1. There are12 total letters 5 vowels and 7 consonants in the hawaiin alphabet.
2. probability of 1st letter being a vowel is 5/12
3. probability of 2nd letter being a vowel is 5/12
4. probability of both occurring is (5/12 * 5/12) = 25/144 ←
Answer:
a.
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth): 
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:

Answer:
The 92nd term of the arithmetic sequence is 731 because the common difference between them is 8 and then I added 8 with every single number that I got and I continued adding until I get my 92nd term which is 731.
C.
You can factor that equation to the following:
x(x - 3)(x + 2)
Then set each part equal to zero and solve individually.
Just multiply 11 1/8 by 2 and u should get 22.25 so the length of UV is 22.25 inches