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Zina [86]
3 years ago
8

Mark each of the following as true or false and explain how you know.

Mathematics
2 answers:
earnstyle [38]3 years ago
4 0
True
False
False
True

(I think)
Tamiku [17]3 years ago
3 0
1) True, -5 is left to 3 on a number line, therefore it is less than 3.
2) False, 3 is right to -5 on a number line, therefore it is greater than -5.
3) False, |-5| is equal to 5 and 5 is right to 3 on a number line, therefore |-5| is greater than 3.
4) True, |-5| is equal to 5 and 5 is right to 3 on a number line, therefore |-5| is greater than 3.

let me know if you have any questions :)
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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta
lapo4ka [179]

Answer:

\cos{\theta} = \frac{\sqrt{15}}{4}

Step-by-step explanation:

For any angle \theta, we have that:

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

Quadrant:

0 \leq \theta \leq \frac{\pi}{2} means that \theta is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

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

(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1

\frac{1}{16} + (\cos{\theta})^{2} = 1

(\cos{\theta})^{2} = 1 - \frac{1}{16}

(\cos{\theta})^{2} = \frac{16-1}{16}

(\cos{\theta})^{2} = \frac{15}{16}

\cos{\theta} = \pm \sqrt{\frac{15}{16}}

Since the angle is in the first quadrant, the cosine is positive.

\cos{\theta} = \frac{\sqrt{15}}{4}

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Do 1.50 divided by 3 to get the unit price.

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Answer step by step <br> please
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