X = 360 - (122+58+58)
x = 360 - 238
x = 122
Answer:
first term = 2 ...(given)
second term = f (2) = f (2-1) * 5 = 1 * 5 = 5. .....[according to the formula f(n) = f (n -1) *5 ]
third term = f (3) = f ( 3 - 1 ) * 5 = 2 * 5 = 10
fourth term = f (4) = f (4 - 1) * 5 = 3 * 5.= 15
fivth term = f (5) = f ( 5 - 1) * 5 = 4* 5. =20
Answer:
∠AOB = 120°
∠BOC = 140°
∠BOD = 140°
Step-by-step explanation:
First, find X !
Full circle is 360°
360 = (2x + 80) + (5x + 40) + 4x + x
360 = 12x + 120
240 = 12x
x = 20°
Substitute the X
∠AOB ≡ (2x + 80) =
(2(20) + 80) = 120°
∠BOC ≡ (5x + 40) =
(5(20) + 40) = 140°
∠BOD = ∠AOB + ∠DOA ≡
120 + x = 120 + 20 = 140°
The probability of getting the correct order in the spelling bee is 1 chance in 362,880.
This is a permutation problem. Our goals is to find the total number of ways that the 9 students can be ordered.
For the first spot there are 9 choices, then 8 choices, then 7 choices....
We need to evaluate:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880
Another way to write this is: 9!
From 10 to 15 -> 10 increased with half its size (5), that means increase of 50%
From 16 to 12 -> decrease of 4, which is a quarter of 16, that means a decrease of 25%
