I have attached a diagram of the triangle described.
We can use any of the trigonometric functions to find angle x. Remember, SOH CAH TOA. And since we're finding the angle, we'll need to use an inverse trigonometric function. For this problem, I'll be using the sine function.
sin(x) = 84 / 85
x = sin^-1(84/85)
x = 81.2026 degrees (feel free to round to however many places you need)
Hope this helps!! :)
Answer:
B
Step-by-step explanation:
when you solve B you get 15 and for all the other ones you get a non-terminating decimal
Answer: 1
Step-by-step explanation: the probability mass function that defines a possion probability distribution is given below as
P(x=r) = e^-u × u^x/x!
For this question, x = 0 and u = 9.5
Hence we have that
P(x=0) = e^-0 × 9.5^0 / 0!
P(x=0) = 1 × 1/ 1 = 1
F(x)=(3x-2)^0.5
C.x is greater than or equal to two thirds
2.5y + 3x = 27
5x - 2.5y = 5
Align the variables to make solving this easier.
2.5y + 3x = 27
-2.5y + 5x = 5
You can see that the 2.5y and -2.5y cancel each other out. Then add the 3x and 5x, and 27 + 5.
3x = 27
5x = 5
8x = 32
Divide both sides by 8.
x = 4
Now input that x into one of the equations to get y.
2.5y + 3(4) = 27
2.5y + 12 = 27
2.5y = 15
y = 6
The answer to this system of equations is x = 4, y = 6. (4, 6)
