Answer:
The answer to your question is:
Question 4. First option
Question 5 First option
Last question, I think is the third option
Explanation:
Question 4
A = 120°
a = 7
b = 4
sin A / a = sin B / b
sin B = bsin A / a
sin B = 4 sin120/ 7
sin B = 0.49
B = 29.7 °
C = 180 - 120 - 29.7 = 30.3 °
c/ sinC = a/sinA
c = asinC/sinA
c = 7sin30.3/sin120
c = 4.1
Question 5
Law of cosines
cos C = (c² - a² - b²) / 2ab
cos C = (14² - 10² - 11²) / - 2(10)(11)
cos C = -25 / -220
cos C = 0.11
C = 83.5
sinA / a = sinC/c
sinA = asinC/c
sinA = 10 sin 83.5 / 14
sin A = 0.70
A = 45.2
B = 180 - 83.5 - 45.2
B = 51.3°
Last question
I consider is the third option