Question

A circle has a mass of 3 grams and a square has a mass of 2 grams. Which is the mass of a triangle?

Answer 1

Answer:

C

Step-by-step explanation:

The diagram shows the system in equilibrium. Left part consists of 3 circles, 2 triangles and 6 squares. Right part consists of 2 circles, 5 triangles and 3 squares.

If this system is in equilibrium, then the mass of the left part is the same as the mass of the right part.

The mass of the left part:

$3\cdot 3+2\cdot \triangle +6\cdot 2=2\triangle+9+12=2\triangle+21\ grams$

The mass of the right part:

$2\cdot 3+5\cdot \triangle+3\cdot 2=5\triangle +6+6=5\triangle +12\ grams$

Hence,

$5\triangle +12=2\triangle +21\\ \\5\triangle -2\triangle =21-12\\ \\3\triangle =9\\ \\\triangle =3\ grams$

Answer 2

The mass of the triangle is 3 grams.

Given information:

A circle has a mass of 3 grams and a square has a mass of 2 grams.

From the given diagram of a mass balance, it can be concluded that:

• The left side of the balance contains 6 squares, 2 triangles, and 3 circles.
• The right side of the balance contains 3 squares, 5 triangles, and 2 circles.

Now, the left and right sides are balanced. So, the mass of left side will be equal to the mass of right side.

Let x be the mass of a triangle shape.

So, the value of x can be calculated as,

$\texttt{mass of left side = mass of right side} \\6\times 2+2x+3\times 3=3\times 2+5x+2\times 3\\12+9+2x=6+6+5x\\3x=9\\x=3$

Therefore, the mass of the triangle is 3 grams.

For more details, refer to the link:

https://brainly.com/question/13436898