The fourth choice - 5/104.
In one cube, there are 3 even numbers - 2,4,6. For two cubes, the total probability is 36.
3*3 / 36 = 9/36
For letters, there are five vowels over 26 letters = 5 / 26
Multiply the two probabilities to get the probability of rolling two even numbers and selecting one of the vowels.
9/36 * 5/26 = 5/104
Answer:
60.6°
Step-by-step explanation:
Using trigonometry :
Opposite = Height of shadow = 42 feets
Adjacent = height of flagpole = 23.7 feets
Tan θ = opposite / Adjacent
Tan θ = height of shadow / height of flagpole
Tan θ = 42 / 23.7
Tan θ = 1.7721518
θ = tan^-1(1.7721518)
θ = 60.56
θ = 60.6°
For part (a), you have


If

, then

.
If

, then

.
So,

For part (b), since the degrees of the numerator and denominator are the same, you first need to find the quotient and remainder upon division.

In the remainder term, the denominator

can't be factorized into linear components with real coefficients, since the discriminant is negative

. However, you can still factorized over the complex numbers, so a partial fraction decomposition in terms of complexes does exist.



Then you have


When

, you have



When

, you have



So, you could write

but that may or may not be considered acceptable by that webpage.
Answer:
7
Step-by-step explanation:
3(3-2)+4
3(1)+4
3+4
7