Answer:
The ship is approximately 100 km to the Port.
Step-by-step explanation:
The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:
= 
+ 
-2ab Cos C
a = 50 km
b = 60 km
C = 51 + 80 = 
So that;
= 
+ 
-2(50 x 60) Cos
= 2500 + 3600 -6000 x -0.6561
= 6100 + 3936.6
= 10036.6
c = 
= 100.183
c = 100.18 km
Thus, the ship is approximately 100 km to the Port.
Answer:
Step-by-step explanation:
This relation (this group of points) is NOT a function. In order to be a function, every x-value (the first number in the pair) can only be paired up with one y-value (only one partner for the x)
In this relation, -6 is paired up with four different y-values (four different partners!)
If you plotted these points on a graph, you would see they are all lined up in a vertical line. If you have learned about the vertical line test, you will see that a vertical line goes through all four points. This set of points fails the vertical line test. To be a function, a vertical line can only touch the points one at a time.
To be a function, every x can only have one y partner.
Answer:
5
Step-by-step explanation:
For the point to be a solution to the equation, it has to lie on the line 5x -2y= 30 and therefore must satisfy the equation.
5x -2y= 30
When x=8,
5(8) -2y= 30
40 -2y= 30
40 -30= 2y (bring constant to 1 side)
2y= 10 (simplify)
y= 10 ÷2
y=5
Thus the missing value is 5.
1.181818181818181818 repeating is 117/99
Answer:
True
Step-by-step explanation:
