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°
If there is a fraction with more then one of the same number repeated behind the decimal, it is a repeating decimal
Answer:
Option 1 is the correct fraction as a division problem
Answer:
31 people
Step-by-step explanation:
Hamzah soccer team is trying to raise the amount of $620 to travel to a tournament in Florida
The soccer team decide to organise a pancake breakfast
Each person that attends the breakfast must pay $20
Therefore the amount of people needed to attend the breakfast to raise $620 can be calculated as follows
= 620/20
= 31
Hence 31 people need to be in attendance inorder to raise $620
