A girl delivering newspapers covers her route by traveling 10.00 blocks west, 4.00 blocks north, and then 5.00 blocks east.

To determine the final displacement of the girl delivering newspapers, we can analyze her movements in terms of horizontal (west-east) and vertical (north-south) directions separately.

1. Horizontal Displacement:
- Traveling 10.00 blocks west
- Traveling 5.00 blocks east

To find the net horizontal displacement, we subtract the eastward distance from the westward distance:
10 blocks west - 5 blocks east = 5 blocks west

So, the horizontal displacement is 5 blocks west.

2. Vertical Displacement:
- Traveling 4.00 blocks north

The vertical displacement is straightforward as there are no opposing directions. Therefore, the vertical displacement is 4 blocks north.

In summary:
- Horizontal Displacement: 5 blocks west
- Vertical Displacement: 4 blocks north

To find the overall displacement (net displacement), we use the Pythagorean theorem:

Net Displacement^2 = Horizontal Displacement^2 + Vertical Displacement^2

Net Displacement^2 = (5 blocks)^2 + (4 blocks)^2
Net Displacement^2 = 25 blocks^2 + 16 blocks^2
Net Displacement^2 = 625 blocks^2

Taking the square root of both sides:

Net Displacement = square root(625 blocks^2)
Net Displacement = 25 blocks

Therefore, the overall displacement (net displacement) of the girl delivering newspapers is 25 blocks in a direction that is 5 blocks west and 4 blocks north of her starting point.

To find the total distance and direction traveled by the girl delivering newspapers, we can use the concept of vector addition.

First, let's represent the distances and directions of her movements as vectors:

- Traveling 10.00 blocks west can be represented as a vector (-10.00, 0).
- Traveling 4.00 blocks north can be represented as a vector (0, 4.00).
- Traveling 5.00 blocks east can be represented as a vector (5.00, 0).

Now, we can add these vectors to find the total distance and direction:

(-10.00, 0) + (0, 4.00) + (5.00, 0)

To add the vectors, we simply add their corresponding components:

(-10.00 + 0 + 5.00, 0 + 4.00 + 0)

Simplifying the addition, we get:

(-5.00, 4.00)

Therefore, the girl's total distance and direction can be represented as a vector (-5.00, 4.00). This means she traveled 5.00 blocks to the west and 4.00 blocks to the north.

To calculate the total distance she traveled, we can use the Pythagorean theorem:

Total distance = √((-5.00)² + 4.00²)

Simplifying the equation, we get:

Total distance = √(25.00 + 16.00) = √41.00 = 6.40 blocks

Therefore, the girl traveled a total distance of approximately 6.40 blocks.