Answer:
x = 21.8°
Step-by-step explanation:
tan = opposite / adjacent
tan x = 8/20
tan^-1 = 21.8°
Answer:
D.![\frac{4}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B36%7D)
Step-by-step explanation:
Solution,
Two dice are thrown.
So we have to find out the total number of outcomes.
![(1,1),\ (1,2),\ (1,3),\ (1,4),\ (1,5),\ (1,6)](https://tex.z-dn.net/?f=%281%2C1%29%2C%5C%20%281%2C2%29%2C%5C%20%281%2C3%29%2C%5C%20%281%2C4%29%2C%5C%20%281%2C5%29%2C%5C%20%281%2C6%29)
![(2,1),\ (2,2),\ (2,3),\ (2,4),\ (2,5),\ (2,6)](https://tex.z-dn.net/?f=%282%2C1%29%2C%5C%20%282%2C2%29%2C%5C%20%282%2C3%29%2C%5C%20%282%2C4%29%2C%5C%20%282%2C5%29%2C%5C%20%282%2C6%29)
![(3,1),\ (3,2),\ (3,3),\ (3,4),\ (3,5),\ (3,6)](https://tex.z-dn.net/?f=%283%2C1%29%2C%5C%20%283%2C2%29%2C%5C%20%283%2C3%29%2C%5C%20%283%2C4%29%2C%5C%20%283%2C5%29%2C%5C%20%283%2C6%29)
![(4,1),\ (4,2),\ (4,3),\ (4,4),\ (4,5),\ (4,6)](https://tex.z-dn.net/?f=%284%2C1%29%2C%5C%20%284%2C2%29%2C%5C%20%284%2C3%29%2C%5C%20%284%2C4%29%2C%5C%20%284%2C5%29%2C%5C%20%284%2C6%29)
![(5,1),\ (5,2),\ (5,3),\ (5,4),\ (5,5),\ (5,6)](https://tex.z-dn.net/?f=%285%2C1%29%2C%5C%20%285%2C2%29%2C%5C%20%285%2C3%29%2C%5C%20%285%2C4%29%2C%5C%20%285%2C5%29%2C%5C%20%285%2C6%29)
![(6,1),\ (6,2),\ (6,3),\ (6,4),\ (6,5),\ (6,6)](https://tex.z-dn.net/?f=%286%2C1%29%2C%5C%20%286%2C2%29%2C%5C%20%286%2C3%29%2C%5C%20%286%2C4%29%2C%5C%20%286%2C5%29%2C%5C%20%286%2C6%29)
The total number of outcomes = ![36](https://tex.z-dn.net/?f=36)
We have to find out the probability of outcomes that add up to 9.
So, Possible outcomes are;
<u>
</u>
The total number of possible outcomes = ![4](https://tex.z-dn.net/?f=4)
Now, according to the formula of probability,
![P(E)=\frac{Total\ number\ of\ Possible\ outcomes}{Total\ Number\ of\ outcomes}](https://tex.z-dn.net/?f=P%28E%29%3D%5Cfrac%7BTotal%5C%20number%5C%20of%5C%20Possible%5C%20outcomes%7D%7BTotal%5C%20Number%5C%20of%5C%20outcomes%7D)
![P(of\ add\ up\ to\ 9)=\frac{4}{36}](https://tex.z-dn.net/?f=P%28of%5C%20add%5C%20up%5C%20to%5C%209%29%3D%5Cfrac%7B4%7D%7B36%7D)
Hence the correct option is D)4/36.
You have 2 points with the same x value of 2 and 2 points with the same y value of 4.
You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.
The missing point would need to be (4,1)
The width would be x2-x1 = 4-2 = 2 units
The length would be y2-y1 = 4-1 = 3 units
Area = 3x 2 = 6 square units
Step-by-step explanation:
Simple
Total no of marbles = 6 + 4 + 8 = 18
Probability of red marble = 6 / 18 = 1/ 3