Using vector concepts, it is found that:
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
<h3>How can a vector be represented in component notation?</h3>
Given a magnitude M and angle 
, then a vector V can be represented as follows in component notation:
In this problem, the magnitude and the angle are given, respectively, by:
Hence:
V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).
Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
More can be learned about vectors at brainly.com/question/24606590
#SPJ1
Answer:
Judy is 16 years old
Step-by-step explanation:
J = Judy's age
A = Adams age
J = 2A
Six years ago (subtract 6 from the ages)
(J-6) = 5*(A-6)
Distribute
J-6 = 5A - 30
Substitute J = 2A
2A -6 = 5A -30
Subtract 2A from both sides
2A-2A -6 = 5A-2A -30
-6 = 3A -30
Add 30 to each side
-6+30 = 3A-30+30
24 = 3A
Divide by 3
24/3 = 3A/3
8 = A
Adam is 8 years old now
We need to find Judy's age
J = 2A
J = 2*8
J = 16
Judy is 16 years old
Tip would be the best answer choice
Answer:
The height of the antenna is 7.0 m
Step-by-step explanation:
Let the height of the antenna be represented by x, and the distance from Avani's eyes to the top of the building A by y. And let z = x + y, so that:
Tan 42 = 
y = Tan 42 x 21
= 0.9004 x 21
= 18.9084
y = 18.91 m
Also,
Tan 51 = 
z = Tan 51 x 21
= 1.2349 x 21
= 25.9329
z = 25.93 m
Therefore,
x = z - y
= 25.93 - 18.91
= 7.02
x = 7.02 m
The height of the antenna is 7.0 m
The answer is A because 1/3 is same as 3,1 (&) the 6 is alone without the 0 cause zero is worth nothing
