Respuesta :
Answer :
(a) [tex]1.00\text{ mile}=1.61km[/tex]
(b) [tex]1.00km=3.28\times 10^3ft[/tex]
Explanation :
As are given:
1 inch = 2.54 cm
(a) Now we have to convert the number of kilometers in 1.00 mile.
Conversions used:
1 mile = 5280 ft
1 ft = 12 inch
1 inch = 2.54 cm
1 cm = 10⁻⁵ km
Thus,
[tex]1.00\text{ mile}=5280ft\times \frac{12in}{1ft}\times \frac{2.54cm}{1in}\times \frac{10^{-5}km}{1cm}[/tex]
[tex]1.00\text{ mile}=1.61km[/tex]
(b) Now we have to convert the number of feet in 1.00 km.
[tex]1.00km=10^5cm\times \frac{1in}{2.54cm}\times \frac{1ft}{12inch}[/tex]
[tex]1.00km=3.28\times 10^3ft[/tex]
Part A
The unit 1 mile is equivalent to 1.61 km.
Part B
The unit 1 km is equivalent to 3280 ft.
How do you convert the miles into km and km into feet?
Part A
The unit 1 miles will convert into km. We know that 1 mile = 5280 ft and 1 ft = 12 inch.
Given that 1 inch = 2.54 cm. Hence
1 mile = 5280 ft.
1 mile = [tex]5280 \times 12[/tex] inch
1 mile = [tex]63360 \times 2.54[/tex] cm
1 mile = 160934.4 cm
Now, 1 cm = 10^-5 km. Then
1 mile = [tex]160934.4 \times 10^{-5}[/tex] km
1 mile = 1.61 km
The unit 1 mile is equivalent to 1.61 km.
Part B
The unit 1 km will convert into feet. We know that 1 km = 10^5 cm
Given that 1 inch = 2.54 cm
1 km = [tex]10^5[/tex] cm
1 km = [tex]10^5 \times \dfrac {1}{2.54}[/tex] inch
1 km = [tex]10^5 \times \dfrac {1}{2.54}\times \dfrac{1}{12}[/tex] ft.
1 km = 3280 ft.
The unit 1 km is equivalent to 3280 ft.
To know more about the inch, km and feet, follow the link given below.
https://brainly.com/question/9198905.
