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ioda
3 years ago
12

Find the length of the third side to the nearest tenth.

Mathematics
1 answer:
malfutka [58]3 years ago
5 0

Answer:

The answer to your question is  b = 9.5

Step-by-step explanation:

Data

hypotenuse = 10

leg 1 = 3

Process

1.- To solve this problem use the Pythagorean theorem.

             c² = a² + b²

c = hypotenuse = 10

a = 3

b = x

2.- Solve for b

              b² = c² - a²

3.- Substitution

              b² = 10² - 3²

4.- Simplification

               b² = 100 - 9

               b² = 91

5.- Result

               b = 9.5

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Which of the following is most likely the next step in the series?<br>​
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Fed [463]

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  • 6
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Step-by-step explanation:

You can rewrite the given log expressions to express them in terms of ln(a), ln(b), and ln(c). Then substituting the given values will produce the value of the expression.

Or, you can define the variables 'a', 'b', and 'c' and let your calculator compute these directly.

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<h3>1.</h3>

  \ln\left(\dfrac{a^4}{b^4c^{-2}}\right)=4\ln(a)-(4\ln(b)-2\ln(c))=4\cdot2-4\cdot3+2\cdot5=\boxed{6}

<h3>2.</h3>

  \ln\left(\sqrt{b^{-2}c^4a^2}\right)=\dfrac{1}{2}\left(-2\ln(b)+4\ln(c)+2\ln(a)\right)=\ln(a)-\ln(b)+2\ln(c)\\\\=2-3+2\cdot5=\boxed{9}

<h3>3.</h3>

  \dfrac{\ln(a^1b^2)}{\ln(bc)^2}=\dfrac{\ln(a)+2\ln(b)}{(\ln(b)+\ln(c))^2}=\dfrac{2+2\cdot3}{(3+5)^2}=\dfrac{8}{64}=\boxed{\dfrac{1}{8}}

<h3>4.</h3>

  \ln(c^{-2})\left(\ln\dfrac{a}{b^{-3}}\right)^{-1}=\dfrac{-2\ln(c)}{\ln(a)-(-3)\ln(b)}=\dfrac{-2(5)}{2+3\cdot3}=\boxed{-\dfrac{10}{11}}

_____

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7 0
2 years ago
What are the factors of the expression? 6/7cd
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8 0
4 years ago
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Answer:

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Hence

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3 years ago
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