Answer:
3/8
Step-by-step explanation:
probability = wanted outcomes / total outcomes
odds = wanted outcomes / unwanted outcomes
Odds of 3:5 losing means 3 losing outcomes and 5 winning outcomes.
The total outcomes is 8
The probability of losing which is the probability that the event will fail to occur is 3/8.
From the law of sines, we have:
![\displaystyle{ \frac{\sin \angle X}{x}= \frac{\sin \angle Y}{y}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%7B%20%5Cfrac%7B%5Csin%20%5Cangle%20X%7D%7Bx%7D%3D%20%5Cfrac%7B%5Csin%20%5Cangle%20Y%7D%7By%7D)
,
where x and y are the sides opposite to angles X and Y, respectively.
Substituting the known values, we have:
![\displaystyle{ \frac{51^{\circ}}{5}= \frac{\sin \angle Y}{2}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%7B%20%5Cfrac%7B51%5E%7B%5Ccirc%7D%7D%7B5%7D%3D%20%5Cfrac%7B%5Csin%20%5Cangle%20Y%7D%7B2%7D)
, thus
![\displaystyle{ \sin \angle Y=\frac{\sin 51^{\circ}}{5}\cdot2\approx \frac{0.777}{5}\cdot2=0.31](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20%5Csin%20%5Cangle%20Y%3D%5Cfrac%7B%5Csin%2051%5E%7B%5Ccirc%7D%7D%7B5%7D%5Ccdot2%5Capprox%20%5Cfrac%7B0.777%7D%7B5%7D%5Ccdot2%3D0.31)
.
Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.
We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.
Thus, there is only one triangle that can be formed under these conditions.
Answer:
The simplest ratio would be 5:3
Step-by-step explanation:
Both 10 and 6 can be divided by 2.
They turn into 5 and 3.
Since you can't make 5 and 3 any smaller, this will be the answer.
5:3
Hope this helped! :D
Answer:
Thank you very much :) needed that
Answer:
The shape is not there so i can not solve it
Step-by-step explanation: