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notka56 [123]
3 years ago
8

What is the 20th term of the sequence that begins -5,15,-45, 135. ?

Mathematics
1 answer:
larisa [96]3 years ago
6 0
The 20th term in the sequence should be 5811307335.
Hope I didn't mess up for your sake
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Answer:

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Step-by-step explanation:

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Find the value of y.
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\boxed{y=6\sqrt{3}}

<h2>Explanation:</h2>

For a better understanding of the problem I've built up two triangles from the given triangular shape. So these two triangles are similar. Therefore, we can solve this problem by using ratios and corresponding sides in this way:

\frac{x}{3}=\frac{12}{x} \\ \\ x^2=36 \\ \\ x=\sqrt{36} \\ \\ x=6

But our goal is to find y. Let's call w the height of the small triangle, then:

w=\sqrt{6^2-3^2}=3\sqrt{3}

Applying the concept of ratios again:

\frac{y}{w}=\frac{x}{3} \\ \\ y=w \left(\frac{x}{3}\right) \\ \\ y=3\sqrt{3}\left(\frac{6}{3}\right) \\ \\ \boxed{y=6\sqrt{3}}

<h2>Learn more:</h2>

Right triangle: brainly.com/question/10684799

#LearnWithBrainly

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What is the value of x in x2-3x=28
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Answer:

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gina saved $14

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3 years ago
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