Answer:
Answer a: mST=20
Answer b: mST=48
Step-by-step explanation:
Problem a:
3a-5=2a+50
a=55
2(55)+50=160
180-160=20
Problem b:
180=4c-12
192=4c
48=c
1/5 of $60 is $12.
Therefore, 2/5 of $60 is $24.
If the price of tickets increased by 2/5 during the World Series, then during the World Series a ticket would've cost $60+$24=$84.
Answer: 
<u>Step-by-step explanation:</u>
It is given that θ is between 270° and 360°, which means that θ is located in Quadrant IV ⇒ (x > 0, y < 0). Furthermore, the half-angle will be between 135° and 180°, which means the half-angle is in Quadrant II ⇒
It is given that sin θ =
⇒ y = -7 & hyp = 25
Use Pythagorean Theorem to find "x":
x² + y² = hyp²
x² + (-7)² = 25²
x² + 49 = 625
x² = 576
x = 24
Use the "x" and "hyp" values to find cos θ:
Lastly, input cos θ into the half angle formula:

Reminder: We previously determined that the half-angle will be negative.
Basically, you are looking for the ARC SINE of .994 which is
83.72 Degrees
You could also use an online calculator:
http://www.1728.org/trigcalc.htm