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aliina [53]
3 years ago
15

Determine the length of AB​

Mathematics
1 answer:
Alex73 [517]3 years ago
7 0

Answer:

the answer is 2.

Step-by-step explanation:

How do I know this? well, those red arrows on the line show that those 2 sides (ED) and (AB) are congruent which means they are equal. therefore if they are equal and we know ED is 2, then we know AB is also 2. Hope this helped :)

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Find sin θ and cos θ if tan θ= 1/4 and sin 0>0.
Serga [27]

Answer:

\displaystyle \sin(\theta)= \frac{\sqrt{17}}{17}

\displaystyle \cos(\theta)= \frac{4 \sqrt {17} }{ 17 }

Step-by-step explanation:

We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.

First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.

Recall that tangent is the ratio of the opposite side to the adjacent side.

Therefore, the hypotenuse is:

h=\sqrt{4^2+1^2}=\sqrt{16+1}=\sqrt{17}

So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.

Then it follows that:

\displaystyle \sin(\theta)=\frac{1}{\sqrt{17}} = \frac{\sqrt{17}}{17}

And that:

\displaystyle \cos(\theta)= \frac{4}{\sqrt{17}} = \frac{4 \sqrt {17} }{ 17 }

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240

Step-by-step explanation:

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