Answer:
A=46 degrees, B=33.4 degrees, C=100.6 degrees
a=34, b=27, c=48.2
Step-by-step explanation:
(a/sin(A)) = (b/sin(B)) = (c/sin(C))
we are given
(34/sin(46)) = (27/sin(B))
34sin(B) = 26sin(46)
34sin(B) = 18.702834809
sin(B) = 0.550083377
note use inverse sin function to find angle B
B = 33.372733167 approx 33.4 degrees then
C = 180 - (46 + 33.4) = 100.6
Then, (b/sin(B)) = (c/sin(C))
27/0.550083377 = c/0.982935349
0.550083377 * c = 27 * 0.982935349
0.550083377 * c = 26.539254427
c = 48.245876056 approx 48.2
.
Lastly, you get: A=46 degrees, B=33.4 degrees, C=100.6 degrees
a=34, b=27, c=48.2
4/12 equals 2/6 which is smaller than 4/6 so the correct answer is 4/12 <4/6
Answer:
y = -2x + 10
Step-by-step explanation:
The equation is y = mx + b
1. Find the slope first.
--> (y2 - y1) / (x2 - x1) = slope
--> (-12 - -6) / (11 - 8) = (-6) / (3) = -2
2. Then, find the y-intercept (b) by plugging one of the points
--> y = -2x + b
--> -6 = -2(8) + b
--> -6 = -16 + b
--> b = 10
3. Combine
--> y = -2x + 10