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Vika [28.1K]
3 years ago
6

Find sin 0, where is the angle shown. Give an exact value, not a decimal approximation.

Mathematics
1 answer:
Nata [24]3 years ago
3 0

Answer:

\displaystyle \sin\theta=\frac{12}{13}

Step-by-step explanation:

Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:

\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}

We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:

a^2+b^2=c^2

Let <em>a</em> be the adjacent side and <em>b</em> be the opposite side. <em>c</em> will be the hypotenuse.

Substitute:

(5)^2+b^2=(13)^2

Solve for <em>b: </em>

<em />b=\sqrt{169-25}=\sqrt{144}=12<em />

So, the opposite side measures 12.

Then sine will be:

\displaystyle \sin\theta=\frac{12}{13}

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Answer:

40 drops

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Step-by-step explanation:

It would be easier to work the same units for volume

Since there are 1000 ml in a liter

Original water volume 1.2 L = 1.2 x 1000 = 1200 mLl

The final volume of the acid-water solution = 1.202 L = 1202 mL

So total volume of acid added = 1202-1200 = 2 mL

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Number of drops added = 2/.05 = 40 drops

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An equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

In this question, there was a depth of 10 inches of snow on the lawn when the storm ended and then it started a melting at a rate of 2 inches per hour.

We need to write an equation for S in terms of t, snow representing the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling.

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