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°
April would. She braids more, but at a slower pace. However, when they reach the 187 minute mark, April would have braided 77 times. Jeremy would have braided 68 times.
Answer:
3/4 i think
Step-by-step explanation:
Cylinder area=height times area of base (area of base=area of circle)
height =1.8
radius=6.1
area of circle=pi times r^2
area of circle=pi times 6.1^2=37.21π
times height
1.8 times 37.21π=66.978π
volume=66.978π ft^3
Answer:
160 degrees
Step-by-step explanation:
Step 1: A straight line is 180 degrees. So 180 - 100, is 80 degrees. as the opposite angle measurement of the 100 degree.
Step 2: An isosceles triangle has two equal angle measurements, so two of its angles are 80 degrees.
Step 3: All angles in a triangle equal 180 degrees. So add them up (we will call the missing angle, Z) 180 = 80+80+Z. which equals 180= 160+z
Step 4: Solve it. You subtract 160 from both side which comes out to 20 = Z.
Step 5: Now you have the opposite angle of X. Going back to step 1, A straight angle is 180 degrees. 180 - 20 = 160. X = 160 degrees
