College

The area of a telescope lens is [tex]6.676 \times 10^n \text{ mm}^2[/tex].

(a) What is the area in square feet? Enter your answer in scientific notation.

(b) If it takes a technician 51.7 seconds to polish [tex]1.46 \times 10^n \text{ mm}^2[/tex], how long does it take her to polish the entire lens?

Answer :

Answer:

a) A = 7.186 E-4 ft²

b) t = 236.403 s

Explanation:

A = 6.676 E1 mm²

a) A = 6.676 E1 mm² * ( ft / 304.8 mm )²

⇒ A = 7.186 E-4 ft²

b) t = 51.7 s → A = 1.46 E1 mm²

⇒ relation (r) = 6.676 E1 mm² / 1.46 E1 mm² = 4.573

⇒ t = 51.7 s * 4.573 = 236.403 s

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