Answer:
182 inches.
Explanation:
We have been given that Sam is building a model of an antique car. The scale of his model to the actual car is 1:10. His model is 18 1/5 inches long.
![18(1)/(5)=18.2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b9ygliybk9x0tg7t1m49cpbod8sht6ukc0.png)
To find the actual length of the car, we will use proportions as:
![\frac{18.2}{\text{Actual length}}=(1)/(10)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mqvi9e67cdajsyiqp6j31qfeivzutab9nm.png)
Cross multiply:
![\text{Actual length}=18.2* 10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i5qrrt191biqutwy249e2d2ndn62phz7ye.png)
![\text{Actual length}=182](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zu11e2fzp2ligf7k5bm2cl70okmjqh2c0v.png)
Therefore, the actual length of the car is 182 inches.