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viva [34]
3 years ago
6

Which best explains why |-4| = 4?

Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

Answer:

The Answer is C, because -4 is 4 units away from 0

Step-by-step explanation:

The signs | | tells us directly how far a number is from zero. This is represented by said number

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Given:

\cos 15^{\circ}

To find:

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$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}

Using half-angle identity:

$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}

$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}

Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

            $=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}

Let us first solve the fraction in the numerator.

            $=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}

Using fraction rule: \frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}

            $=\sqrt{\frac {2+\sqrt{3}}{4}}

Apply radical rule: \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

           $=\frac{\sqrt{2+\sqrt{3}}}{2}

$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}

5 0
4 years ago
How do you do this? It's geometry
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Stacey earns $15 each week plus $.50 for each customer on her paper route.she wants to earn at least $25 each week. What equatio
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Step-by-step explanation:

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Step-by-step explanation: you only need to add zero to the first value,

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as you finish add zeros you can add a point and after the 1 getting this result

1/10 = 0.1

 

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3 years ago
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