Answer:
The larger acute angle is equal to 50.8 degrees.
Step-by-step explanation:
Let's solve for both of the acute angles for the purpose of checking our work at the end with angle A being the top angle and angle B being the one on the base of the triangle (that's not the 90 degrees one). Determining whether to use sin/cos/tan comes from SOH-CAH-TOA.
A = cos^-1 (2√6/2√15)
However, you need to move the radical out of the denominator by multiplying √15 to the numerator and denominator. You should come up with (2√90)/30. So,
A = cos^-1 (2√90/30) = 50.768 degrees.
B = sin^-1 (2√90/30) = 39.231 degrees.
Now, we can check the work by adding the 2 angles to 90 and, if it comes to 180, it's right.
cos^-1 (2√90/30) + sin^-1 (2√90/30) + 90 = 180.
If you have any questions on where I got a formula or any step, feel free to ask in the comments!
Answer:
5 cents
Step-by-step explanation:
So the roulette wheel would have a total of 38 numbers, which means 38 different possible cases. Since you are allowed to bet on 5 numbers, the chance to win this is 5 out of 38 and to lose this is 33 out of 38.
If you win, you get 1 + 6 = 7 dollar, and if you lose, you lose 1 dollar.
Therefore the expected amount out of this game is:
or 5 cents
Answer:
C
Step-by-step explanation:
Not 100% sure
X= 5/mod I think this is the answer
