Question

Helena knows that the stability of her fridge depends on the position of its center of gravity Helena drew triangle ABC with vertices A(1,8) B(7.8,5.3) (2,0.7)

Answer 1

Answer: i dont know

Explanation:

guess B and move on

Answer 2

The coordinates of the fidget's center of gravity are approximately (3.6, 4.6). Therefore, the correct answer choice is (3.6, 4.6).

The coordinates of the center of gravity of a triangle can be found by taking the average of the x-coordinates and the y-coordinates of its vertices.

Let's calculate the x-coordinate of the center of gravity:

`\[ \text{Center of gravity (x)} = (x_A + x_B + x_C)/(3) \]`

Substitute the given coordinates:

`\[ \text{Center of gravity (x)} = (1 + 7.8 + 2)/(3) \]`

`\[ \text{Center of gravity (x)} = (10.8)/(3) \]`

`\[ \text{Center of gravity (x)} = 3.6 \]`

Now, let's calculate the y-coordinate of the center of gravity:

`\[ \text{Center of gravity (y)} = (y_A + y_B + y_C)/(3) \]`

Substitute the given coordinates:

`\[ \text{Center of gravity (y)} = (8 + 5.3 + 0.7)/(3) \]`

`\[ \text{Center of gravity (y)} = (14)/(3) \]`

`\[ \text{Center of gravity (y)} = 4.6 \]`

So, the coordinates of the fidget's center of gravity are approximately (3.6, 4.6). Therefore, the correct answer choice is (3.6, 4.6).


The probable question can be: Helena knows that the stability of her fidget depends on the position of its center of gravity. To determine the fidget's center of gravity, Helena drew tri ABC with vertices A(1,8), B(7.8,5.3) and C(2,0.7). What are the coordinates of the fidget's center of gravity? Round your answer to the neares (3,5) (3.6,4.6) (4.6,3.6) (5,3)