Answer:
Both A and B are possible.
Step-by-step explanation:
It's both!
This is a might tricky. First you have to find the altitude. You have to determine if this is a real triangle.
Sin(22) = opposite / hypotenuse. The hypotenuse = 111. The angle is 22
opposite = hypotenuse * sin(22)
opposite = 111 * sin(22)
opposite = 41.58 and this is the altitude.
What have you learned?
Since 42 is larger than 41.58 you have 2 solutions to the triangle. One of the angles is acute, and the other one is obtuse. They are supplementary angles.
Sin(C) / c = Sin(A) / a
Sin(C) = c * Sin(22) / 42
Sin(C) = 111*sin(22)/ 42
Sin(C) = .99003
Sin(C) = 81.9
So that's your first answer. The second answer comes from Finding the supplement to this angle
supplement + 81.9 = 180
supplement = 180 - 81.9
supplement = 98.1
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
<u>ANSWER</u>
The common ratio is -3.
<u>EXPLANATION</u>
In general, the common ratio of a Geometric Sequence is given by:

We can find the common ratio using any two consecutive terms of the geometric sequence by dividing the subsequent term by the previous term.
The given sequence is -2,6,-18,54
Using the first two terms the common ratio is

We could also used the second and third terms to get

and so on and so forth.
Therefore the common ratio is -3.
Answer:
A lot of things would happen. First, you would buy things that you may not need, thus wasting some of your money. If that happens often, you may slowly become broke. Another thing that could happen is you could get into debt, because you aren't keeping track of how much you spent, therefore, you would spend more and there are also things such as interest and taxes that would make you get into dept. Because of all of this happening, you would get a lot of stress as well, and you might get ill because of it.
Hope this helped!!! :D