How to estimate the quotient of 49.3 divided by 6
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Answer:
<h3>The length of y is 62.82 cm.</h3>Step-by-step explanation:
We are given a right triangle with an angle 30°.
Opposite side of angle 30° is x and adjacent side is y.
Also, given length of side x=36.25 cm.
In order to find the value of y, we need to apply tangent trigonometrical ratio.
We know,
Therefore,
Plugging values of and x=36.25, we get
Plugging value of in above equation, we get
On multiplying both sides by y, we get
0.577y=36.25
Dividing both sides by 0.577, we get
y=62.82
<h3>Therefore, the length of y is 62.82 cm.</h3>
An alternating series 
converges if 
is monotonic and 
as 
. Here 
.
Let
. Then 
, which is positive for all 
, so 
is monotonically increasing for . This would mean 
must be a monotonically decreasing sequence over the same interval, and so must 
.
Because is monotonically increasing, but will still always be positive, it follows that as .
So, converges.
Let
Because
So,