We have the following expression:
(27a ^ 3-1) / (9a ^ 2-6a + 1)
Rewriting we have:
(27a ^ 3-1) / (9a ^ 2-6a + 1)
(27a ^ 3-1) / ((3a-1) * (3a-1))
We exclude the values that make the denominator zero:
3a-1 = 0
a = 1/3
Answer:
a valid exclusion for the algebraic fraction is:
c. a ≠ 1/3
Answer:
To find the circumference
diameter x 3.14 = circumference
We can undo the multiplication and divide to get the diameter
37.68 /3.14 = 12
diameter / 2= radius
12 / 2 = 6
the radius is 6
radius x radius x pi = area
6 x 6 x 3.14 = 113.04
113.04 is the answer
Hope this helps
Step-by-step explanation:
Answer:
or exact is −0.70710678...
Step-by-step explanation:
Getting the point!
- If we look at the unit circle and we find
we see it is in the 3rd quadrant. - We know that all points in the 3rd quadrant have both negative x and negative y values.
- We know that all radians with the base of 4 on the unit circle have the points of
- Because we are in the 3rd quadrant and both x and y are negative we know the point of
is 
Finding the sin!
- Because we know that sin is asking us for the y value
- We can just look at the point and find the y value!
- the y value is

- Because this fraction does not need to be rationalized we are good!
- Use a calculator to find the exact value and you get -0.70710678...
- The final answer is
or exact is −0.70710678...
Hope this helps!! Please mark Brainliest!
The expression of the decimal 0.139 in fraction form of p/q gives; 139/1000
<h3>How to convert decimal to fraction?</h3>
We are given the decimal 0.139.
Now, when we want to convert to fraction, it means we want the decimal expression to have a numerator and a denominator.
Thus;
0.139 can also be expressed as; 139/1000
Therefore, the expression of the decimal 0.139 in fraction form of p/q gives; 139/1000
Read more about decimal to fraction at; brainly.com/question/1640190
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In similar triangles the ratio of the corresponding sides is equal.
Therefore in this case; the two triangles are similar;
hence;
5 in/ 15 in = 8 in / x
Where x is the unknown side
x= (8 × 15)/5
= 120/5
= 24 in
Therefore, the value of x is 24 inches