Answer:
Step-by-step explanation:
SOH CAH TOA can remind you of the relationships between triangle measures. The distance east is the side of the right triangle that is opposite the angle, so is related to the hypotenuse (ship's travel distance) by the sine function.
sin(43°) = (travel distance)/(distance east)
So, ...
(distance east) = (travel distance)·sin(43°)
Likewise, the cosine function can be used to find the distance south.
Then we have ...
east = (130 km)sin(43°) ≈ 95 km
south = (130 km)cos(43°) ≈ 89 km
Consider the number as 'n' (for now)
3n - 9 = 69
3n = 69 + 9
3n = 78
n = 78/3
n = 26
Therefore, The number is 26
Answer:
a=4 and b=-1
Step-by-step explanation:
2(4)+3(-1)= 5
Well I don't know !
Let's figure it out together.
Each cube can land in 6 different ways, so the total number
of possible results with two cubes is (6 x 6) = 36 .
Now we need to figure out how many of those 36 possibilities
meet your specifications ... either 9 or any even number.
Ways to make 9 :
3 . . . 6
6 . . . 3
4 . . . 5
5 . . . 4
Four ways to make 9.
____________________________
Ways to make an even number:
1 . . . 1
3 . . . 1
1 . . . 3
2 . . . 2
5 . . . 1
1 . . . 5
6 . . . 2
2 . . . 6
6 . . . 4
4 . . . 6
6 . . . 6
Eleven ways to make an even number.
_____________________
Total number of ways to succeed = (4 + 11) = 15 ways
So the probability of succeeding (rolling 9 or an even number)
is
15 / 36 = 5 / 12 = 0.41666... = (41 and 2/3) % .
