Sin 30° = 1/2 = x/8
then x = 4
sin 60° = √3/2 = y/8
then y = 4√3
so the length of the longer leg is 4√3
We are asked to decide if the expression:
x^2 + y^2 = 1 represents a function.
We recall that in order to have a function, we need for a given value of x to have a SINGLE value of y associated with it.
So in this case, when x is 0 for example, we have the following:
0^2 + y^2 = 1
then y^2 = 1
and we realize that there are TWO values of y whose square form gives 1 (one is 1 and the other -1) Therefore, this relationship is NOT a function, since for example when x = 0 there are TWO values of y to which that x is associated (y = 1 and y = -1).
So please select that this is NOT a function for your answer.
Adjacent AnglesTwo angles areAdjacent if they have a common side and a common vertex. ... VerticalAnglesVertical Angles are the anglesopposite each other when two lines cross.They are called "Vertical" because they share the same Vertex.Vertical Angles are Congruent/equivalent
The length of the yard is 25ft.
In order to find this we first need to set up variables for the length and the width. Since we don't know anything about the width, we'll set it as x. Then, we know the length is equal to ten more than three times the width. Since the width is x, we can write the length as 3x + 10. Now we can use the formula for the perimeter of a rectangle to solve for x.
2l + 2w = P
2(3x + 10) + 2(x) = 60
6x + 20 + 2x = 60
8x + 20 = 60
8x = 40
x = 5
Now that we have a value for x, we can plug into the length equation and find the length.
3x + 10
3(5) + 10
15 + 10
25
