Answer:
1x1x1x1x1
Step-by-step explanation:
1^5 is the same as 1x1x1x1x1 because a power multiplies a number by itself
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
The area of the 3 trapezoid would be all equal because the formula of the area of the trapezoid is :
A = h (b1 + b2) / 2
since the length of the base are equal in all three trapezoid, then the angle is not part in the equation of the area so the angle of the trapezoid does not affect its area. so that is why all the three trapezoid have equal area even with different angles.
Answer:
-1/11
Step-by-step explanation:
Parallel lines have the same slope, but different y-intercepts. So, if the slope of the green line is -1/11, then the slope of the red line would also be -1/11.
