<span>How to decompose polygons to find the area. I'm Bon Crowder and we're talking about taking apart polygons so we can look at their areas. So here we have two polygons. We have a trapezoid that's kind of awkward looking and then we have this other kind of crazy polygon. So when you want to find the area it's like trying to figure out how much carpet you need to put on the floor of a very strange room. Here you can remember the area for the trapezoid but if you don't remember that and you don't have Google on hand really quickly, you can go OK well if I chop off that triangle and chop off that triangle then I have a triangle, a rectangle and a triangle. And if you remember that your area is one half base times height for the two triangles and the area of the rectangle is length times width. Then you can find each area and add them together. For this crazy guy we can do this one of two ways. We can either consider the extra triangle here and then we have the area of the whole rectangle and then the area of the triangle and then subtract or we can look at the area of the rectangle which is this one and then two triangles and then add. So there's a couple of different ways to decompose that one. I'm Bon Crowder and that's how you decompose polygons to find the area</span>
Answer:
a. Independent
b. Matched
c. Independent
Step-by-step explanation:
If the sample is chosen randomly and there is no biasness in the selection of sample from the population then the selected sample is independent. The matched pairs are when the selection process involves a relation with the sample selected with the desired test results.
5x6 = 30 and 9x4 = 36 so 30+36= 66
Let V = the launch velocity
Let θ = the launch angle
Let d = the horizontal distance traveled
Ignore air resistance.
The horizontal component of velocity is
u = V cos θ
The time of flight is
t = d/(V cosθ) = (d/V) secθ
Create a table of θ versus t as shown below.
θ t/(d/V)
---- ----------
45 1.4142
40 1.3054
35 1.2208
30 1.1547
The graph shows that as the launch angle decreases below 45°, the time of flight decreases.
Therefore arrow b (θ < 45°) arrives first.
Answer: Arrow b arrives first.
