Answer:
-0.9090... can be written as
.
Explanation:
Any <em>repeating </em>decimal can be written as a fraction by dividing the section of the pattern to be repeated <em>by </em>9's.
We can start by listing out
0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now. we let this series be equal to x, that is
= 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now, we'll multiply both sides by 100
.
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...
Then, subtract the 1st equation from the second like so:
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
= - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...
And we end up with this:

Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.

Which can be reduced and simplified to

Hope this helps!
Answer:
Approximately 23.6
Step-by-step explanation:
So first find the fraction of the whole circumference the arc is.
270 ÷ 360 = 0.75
The circumference is 10π
0.75 * 10π = 7.5π
7.5π = 23.5619449019 ≈ 23.6
Answer:
the answer is 12x2 mskksksns
Answer:
i dont know, ive never learned this haha. i sat here for at least 45-50 minutes trying to figure it out. sorry :/
Step-by-step explanation:
Answer:
Well, technically it's the distributive property, but since that's not on here, and technically it's multiplying so. Multiplying property.
Step-by-step explanation:
Well, technically it's the distributive property, but since that's not on here, and technically it's multiplying so. Multiplying property.