Which of the following explains why Cosine 60 degrees = sine 30 degrees using the unit circle? The answer is: The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.

But I would really appreciate someone to explain this to me, thank you!

1. are the triangles similar and if so why? what is the value of x? show your work.

The function ƒ is defined by ƒ(x) = (x + 3)(x + 1). the graph of ƒ in the xy-plane is a parabola. which interval contains the x-coordinate of the vertex of the graph of ƒ?

1. if we have 3 babies what is the probability they’re going to be all boys? 2. if we roll 2 die at the same time what is the probability of getting less than 10 on the first roll and a 5 on the second roll 3. if we have 3 babies what is the probability their is going to be 2 girls? 4. if we have 3 babies what is the probability of having no more than 1 girl? 5. it we have 3 babies and then have another 3 babies what is the probability of us having at least 1 boy and then having all girls?