Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
Answer:
y=27 and x=9
Step-by-step explanation:
the ratio is 4 to 3
107........,...............
Answer:
1. The probability that the T-shirt will be grey :-
=》
=》
=》
hence, the probability of grey t-shirt is 0.1
2. The probability that the T-shirt will not be red :-
=》
=》
=》
=》
The probability that the T-shirt will not be red is
0.8
3. He takes one of his blue T-shirts at random.
What is the probability that the T-shirt is light blue
total blue t-shirts = 5
so, the probability of choosing light blue t-shirt is
=》
=》
=》
hence, the probability of choosing light blue t-shirt is 0.2
