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3 years ago

Please help me solve this ;-;

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

9514 1404 393

Answer:

C log3(√((x -4)/x)

Step-by-step explanation:

The applicable rules of logarithms are ...

log(a/b) = log(a) -log(b)

log(a^n) = n·log(a)

The base is irrelevant, as long as all logs are to the same base.

$\dfrac{1}{2}(\log_3{(x-4)}-\log_3{(x)})=\dfrac{1}{2}\log_3(\dfrac{x-4}{x})=\boxed{\log_3\left(\sqrt{\dfrac{x-4}{x}}\right)}$

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2 years ago

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Arte-miy333 [17]

Answer:

Answer is option d)346.4 ft

Step-by-step explanation:

$from \: the \: figure \\ AB = 300 \: ft \: \: \: angle \: C = 60 \:( theta)\: degress \\ in \: triangle \: ABC \: using \: tan \: theta\\ \tan(60) = \frac{opposite \: side}{adjacent \: side} \\ \tan(60) = \frac{300}{BC} \\ \sqrt{3} = \frac{300}{BC} \\ BC = \frac{300}{ \sqrt{3} } \\ BC = 100 \sqrt{3} ft \\ then \: in \: triangle \: ABD \: using \: tan \: theta \\ angle \: D = 30 \: degrees \: (theta) \\ \tan(30 ) =\frac{opposite \: side}{adjacent \: side} \\ \tan(30) = \frac{300}{BD} \\ \frac{1}{ \sqrt{ 3} } = \frac{300}{BD} \\ BD = 300 \sqrt{3} \\ CD = BD - BC \\ = 300 \sqrt{3 } - 100 \sqrt{3} \\ = (300 - 100) \sqrt{3} \\ = 200 \sqrt{3 } \\ = 200 \times 1.732 \\ = 346.4 \: ft$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

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Step-by-step explanation:

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2 years ago

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viktelen [127]

Answer:

e = 7.5

Step-by-step explanation:

Hi,

15 = e/0.5

You need to find what e equals. To do that, you need e all by itself. So to get e by itself in this equation, you need to multiply by 1/2 (same thing as 0.5). 15 x 0.5 is equal to 7.5.

To check your work, 7.5/0.5 is equal to 15.

So you know it's correct.

I hope this helps you :)

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