The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.
<h3>What is trigonometry?</h3>
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Angle θ is in standard position.
If sin(θ) = − 1/3 , and π < θ < 3π/2
Then the angle will be

Then add 180 degrees, then we have

Then the value of the cosine will be

More about the trigonometry link is given below.
brainly.com/question/22698523
Answer:
Percentage Calculator: 18 is what percent of 53? = 33.96.
Step-by-step explanation:
that is your answer
The augmented matrix is,

We have given system of linear equation is,

<h3>What is the meaning of augmented matrix?</h3>
In an augmented matrix, each row represents one equation in the system and each column represents coefficients (with signs) of variables or the constant terms.
So, the first row is

the second row is

and the third row is

Therefore the augmented matrix for this linear system is,

To learn more about the augmented matrix visit:
brainly.com/question/14600951
Answer:
Negative five is in fact a rational number.
Step-by-step explanation:
Rational numbers can either be negative or positive. An irrational number would be pi (3.14159 etc.)