Please HELP I AM SO CONFUSED IT would Mean the WORLD IF YOU COULD HELP A toy manufacturer is designing a new triangular-shaped toy. The company would like the toy to have a specific area. The company specified that the area of the toy must be 60 square inches and the length of the base must be 12 inches. Formula: A= b x h/2
Use your equation/formula to determine the height of the new toy.

Explanation:

To get the area of a triangle, we multiply the base (b) by the height (h), then we divide by 2. That leads to the value of A.

So that explains the equation A = b x h/2 which is the same as A = b*h/2

We can multiply both sides by 2 to get 2A = b*h

This flips to b*h = 2A

If we divide both sides by b, then we get the formula

h = 2A/b

The variable h is isolated on its own side.

Next, we'll plug in the given area of A = 60 square inches and the base of b = 12 inches.

This leads to a height of...

h = 2A/b

h = 2*60/12

h = 120/12

h = 10

The height must be 10 inches.

Let's check the answer

So we are given the base of b = 12 and we just found the height to be h = 10.

The area of the triangle is...

Area = (base*height)/2

A = (b*h)/2

A = (12*10)/2

A = 120/2

A = 60

Since we get the proper area, this confirms we have the correct height.

75%

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .