fourth quadrant.

thus         \bf 12\left[cos\left( \frac{2\pi }{3} \right) +i\ sin\left( \frac{2\pi }{3} \right) \right]
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find your points

Step-by-step explanation:

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