41.9 mi
Step-by-step explanation:
First, we convert the angle from degree measure to radian measure:
Using the definition of an arc length 
1/3=2/6
So he ate 2/6ths of the pizza and now there is 4/6ths left.
He took 1/6ths with him for lunch so 4/6-1/6=3/6
You can simplify 3/6 to 1/2
He was 1/2 of the pizza left.
19, 36, 23, 42, 21, 33, 23, 24, 36, 42, 23, 37, 37, 33, 17
LekaFEV [45]
What is this suppose to mean
That my dear your answer would be 16 degrees hope this helped
Answer:
cos2θ = -0.7041
Cos θ = -0.3847
Step-by-step explanation:
Firstly, we should understand that since θ is in quadrant 2, the value of our cosine will be negative. Only the sine is positive in quadrant 2.
Now the sine of an angle refers to the ratio of the opposite to the adjacent. And since there are three sides to a triangle, we need to find the third side which is the adjacent so that we will be able to evaluate the cosine of the angle.
What to use here is the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the adjacent and the opposite.
Since Sine = opposite/hypotenuse, this means that the opposite is 12 and the hypnotist 13
Thus the adjacent let’s say d can be calculated as follows
13^2 = 12^2 + d^2
169 = 144 + d^2
d^2 = 169-144
d^2 = 25
d = √25 = ±5
Since we are on the second quadrant, the value of our adjacent is -5 since the x-coordinate on the second quadrant is negative.(negative x - axis)
The value of cos θ = Adjacent/hypotenuse = -5/13
Cos θ = -5/13
Cos θ = -0.3846
Using trigonometric formulas;
Cos 2θ = cos (θ + θ) = cos θ cos θ - sin θ sin
θ = cos^2 θ - sin^2 θ
Cos 2θ = (-5/13)^2 - (12/13)^2
Cos 2θ = 25/169 - 144/169
Cos 2θ = (25-144)/169 = -119/169
Cos 2θ = -0.7041
