Using the cosine function:

Solve for b:
Answer:

Step-by-step explanation:
To calculate the angles of the given triangle, we can use the law of cosines:

Then, given the sides a=2, b=9, and c=8.

For B:

Answer:
6 square feet
Step-by-step explanation:
Carpet has w= 8 ft and l = 12 ft
Reduced carpet has w' = 2 ft
<u>Reduction factor is </u>
<u>Then </u>
<u>Area of small carpet</u>
Answer:
The phase difference between yA and yB is
Step-by-step explanation:
Given harmonic modeled as :
yA = 8 sin(2t -
) And
yB = 8 sin(2t -
)
The function as written as :
y = a sin(ωt - Ф) where Ф is phase difference
So , phase difference between yA and yB = ( Ф_1 - Ф_2 )
Or phase difference between yA and yB = ( -
+
)
Or, phase difference between yA and yB = 
I.e phase difference between yA and yB =
Hence The phase difference between yA and yB is
Answer
Add them. Pentagram interior angle is 540. 105+101+112+113=431. 540-431=109 Hence, 109 is the answer. Please brainliest.