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finlep [7]
3 years ago
11

What factor is paired with 10 to give 20?

Mathematics
1 answer:
matrenka [14]3 years ago
5 0
The factor is 2. Just think, what is 20 divided by 10? The answer is 2.
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r = 0

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SCORPION-xisa [38]

Answer:

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Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:

\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}

\displaystyle \cos 45^\circ=\frac{6}{y}

Solving for y:

\displaystyle y=\frac{6}{\cos 45^\circ}

\cos 45^\circ=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}

Substituting:

\displaystyle y=\frac{6}{\frac{1}{\sqrt{2}}}

y=6\cdot \sqrt{2}

Now use the tangent ratio:

\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 45^\circ=\frac{x}{6}

Solving for x:

x=6\cdot\tan 45^\circ

\tan 45^\circ=1

Substituting:

x=6\cdot 1

x =6

Answer:

x =6

y=6\cdot \sqrt{2}

6 0
3 years ago
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