To find the resultant vector you need to add the horizontal and vertical components of each individual vector.
Cosine for horizontal, Sine for vertical.

Where |v| is magnitude or length of vector.
Lets look at first ranger station. First vector has magnitude 4.5 with angle of 90.
Next has magnitude of 8.1 with angle of 125.


Find magnitude:

Do the same with 2nd ranger station:



Therefore the 2nd ranger station is closest to starting point.
Answer:
10
Step-by-step explanation:
Here, we want to get the biggest number of spoon or forks that the bucket will have
What we have to do here is to simply find the greatest common factor of 100 and 80
Finding the greatest common factor of both will
give the biggest number of spoon or forks that the bucket will have
Mathematically, the greatest common factor of 80 and 100 is 10
Answer: 2.08 km
Step-by-step explanation:
Side of Square = 520 m
Perimeter of Square = Side × 4
= 520 × 4
= 2080 m
1000 m = 1km
2080 m = 2080 ÷ 1000
= 2.08 km
Answer:
The new volume is two times the original volume
Step-by-step explanation:
we know that
The volume of a rectangular prism

where
B is the area of the base
H is the height of the prism
If the height of a rectangular prism is doubled,
then
The new volume is equal to


therefore
The new volume is two times the original volume