Rational: Any number that can be expressed as a fraction (or a ratio.)
Irrational: Not rational, any number that can't be written down as a fraction. Some examples include

,

, and so on.
Answer:
θ = π/3, 5π/3
Step-by-step explanation:
2 cos θ - 1 = 0
2 cos θ = 1
cos θ = 1/2
θ = π/3, 5π/3
-22 - x = 5 + 6x + 9 Combine like terms (5 and 9)
-22 - x = 14 + 6x Subtract 6x from both sides
-22 - 7x = 14 Add 22 to both sides
-7x = 36 Divide both sides by -7
x = 5
The ways can the jazz band be selected so there are 2 trumpet players, 5 drummers, and 3 saxophonists is given below .
Step-by-step explanation:
Let's first do the math with only the trumpet,drummer and saxophonists player.
There are 4 Trumpet Player. There are 4 choices of trumpet players. Which means for each drummer, there are 4 groups of musicians:
T
1
D1S1
T
1
D2S2
and so on
So if there are 4 groups of musicians for each Trumpet ,12 drummer and there are 7 saxophonists , we get 12 groups.
It would be the product of
4T2, 12D5 and 7S3
That is 6*792*35=166,320
Answer:
9 down, 5 right, compression by factor of 2, reflection across the x- axis
Step-by-step explanation: