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gavmur [86]
4 years ago
6

How is the number 124,908 written in Scientific Notation? Show your work.

Mathematics
1 answer:
allochka39001 [22]4 years ago
3 0

Answer:

1.24908 × 105

Step-by-step explanation:

1.24908e5

= 124.908 × 103

= 124908

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Which is the simplified rational expression for 13k+9 _ 3k-7 _ 4k+32<br>2k​
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N/4 &lt; -1 on a number line<br> -10x&gt;-100 on a number line <br> 5x&gt;20 on a number line
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4 0
3 years ago
Given that sectheta = -37/12 what is the value of cottheta for pi/2 &lt; theta&lt; pi?
lys-0071 [83]

Answer:

cotg(\theta) = -\frac{12}{35}

Step-by-step explanation:

The cotangent of theta is:

cotg(\theta) = \frac{\cos{\theta}}{\sin{\theta}}

For pi/2 < theta< pi

This means that the angle is in the second quadrant. In the second quadrant, the cosine is negative and the sine is positive. This means that the cotangent will be negative.

Secant:

sec(\theta) = \frac{1}{\cos{\theta}}

In this question

sec(\theta) = -\frac{37}{12}

So

-\frac{37}{12} = \frac{1}{\cos{\theta}}

Using cross multiplication

-37\cos{\theta} = 12

37\cos{\theta} = -12

\cos{\theta} = -\frac{12}{37}

Now we apply the following trigonometric identity:

\sin{\theta}^{2} + \cos{\theta}^{2} = 1

\sin{\theta}^{2} + (-\frac{12}{37})^{2} = 1

\sin{\theta}^{2} = 1 - (-\frac{12}{37})^{2}

\sin{\theta}^{2} = 1 - \frac{144}{1369}

\sin{\theta}^{2} = \frac{1369 - 144}{1369}

\sin{\theta} = \pm \sqrt{\frac{1225}{1369}}

Since the angle is in the second quadrant, the sine is positive.

\sin{\theta} = \frac{35}{37}

Finally, the cotangent:

cotg(\theta) = \frac{\cos{\theta}}{\sin{\theta}}

cotg(\theta) = \frac{-\frac{12}{37}}{\frac{35}{37}}

cotg(\theta) = -\frac{12}{35}

4 0
4 years ago
Read 2 more answers
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