Answer:
The inverse relation G^(-1) is not a function. Why not? Because the y value y = 3 is paired up with more than one x value (x = 5, x = 2). The inverse relation G^(-1) is the set shown below
{(3,5), (3,2), (4,6)}
All I've done is swap the (x,y) values for each ordered pair to form the inverse relation. As you can see, x = 3 leads to multiple y value outputs which is why this relation is not a function. So in short, the answer is choice C. To have the inverse relation be a function, each value in the original domain must map to exactly one value in the range only. However that doesn't happen as the domain values map to an overlapping y value (y = 3).
45 degrees ...................................................
Answer:
Step-by-step explanation:
I assume that it is a composed figure formed by a triangle and a square.Since you did not give the dimensions of the triangle and the dimensions of the square, I will giveyou a general explanation about how to solve this exercise.
The area of the shape will be the sum of the the area of the square and the area of the triangle.
Then, you need to remember that the area of a triangle can be calculated with the following formula:
Where "b" is the base and "h" is the height.
And the area of a square can be found with this formula:
Where "s" is the length of any side of the square.
Therefore, the area of the shape will be
The width of the square is 7 cm. This is also the diameter of the circle.
To find the area of the square, you do 7², which is 49 cm².
To find the area of a circle, you do πr².
The radius is half the diameter, so it's 7 ÷ 2, which is 3.5 cm.
π3.5² ≈ 38.4845100065 cm².
The shaded region is the area of the square minus the area of the circle.
49 - 38.4845100065 = <span>10.5154899935, but because you're using 3.14 to approximate pi, the closest answer is 10.54 cm</span>².
The answer is 10.54 cm².
