Easy example that shows
:
Let
.
Then
.
So
, or
, and so
.
The basic idea is to find the period of the repeating decimal, move the
digits belonging to one period over to the left of the decimal point by multiplying by
, then subtract the original repeating decimal from this new number, and finally divide by
.
A slightly more complicated example:
Let
.
Then
.
Then
, or
<h3>Given Equation:</h3>
6 - 2n = -4n - 2 - 8
<h3>To Find:</h3>
The value of n.
<h3>Solution:</h3>
6 - 2n = -4n - 2 - 8
or, -2n + 4n = -2 - 8 - 6
or, 2n = -16
or, n = -16/2
or, n = -8
<h2>Answer:</h2>
The value of n is -8.
Answer:
A.
Step-by-step explanation:
The formula for the volume of a cylinder is the formula for the area of the circle, times the height of the cylinder. The formula for the volume of a circle is,
Multiply that by the height to find the formula for the volume of a cylinder,
Where (pi) represents the value (3.1415), (r) represents the radius, and (h) represents the height of the cylinder. Now substitute in the given values, remember, this problem gives the diameter of the cylinder, divide that value by two to find the radius.
Answer:
Area of the rectangle is increasing with the rate of 84 cm/s.
Step-by-step explanation:
Let l represents the length, w represents width, t represents time ( in seconds ) and A represents the area of the triangle,
Given,
Also, l = 12 cm and w = 4 cm,
We know that,
A = l × w,
Differentiating with respect to t,
By substituting the values,
Hence, the area of the rectangle is increasing with the rate of 84 cm/s.