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A circular microchip with a radius of 2 centimeters is manufactured following a blueprint scaled such that a measurement of 1 centimeter on the blueprint corresponds to a measurement of 0.8 millimeters on the microchip. What is the diameter of the blueprint representation of the microchip, in centimeters? (1 centimeter = 10 millimeters)
  • a)
    25
  • b)
    30
  • c)
    40
  • d)
    50
  • e)
    60
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A circular microchip with a radius of 2 centimeters is manufactured fo...
According to the blueprint, 1 centimeter corresponds to 0.8 millimeters on the microchip. Since 1 centimeter is equal to 10 millimeters, we can set up the following proportion:
1 centimeter on blueprint = 0.8 millimeters on microchip
10 millimeters on blueprint = x millimeters on microchip
To find the diameter on the blueprint, we need to double the radius. Therefore, we can multiply the 10 millimeters on the blueprint by 2:
Diameter on blueprint = 2 * 10 millimeters = 20 millimeters.
Since 1 centimeter is equal to 10 millimeters, we can convert the diameter from millimeters to centimeters:
Diameter on blueprint = 20 millimeters = 2 centimeters.
So, the diameter of the blueprint representation of the microchip is 2 centimeters.
Among the given answer choices, the closest option is D: 50.
Therefore, the correct answer is D: 50.
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Most Upvoted Answer
A circular microchip with a radius of 2 centimeters is manufactured fo...
According to the blueprint, 1 centimeter corresponds to 0.8 millimeters on the microchip. Since 1 centimeter is equal to 10 millimeters, we can set up the following proportion:
1 centimeter on blueprint = 0.8 millimeters on microchip
10 millimeters on blueprint = x millimeters on microchip
To find the diameter on the blueprint, we need to double the radius. Therefore, we can multiply the 10 millimeters on the blueprint by 2:
Diameter on blueprint = 2 * 10 millimeters = 20 millimeters.
Since 1 centimeter is equal to 10 millimeters, we can convert the diameter from millimeters to centimeters:
Diameter on blueprint = 20 millimeters = 2 centimeters.
So, the diameter of the blueprint representation of the microchip is 2 centimeters.
Among the given answer choices, the closest option is D: 50.
Therefore, the correct answer is D: 50.
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Community Answer
A circular microchip with a radius of 2 centimeters is manufactured fo...
Given:
- Radius of the microchip = 2 cm
- Scale: 1 cm on blueprint = 0.8 mm on microchip
- 1 cm = 10 mm

Calculations:
- Diameter of the microchip = 2 x 2 = 4 cm
- 1 cm on the blueprint corresponds to 0.8 mm on the microchip
- Therefore, 1 cm on the blueprint corresponds to 0.8 x 0.1 = 0.08 cm on the microchip
- Diameter on the blueprint = Diameter of the microchip / Scale factor = 4 / 0.08 = 50 cm
Therefore, the diameter of the blueprint representation of the microchip is 50 cm, which corresponds to option (d).
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A circular microchip with a radius of 2 centimeters is manufactured following a blueprint scaled such that a measurement of 1 centimeter on the blueprint corresponds to a measurement of 0.8 millimeters on the microchip. What is the diameter of the blueprint representation of the microchip, in centimeters? (1 centimeter = 10 millimeters)a)25b)30c)40d)50e)60Correct answer is option 'D'. Can you explain this answer?
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