Answer:
P(6) is 1/12, P(Shaded) is 8/12, P(Odd or Unshaded) is 10/12, and P(Even and Shaded) is 11/12
Step-by-step explanation:
Answer:
![a=56.4\degree](https://tex.z-dn.net/?f=a%3D56.4%5Cdegree)
Step-by-step explanation:
Let
be an acute angle.
To solve:
, we take the sine inverse of both sides to obtain:
![\sin^{-1}(\sin(a))=\sin^{-1}(0.8325)](https://tex.z-dn.net/?f=%5Csin%5E%7B-1%7D%28%5Csin%28a%29%29%3D%5Csin%5E%7B-1%7D%280.8325%29)
Recall composition property of a function and its inverse function.
![f^{-1}(f(x))=x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28f%28x%29%29%3Dx)
We apply this property to the left hand side to obtain;
![a=\sin^{-1}(0.8325)](https://tex.z-dn.net/?f=a%3D%5Csin%5E%7B-1%7D%280.8325%29)
We now use our scientific calculator to obtain;
![a=56.3564115\degree](https://tex.z-dn.net/?f=a%3D56.3564115%5Cdegree)
We round to the nearest tenth to obtain;
![a=56.4\degree](https://tex.z-dn.net/?f=a%3D56.4%5Cdegree)
Answer:
If you take the rectangle with the geometric center O. Match the sides of opposite triangles. AB will be equal to CD and AC is equal to BD. Angles AOB is equal to the angle COD and angle AOC is equal to angle BOD.
The two diagonals bisect each other and therefore each all parts of the diagonal are equal.
Therefore the two diagonals are congruent.
Answer:
1/26
Step-by-step explanation:
Out of the 52 total cards ,there are 2 red kings (hearts and diamonds), so the probability of a red king is 2/52 = 1/26
Answer:
c) because 2*2 =4 and 4 -2 =2
Step-by-step explanation: