QQuestionMathematics
QuestionMathematics
Convert the height of a person who is 5.2 feet tall to centimeters. Include the inches-centimeter conversion
factor. Use the table given to create conversion factors. Show all conversion factors needed.
Round final answer to 2 decimal places if needed. The setup below should look like the typical dimensional
analysis that you learned.
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:: Write down the height of the person in feet.
The height of the person is 5.2 feet.
Step 2:: Identify the conversion factor between feet and inches.
1 ~\text{foot} = 12 ~\text{inches}
From the table, we can see that there are 12 inches in a foot. So, the conversion factor is:
Step 3:: Convert the height from feet to inches.
5.2 ~\text{feet} \times \frac{12 ~\text{inches}}{1 ~\text{foot}} = 62.4 ~\text{inches}
To convert the height from feet to inches, multiply the height in feet by the conversion factor:
Step 4:: Identify the conversion factor between inches and centimeters.
1 ~\text{inch} = 2.54 ~\text{centimeters}
From the table, we can see that there are 2.54 centimeters in an inch. So, the conversion factor is:
Step 5:: Convert the height from inches to centimeters.
62.4 ~\text{inches} \times \frac{2.54 ~\text{centimeters}}{1 ~\text{inch}} = 158.454 ~\text{centimeters}
To convert the height from inches to centimeters, multiply the height in inches by the conversion factor:
Final Answer
The height of the person is 158.45 centimeters (rounded to 2 decimal places).
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students