Isolate k by dividing both sides by 8
8k=4/9
k=4/72
Reduce if possible
4/72 -> 1/18
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :
i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.
ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:
a^{2}=b ^{2}+c ^{2}-2bc(cosA)
2.
20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA) 400=81+169-234(cosA) 150=-234(cosA) cosA=150/-234= -0.641
3. m(A) = Arccos(-0.641)≈130°,
4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
y=mx+b
since the b is 0, the formula is y= -3x
Answer:
The answer is 64
Step-by-step explanation
Lines JK and HI are congruent therefore making the 60 degree angle on line JK can also be used to find the rest of triangle <HAI, and triangles always add up to 180 degrees
See Quadratic Formula and Determinant's/Delta's formula