1. When using the Law of Sines to find an unknown angle, there is an ambiguous case, which occurs when two different triangles can be created using the given information. 2. We cannot apply the Law of Sines because there are two triangles created in this case. We cannot use the law of sines for the entire triangle, so we have to break it up into two triangles and find the individual angle measures. 3. Seeing as, in the triangle below, side a can swing in or out along the known side of b, the triangle must be broken into two triangles to solve the triangle as a whole.
0 Comments
1. If I were to explain a radian, I would say that it is a unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius. 2. The Unit Circle displays different values of radians relative to the angle measures. it shows different angles and their radian equivalents. 3. One radian is equal to the angle formed when the arc opposite the angle is equal to the radius of the circle. Therefore, the radius can be determined by applying the arc length of a radian. 4. Radian measures can be converted to degrees by multiplying the radian measure by 180/PI. Personally, I prefer to use degrees because I am more familiar with degrees than radians. However, I feel as though radians are more mathematically "pure" as opposed to degree values. When you factor out polynomials, the resulting factors can be used to find the zeros, because by placing a value in the place of the x in a factor and having the result be zero, you figure out that that value must be a zero on the polynomial graph. The degree of a polynomial helps us determine the number of factors, and therefore the number of zeros in the polynomial function. However, it doesn't always give us the exact number of zeros by giving us the number of factors. For example, the graph above is x^4-9x^3+18x^2+32x-96, and factored out, it is (x+2)(x-3)(x-4)(x-4), with a repeating factor. The zeros are -2, 3, and 4. As you can see, sometimes the factored out form is repeating.
I believe the ball will go over the hoop as opposed to going in it. From the function's arc that is in line with the basketballs, the basketball would clearly go over the hoop and not make it in.
1. This data appears to follow an exponential function. The function starts out small then gradually rises to the top, which is how data in an exponential function tend to follow.
2. Domain of the graph is All Real Numbers because it goes infinitely in both directions along the X-Axis. 3. Range of the graph is All numbers above -1 or (-1, infinity) because the graph starts their on the y-axis and goes to infinity. |