Question

Here is a balanced hanger diagram

Answer 1

Based on the mass of the circle and the triangle, we can find the mass of the square to be 3.33 grams

Mass of each side of hanger

Assuming the mass of the square is x, the equation for the first side is:

= (3 x mass of circle) + (2 x mass of triangle) + (6 x mass of square)

= ( 3 x 2) + ( 2 x 4) + ( 6 × x)

= 6 + 8 + 6x

Mass of other side:

=  (2 x mass of circle) + (5 x mass of triangle) + (3 x mass of square)

= ( 2 x 2) + ( 5 x 4) + ( 3 × x)

= 4 + 20 + 3x

Mass of square

As both sides are equal, equate both formulas to find x:

6 + 8 + 6x = 4 + 20 + 3x

6x - 3x = 24 - 14

3x = 10

x = 10/3

x = 3.33 grams

In conclusion, each square is 3.33 grams.

Find out more on problems requiring equating at brainly.com/question/20213883.