Answer:
Step-by-step explanation:
4.
2ab cos C=a²+b²-c²
2×31×14 cos C=31²+14²-40²
868 cos C=961+196-1600=-443
cos C=-443/868
C=cos^{-1}(-443/868)≈120.688≈120.69°
5.
by sine formula
m∠B=180-(62+55)=180-117=63°
.72 is 72%. Just move the decimal point two places to the right.
<em>1/2</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>1 1/3 + (-5/6) =</em>
<em>= (1*3+1)/3 - 5/6</em>
<em>= ²⁾4/3 - 5/6</em>
<em>= 8/6 - 5/6</em>
<em>= (8 - 5)/6</em>
<em>= 3/6</em>
<em>= 1/2</em>
<em>Good luck !</em>
Answer:
x = 23.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 54 = x / 29
29 sin 54 = x
x=23.46149
To the nearest tenth
x = 23.5
Answer:
x = 19
<B = 125°
Step-by-step explanation:
The sum f angle <D and angle <A is equal to 180° because these angles are supplementary
75° + 5x + 10 = 180° add like terms
85 + 5x = 180 subtract 85 from both sides
5x = 95 divide both sides by 5
x = 19
Same rule goes for angle <C and angle <B
<B + 55° = 180 subtract 55 from both sides
<B = 125°
