Answer:
Step-by-step explanation:
A1. C = 104°, b = 16, c = 25
Law of Sines: B = arcsin[b·sinC/c} ≅ 38.4°
A = 180-C-B = 37.6°
Law of Sines: a = c·sinA/sinC ≅ 15.7
A2. B = 56°, b = 17, c = 14
Law of Sines: C = arcsin[c·sinB/b] ≅43.1°
A = 180-B-C = 80.9°
Law of Sines: a = b·sinA/sinB ≅ 20.2
B1. B = 116°, a = 11, c = 15
Law of Cosines: b = √(a² + c² - 2ac·cosB) = 22.2
A = arccos{(b²+c²-a²)/(2bc) ≅26.5°
C = 180-A-B = 37.5°
B2. a=18, b=29, c=30
Law of Cosines: A = arccos{(b²+c²-a²)/(2bc) ≅ 35.5°
Law of Cosines: B = arccos[(a²+c²-b²)/(2ac) = 69.2°
C = 180-A-B = 75.3°
Answer:
First blank is >=
Second blank is <=
Step-by-step explanation:
At least means the sign is greater than or equal to
No more than means the sign is less than or equal to
We are to find the value of
First we evaluate tan(π/4). The value of tan(π/4) is 1.
So,
sin(π/2) = 1
So,
Thus, we can write:
radians.
So, the answer to this question is π/2 radians.
Neither. A factor is when a number fits in to another number. For example, 6, 2, 12 and 1 are all factors of 12. A multiple again is when a number fits into a number but in a different way (2,4,6,8,10,12,14... are all multiples or 2)
24 and 36 both have common factors (12) which means that 12 is a factor of both of those numbers.
