Answer:
A(−3, 3)
B(−2, −1)
C(−1, 4)
Segments
AB = 4.12
BC = 5.10
AC = 2.24
Angles
m∠A = 102.53°
m∠B = 25.35°
m∠C = 52.13°
Step-by-step explanation:
In Scientific notation
9.79 x 10^8
Evidently the quesiton is incomplete.
It is logic that the actions are roll a die and draw a card.
The two events are indepent, so the combined probability is the sum of the individual probabiliites.
Probability = number of positive events / number of possible events
Probability of rolling an even number = number of faces with even numbers / total number of numbers.
Probability of rolling an even number = 3 / 6 = 1/2
Probability of drawing an ace = number of aces in the deck of cards / number of cards
Probability of drawing an ace = 4 / 52 = 1 / 13
Combined probability = 1/2 + 1/13 = (13 + 2) / 26 = 15 / 26
Answer: option D. 15 / 26
Answer:
This can be done in 3645 ways
Step-by-step explanation:
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
![P_{(n,x)} = \frac{n!}{(n-x)!}](https://tex.z-dn.net/?f=P_%7B%28n%2Cx%29%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-x%29%21%7D)
In this problem, we have that:
1 Beethoven symphony, from a set of 9.
1 Mozart concerto, from a set of 27.
1 string quartets, from a set of 15.
So
![P_{(9,1)}*P_{(27,1)}*P_{(15,1)} = \frac{9!}{(9-1)!}*\frac{27!}{(27-1)!}*\frac{15!}{(15-1)!} = 3645](https://tex.z-dn.net/?f=P_%7B%289%2C1%29%7D%2AP_%7B%2827%2C1%29%7D%2AP_%7B%2815%2C1%29%7D%20%3D%20%5Cfrac%7B9%21%7D%7B%289-1%29%21%7D%2A%5Cfrac%7B27%21%7D%7B%2827-1%29%21%7D%2A%5Cfrac%7B15%21%7D%7B%2815-1%29%21%7D%20%3D%203645)
This can be done in 3645 ways
Answer: This is side,side,side. Meaning that you will add 4+5 to get 9. 9 is greater than 6 so the answer is only 1 unique triangle is possible. Here is some notes.
Step-by-step explanation: