Option B. 13π/6 and Option D. 5π/6
To get the reference angle π/6 for the given angles we will check each angle given in the options.
A. 8π/6
Since 8π/6 means 240° which lies in 3rd quadrant. Therefore reference angle of 240°= 240-180 = 60° or π/3
B. 13π/6
13π/6 means 390° which lies in first quadrant.
Therefore reference angle = 390-360 = 30° or π/6
C. 3π/6
Since 3π/6 means 90° therefore reference angle of 90° is the same as 90°.
Or the reference angle is = π/2
D. 5π/6
5π/6 means angle is 150° which lies in second quadrant therefore reference angle of 150° = 180-150 = 30° or π/6
answer is Option B and D.
Answer:
x = -5, y = -6, z = -3
Step-by-step explanation:
Given the system of three equations:

Write the augmented matrix for the system of equations

Find the reduced row-echelon form of the augmented matrix for the system of equations:

Thus, the system of three equations is

From the last equation:

Substitute it into the second equation:

Substitute y = -6 and z = -3 into the first equation:

Answer:
30 and 9
Step-by-step explanation:
x+y=39 , x-y=21
Solve for x:
x+y=39 , x-y=21
x= 30
Substitute x with 30:
(30)+y=39 , (30)-y=21
Solve for y:
y=9
<h2>
Hello!</h2>
The answer is:
The fabric will cost $4.58
D.$4.58
<h2>Why?</h2>
Since it's a conversion exercise, we need to pay special attention to the conversion procedure.
From the statement we know that:

So, if she needs 10 feet of fabric, we need to convert it to meters, and then, calculate its cost.
We have that:

Now, we have that each meter of fabric cost $1.50, so, 3.05m of fabric will cost:

Hence, we have that the cost of the fabric will be $4.58.
The correct option is: D.$4.58
Have a nice day!
Answer:
Whats the question?
Step-by-step explanation: