VX is 43° due to that the angle is on the outside and the last two arcs come to be 96° times two plus 125° and 43° all equals 360°.
Using the <u>arrangements and the probability concept</u>, it is found that there is a 0.75 = 75% probability that the number formed is not divisible by 4.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The number of possible arrangements of n elements is given by

In this problem, there are 4 elements, hence
.
A number is a multiple of 4 if the <u>number composed by it's last 2 digits are multiples of 4</u>.
- Hence, the possible options for the last 2 digits are: 56, 68, 76.
- For each of them, there are
options for the first 2 digits, hence, there will be 2 x 3 = 6 multiples of 4.
The other 18 numbers formed are not divisible by 4, hence:

0.75 = 75% probability that the number formed is not divisible by 4.
For more on <u>arrangements and probabilities</u>, you can check brainly.com/question/24437717
Step-by-step explanation:
The law of cosine states that:
, where C is the side opposite of angle theta, and A and B are the adjacent sides of the angle.
In this case, A is equal to 21, and B is equal to 30 (or it could also be the other way around). That means that:
(to nearest 6 digits)
Answer:
a₂₀ = - 137
Step-by-step explanation:
there is a common difference between consecutive terms , that is
7 - 15 = - 9 - (- 1) = - 17 - (- 9) = - 8
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 15 and d = - 8 , then
a₂₀ = 15 + (19 × - 8) = 15 + (- 152) = 15 - 152 = - 137
Multiply the (number of miles) by (5,280 feet/mile).