A small hole in the wing of a space shuttle requires a 20.7-cm2 patch, (a) What is the patch's area in square kilometers (km2)? (b) If the patching material costs NASA $3.25/in2. What is the cost of the patch?

Respuesta :

Answer:

(a) The area of space shuttle is [tex]2.07\times 10^{-9} km^2[/tex].

(b) $10.427 is the cost of the patch.

Explanation:

Area of the patch of the space shuttle = [tex]20.7 cm^2[/tex]

a) 1 cm = 0.00001 km

[tex]1 cm^2= (0.00001 km)^2=10^{-10}km^2[/tex]

[tex]20.7 cm^2=20.7\times 10^{-10}km^2=2.07\times 10^{-9} km^2[/tex]

b) 1 cm = 0.393701 inch

[tex]1 cm ^2=0.1550 inch^2[/tex]

[tex]20.7 cm^2=20.7\times 0.1550 inch^2=3.2085 inch^2[/tex]

Cost of patching area = [tex]\$3.25/inch^2[/tex]

Cost of patching [tex]3.2085 inch^2[/tex] are:

[tex]\$3.25/inch^2\times 3.2085 inch^2=\$10.427[/tex]