Question

Hey I was doing a math assignment and i need your help

Answer 1

`6(1)/(3)\text{ }`

Step-by-step explanation

The given scale factor of Abraham Lincoln is:

`1\text{ inch }=(4)/(9)\text{ f}eet`

The height of Lincoln on the poster is:

`14(1)/(4)\text{ inches}`

What to find:

Lincoln's actual height in feet.

Let Lincoln's actual height in feet be represented as x:

`\begin{gathered} \text{Since 1 inch }=(4)/(9)\text{ f}eet \\ \text{then }14(1)/(4)\text{ inches }=x\text{ f}eet \end{gathered}`

To get the value of x, cross multiply:

`\begin{gathered} x*1=14(1)/(4)*(4)/(9) \\ x=(57)/(4)*(4)/(9) \\ x=(57)/(9) \\ x=(19)/(3) \\ x=6(1)/(3)\text{ fe}et \end{gathered}`