Amodel boat is 13.2 inches long. the scale of the model to the original is 2 inches : 5 feet . how long is the boat?

The boat is 33 feet long

Step-by-step explanation:

* Lets explain how to solve the problem

- The scale factor is a ratio between the drawing length and the

  actual length

- The two terms of the ratio must have the same unit, then the two

 terms of the scale factor must have the same units

* Lets solve the problem

- The scale drawing is 2 inches : 5 feet

∵ 1 foot = 12 inches

∴ 5 feet = 5 × 12 = 60 inches

∴ The scale drawing is 2 : 60

- Simplify it by dividing each term by 2

∴ The scale factor is 1 : 30

∵ The length of the model boat is 13.2 inch

∴      1      :      30

      13.2  :  actual length

- By using cross multiplication

∴ The actual length = (13.2 × 30)/1 = 396 inches

∵ The actual length is 396 inches

∵ 1 inch = 1/12 feet

∴ The actual length of the boat = 396 × 1/12 = 33 feet

* The boat is 33 feet long

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1