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
The answer is the third choice they both equal -16/77. Hope this helps:)
The answer is 125 messages.
Firstly the best thing to do is create two different equations.
1. y=25+.08x
2. y=20+.12x
Then you plug into Desmos and see at what point they cross. They cross at (125, 35).
Therefore for 125 text messages would cost 35$ for each plan.
Answer:
yes
Step-by-step explanation:
if you add 2+3 it will be five and 6+5 equals 11 so yes
56,000??
If you mean 56,000 then the nearest thousand is 56,000