Answered

Find the best solutions to your problems with the help of IDNLearn.com's expert users. Get step-by-step guidance for all your technical questions from our dedicated community members.

A scale drawing of a truck is shown.

Use the ratio table to find the length of the actual truck.

\begin{tabular}{|c|c|}
\hline
Scale Drawing (in.) & Actual Truck (ft) \\
\hline
2 & 8 \\
\hline
6 & 24 \\
\hline
\end{tabular}

What is the scale factor from the drawing to the actual truck?

Scale [tex]$= 2$[/tex] in. [tex]$: 8$[/tex] ft

The scale factor is [tex]$\square$[/tex].

Sagot :

GinnyAnsweridn
Okay, let's find the scale factor from the scale drawing to the actual truck. Here is the step-by-step solution:

1. Identify the given values:
- The length of the scale drawing is 2 inches.
- The length of the actual truck is 8 feet.

2. Understand the concept of a scale factor:
- A scale factor is a number by which a quantity is multiplied to scale or resize it. It connects the dimensions of the drawing to the dimensions of the actual object.

3. Set up the ratio with given data:
- We have 2 inches in the scale drawing corresponding to 8 feet for the actual truck.

4. Calculate the scale factor:
- To find the scale factor, you divide the length of the actual truck by the length of the scale drawing.

[tex]\[ \text{Scale Factor} = \frac{8 \text{ feet}}{2 \text{ inches}} \][/tex]

5. Perform the division:

[tex]\[ \text{Scale Factor} = \frac{8}{2} = 4 \][/tex]

Therefore, the scale factor from the scale drawing to the actual truck is [tex]\( 4 \)[/tex].

So, the scale factor is [tex]\( \boxed{4.0} \)[/tex].
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.