Answer:
i think this is a pemdas solution.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>First, the side lengths should be greater than zero:</u>
Second, The triangles have a common side and the given sides are opposite of 27° and 37° angles.
<u>This tells us the side opposite of greater angle is greater:</u>
<u>Simplify each inequality:</u>
- 3x - 5 > 0 ⇒ 3x > 5 ⇒ x > 5/3
- 2x + 3 > 0 ⇒ 2x > - 3 ⇒ x > - 3/2
- 2x + 3 > 3x - 5 ⇒ 3x - 2x < 3 + 5 ⇒ x < 8
<u>Common solution is:</u>
You need to use the cosine for this and this is how you do it.
Answer:
- 2/9
Step-by-step explanation:
Learn Your Rules: (-)(-)(-) = Negative
The rest is easy. All you have to do is multiply it like normal fractions. You get 2/9. Tack on the negative on the back: -2/9
Hope this helps!
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