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Answer :
Final answer:
The area of the telescope lens is approximately 6.9 x 10^-3 square feet. It would take approximately 1529.986 seconds to polish the entire lens.
Explanation:
To calculate the area in square feet, we need to convert the given area from mm² to ft². We can use the conversion factor:
1 ft² = 929.0304 mm²
So, to convert the given area of 6.420 x 100 mm² to ft², we divide it by the conversion factor:
Area in ft² = (6.420 x 100 mm²) / 929.0304 mm²
Area in ft² = 0.0069 ft² (in scientific notation: 6.9 x 10^-3 ft²)
To calculate the time it takes to polish the entire lens, we need to determine how many times the technician needs to polish the given area. We can do this by dividing the area of the entire lens by the given area:
Number of times to polish = Area of entire lens / Area of given area
Number of times to polish = (6.420 x 100 mm²) / (1.57 x 10² mm²)
Number of times to polish = 40.89
Finally, we multiply the number of times to polish by the time it takes to polish the given area:
Time to polish entire lens = Number of times to polish x Time to polish given area
Time to polish entire lens = 40.89 x 37.4 s
Time to polish entire lens = 1529.986 s (rounded to the nearest whole number)
Learn more about calculating area in square feet and time required to polish a lens here:
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Final answer:
The area of the telescope lens is approximately 6.9 x 10^-3 square feet. It would take approximately 1529.986 seconds to polish the entire lens.
Explanation:
To calculate the area in square feet, we need to convert the given area from mm² to ft². We can use the conversion factor:
1 ft² = 929.0304 mm²
So, to convert the given area of 6.420 x 100 mm² to ft², we divide it by the conversion factor:
Area in ft² = (6.420 x 100 mm²) / 929.0304 mm²
Area in ft² = 0.0069 ft² (in scientific notation: 6.9 x 10^-3 ft²)
To calculate the time it takes to polish the entire lens, we need to determine how many times the technician needs to polish the given area. We can do this by dividing the area of the entire lens by the given area:
Number of times to polish = Area of entire lens / Area of given area
Number of times to polish = (6.420 x 100 mm²) / (1.57 x 10² mm²)
Number of times to polish = 40.89
Finally, we multiply the number of times to polish by the time it takes to polish the given area:
Time to polish entire lens = Number of times to polish x Time to polish given area
Time to polish entire lens = 40.89 x 37.4 s
Time to polish entire lens = 1529.986 s (rounded to the nearest whole number)
Learn more about calculating area in square feet and time required to polish a lens here:
https://brainly.com/question/13060921
#SPJ14
