Answer:
21) There is a 0% chance of picking a 13 in a deck of cards. <u>Impossible.</u>
If there is a 0% chance that something will happen then it is impossible.
22) There is a 50% chance of picking a red card in a deck of cards.<u> Equally likely.</u>
If there is a 50% chance that something will happen, it is equally likely that it will happen.
23) There is an 80% chance of snow tomorrow. <u>Likely or certain.</u>
If there is an 80% chance of something happening, it means that the chances of that thing happening good and the event is likely to occur.
24) There is a 20% chance of rain tomorrow. <u>Unlikely.</u>
A low chance of 20% means that something is unlikely to occur.
This does not appear to be a right triangle. However, we know 2 sides and the included angle, so can find the unknown side length. Let x represent this length. Then:
x^2 = (9 m)^2 + (12 m)^2 - 2(9m)(12 m)*cos 30 degrees, or
x^2 = 81 + 144 - 216(sqrt(3) / 2). Please solve for x^2 and then solve the result for x, making sure to choose the positive value. The result will be the length of the side opposite the 30 degree angle.
With 1 of 3 angles known, and 3 of 3 sides known, you can use the Law of Sines to find the other two angles. As a reminder, the Law of Sines looks like this:
a b c
-------- = --------- = ----------
sin A sin B sin C.
You can give the 30-deg angle any name you want; then a, the length of the side opposite the 30-deg angle, which you have just found. And so on.
Answer:
32.5%
Step-by-step explanation:
His debt payments total $300 +350 = $650.
As a fraction of his income, that is ...
$650/$2000 = 325/1000 = 32.5/100 = 32.5%
Nicholas's debt to income ratio is 32.5%.
23/103 = 0.22
0.22*100 = 22%
The percentage increase is 22%
Hope that helps!
Answer:
The slope would be 4/-3
Step-by-step explanation:
8-(-4)
= 4/-3
2-5
