Cos(theta) = adjacent/hypotenuse
cos(theta) = 6/20
cos(theta) = 0.3
Use the inverse cos or cos^-1 on your calculator to get the angle
theta = 72.5
For this case we have:
Be a function of the form 
Where:

If we want to find f (-2), we substitute
, then:

Since we have a negative root, the result will be given by complex numbers. By definition:

So:

Answer:

Answer:

Step-by-step explanation:
We have the equation 
In order to solve for x, we need to get all of the x's to one side and everything else to the opposite side

First, we can add 1 to each side

Now, we can add x to each side

Next, we can divide each side by 2

And here is our answer.
I think there are 12 possible outcomes in the sample space. Because if you put one crust with one topping for each crust and topping it equals up to 12.
See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2