In this case we know the three sides of the triangle, then this is a SSS triangle (Side Side Side). To solve this case, first we must use the Law of Cosines, applied to the opposite side to the angle we want to find.
We want to find angle W, and its opposite side is XV, then we apply the Law of Cosines to the side XV:
XV^2=XW^2+WV^2-2(XW)(WV)cos W
Replacing the known values:
116^2=96^2+89^2-2(96)(89)cos W
Solving for W
13,456=9,216+7,921-17,088 cos W
13,456=17,137-17,088 cos W
13,456-17,137=17,137-17,088 cos W-17,137
-3,681=-17,088 cos W
(-3,681)/(-17,088)=(-17,088 cos W)/(-17,088)
0.215414326=cos W
cos W = 0.215414326
Solving for W:
W= cos^(-1) 0.215414326
Using the calculator:
W=77.56016397°
Rounded to one decimal place:
W=77.6°
Answer: Third option 77.6°
Answer:
m=4
Step-by-step explanation:
7-3=4................
hope that helps
Answer:
1.47 times 10 to the power of -3
Step-by-step explanation:
8th grade math I'm guessing lol
Some schools do this differently, but since I don’t have any of the answer choices I’ll show you how to
Factor: -6|x+5|-2
Factor out the two
2(-3|x+5|-1)
And if you are looking for a graph here:
Step-by-step explanation:
1.5 mi = 2 and 1/4 min
In 43 minutes:
43 ÷ 2.15 = 20 2.15 = 2 and 1/4 min
Now you have to multiply 1.5 by 20
1.5 x 20 = 30
In 1 hour (60 minutes):
60 ÷ 2.15 = 27.9
Now you have to multiply 1.5 by 27.9
1.5 x 27.9 = 41.85
Hope this was helpful :)