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Anna [14]
3 years ago
11

Convert 8.132132132... to a rational expression in the form of a fraction

Mathematics
1 answer:
kow [346]3 years ago
6 0

Let <em>x</em> = 8.132132132... .

Then 1000<em>x</em> = 8132.132132132... .

Subtracting <em>x</em> from 1000<em>x</em> eliminates the fractional part, leaving you

999<em>x</em> = 8132 - 8 = 8124

Then

<em>x</em> = 8124/999 = 2708/333

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PLEASE HELP
irina [24]

Answer:

12\sqrt{3} feet

Step-by-step explanation:

In a 30-60-90 triangle, the ratios of the side lengths of the triangle is 1:\sqrt{3} :2

Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.

First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

\frac{x}{3} * \sqrt{3} = \frac{\sqrt{3} x}{3} = 12

Solving for x, we find that

x=\frac{36}{\sqrt{3} } = \frac{36 * \sqrt{3} }{\sqrt{3} * \sqrt{3} } = \frac{36  \sqrt{3} }{3} = 12\sqrt{3}

So the length of the original pole would be 12\sqrt{3} feet

If you found this answer helpful, please consider marking it as brainliest, or give it a thanks and a 5 star review. Thanks!

6 0
3 years ago
What is 28% of 50? <br><br> SHOW YOUR WORK PLEASE!
miv72 [106K]

Answer:

14

Step-by-step explanation:

.28 times 50 equals 14

7 0
3 years ago
What are the dangers of having overdraft protection?
Oksanka [162]
Your bank can charge you a overdraft fee, it can effect your credit score <span>if you sign up for </span>overdraft <span>protection on the account.</span>  
4 0
4 years ago
A linear function, f, has an x-intercept at (5,0) and a y-intercept at (0,3). Which best describes the shape of the graph of thi
svet-max [94.6K]
<span>As x approaches positive infinity, f(x) approaches negative infinity, since the graph goes down</span>

4 0
3 years ago
Read 2 more answers
A car is traveling at a speed of 79 feet per second. (a) what is its speed in kilometers per hour?
AysviL [449]
79 ft/s = 0.0240792 km/s

0.0240792 x 60 = 1.444752 km/minute
<span>1.444752 x 60 = </span><span>86.68512 km/hour
</span>
Ans: 86.69 km/h
6 0
3 years ago
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