<h3>
Answers: </h3><h3>
a = 4</h3><h3>
b = 11</h3><h3>
The fraction is 4/11</h3>
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Work Shown:
Let x = 0.363636...
The "36" pattern goes on forever as indicated by the three dots.
Multiply both sides by 100 to get 100x = 36.363636...
Effectively, multiplying by 100 moves the decimal point over 2 spots to the right. The "36" goes on forever here too. The key is to match up the infinite sequences of "36"s and cancel them out through subtraction
36.363636... - 0.363636... = 36
while
100x - x = 99x
So after subtracting the equations, we end up with 99x = 36
From here we solve for x by dividing both sides by 99 and reducing the fraction
99x = 36
x = 36/99
x = (9*4)/(9*11)
x = 4/11
As a check, use your calculator to find that
4/11 = 0.36363636...
so the answer is confirmed
Note: your calculator may display something like 0.3636363636364, that 4 should not be there. It's a result of rounding (due to the next digit being a 6). Keep in mind that rounding error is often a possibility when it comes to approximate calculations. The calculator only has so much memory and display space.
Y=2x-3
Hope this helps. :)
A cold wave - a series of cold days in terms of weather; a physical wave that is given by someone with a "cold" demeanor.
A fair day- a day with nice, mild weather; making a modest amount of money in a days work.
hope those help.
A^2+b^2=c^2 (Pythagoran theorem)
-> 30^2 + length^2 = 78^2
-> length = √6084-900 = <span>√5184 = 72 ft
=> area = length x width = 72 x 30 = 2160 ft^2</span>
