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nika2105 [10]
3 years ago
11

How many units of a 10% solution are needed to prepare 500 units of a 2% solution?

Mathematics
1 answer:
Akimi4 [234]3 years ago
8 0
First find how many units of solution there is:

500* 2% = 500(.02) = 10 units

You need 10 units of solution in 'x' units of a 10% solution.

x*10% = 0.1x = 10 units   ----->  x = 10/0.1 = 100

100 units are needed
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Answer:

3/2

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\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\

Use \cot^2x=\csc^2x-1=\frac{1}{\sin^2x}-1

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Answer:

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Step-by-step explanation:

Coterminal angles are angles in standard positions having thesame terminal .

Coterminal angles are always negative and positive.

For example:

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30 - 360 = -330

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Therefore, -330 and 390 are coterminal.

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The angles between 0 -360 coterminal to -110 is 250.

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