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:
16.25
Step-by-step explanation:
Well, the school is 13/2 miles away.
13/2 = 6.5
Since Edward goes by car there and back, he travels 13 miles a day.
6.5 x 2 = 13
He went for 5 days.
5 x 13 = 65
The car consumed 4 gallons of gas by driving those 65 miles.
65 / 4 = 16.25
Therefore, Edward's car gets 16.25 miles per gallon!
Here are the numbers that represent each based on the box plot:
Median: 11 (located at the vertical line in the middle of the box)
Range: 19 - 7 = 12 (highest value - lowest value)
25%: 9 (at the left end of the box)
75%: 14 (at the right end of the box)
Interquartile range: 14 - 9 = 5 (the distance from the beginning to the end of the middle half of the data)
18x-16y=5
Subtract 18x from each side
-16y=-18x+5
Divide by -16
y=18/16x-5/16
y=9/8x-5/16 this one is with improper fractions
Answer:
you are a lie you said you will give 15 points and its only 8
Step-by-step explanation:
