There are a couple of different approaches you can use for this. Here's one.
1. Determine how many digits repeat. (There is just one repeating digit.)
2. Call your number x. Multiply x by 10 to the power of the number of digits found in step 1.
![x = 0.8\overline{3}\\10^{1}x=8.3\overline{3}](https://tex.z-dn.net/?f=x%20%3D%200.8%5Coverline%7B3%7D%5C%5C10%5E%7B1%7Dx%3D8.3%5Coverline%7B3%7D)
3. Subtract the original number, then solve for x.
![10x-x=9x=8.3\overline{3}-0.8\overline{3}=7.5\\\\x=\dfrac{7.5}{9}=\dfrac{5}{6}](https://tex.z-dn.net/?f=10x-x%3D9x%3D8.3%5Coverline%7B3%7D-0.8%5Coverline%7B3%7D%3D7.5%5C%5C%5C%5Cx%3D%5Cdfrac%7B7.5%7D%7B9%7D%3D%5Cdfrac%7B5%7D%7B6%7D)
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If you recognize that 0.333... (repeating) is 1/3, then you know that 0.0333... (repeating) is 1/10×1/3 = 1/30. Add that to 0.8 = 4/5 and you get
... 4/5 + 1/30 = 24/30 + 1/30 = 25/30 = 5/6
Answer:
Step-by-step explanation:
Kindly share the exact question
Answer: ![AC=41\°](https://tex.z-dn.net/?f=AC%3D41%5C%C2%B0)
Step-by-step explanation:
<h3>
The complete exercise is attached.</h3>
For this exercise it is important to remember that, by definition, if an angle formed by two intersecting chords has its vertex on a circle, this is called an "Inscribed angle".
The following formula is used to calculate the measure of an Inscribed angle:
![Inscribed\ angle = \frac{1}{2}\ Intercepted\ Arc](https://tex.z-dn.net/?f=Inscribed%5C%20angle%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5C%20Intercepted%5C%20Arc)
You can identify in the figure that:
![Inscribed\ angle=ABC=(4x -3.5)\\\\Intercepted\ Arc=AC=(4x + 17)](https://tex.z-dn.net/?f=Inscribed%5C%20angle%3DABC%3D%284x%20-3.5%29%5C%5C%5C%5CIntercepted%5C%20Arc%3DAC%3D%284x%20%2B%2017%29)
Then you can substitute values into the formula and solve for "x":
![(4x -3.5)= \frac{1}{2}(4x + 17)\\\\8x-7=4x+17\\\\4x=24\\\\x=6](https://tex.z-dn.net/?f=%284x%20-3.5%29%3D%20%5Cfrac%7B1%7D%7B2%7D%284x%20%2B%2017%29%5C%5C%5C%5C8x-7%3D4x%2B17%5C%5C%5C%5C4x%3D24%5C%5C%5C%5Cx%3D6)
Then, AC is:
![AC=(4(6)+ 17)\\\\AC=24+17\\\\AC=41\°](https://tex.z-dn.net/?f=AC%3D%284%286%29%2B%2017%29%5C%5C%5C%5CAC%3D24%2B17%5C%5C%5C%5CAC%3D41%5C%C2%B0)
It would be $947.50 because you would multiply $189.50 by 0.05.
Answer:
9-6.92820323i Nothing else can be done.
Step-by-step explanation:
-48 is not a perfect square but 81 is a square. When you try to square -48 it comes to be 6.92820323i.