Answer:
PART A : This formula shows how to find the actual length of the microchip:
actual length = scale length × reciprocal of scale factor.
The scale is 2 inches to 1 centimeter, so the scale factor is . 2in/1cm The reciprocal of the scale factor is . 1cm/2in The length of the chip in the scale drawing is 6 inches.
To find the actual length of the microchip, substitute the values into the formula:
actual length = scale length × reciprocal of scale factor
= 6 in. x (1cm/2in)
= 3 cm
The actual length of the microchip is 3 centimeters.
PART B:
The scale is 2 inches to 1 centimeter, so the scale factor is .2in/1cm The reciprocal of the scale factor is .1cm/2in The width of the chip in the scale drawing is 4 inches.
To find the actual width of the microchip, substitute the values into the formula:
actual width = scale width × reciprocal of scale factor
= 4 in. x (1cm/2in)
= 2 cm
The actual width of the microchip is 2 centimeters.
PART C:
The new scale is 3 inches to 1 centimeter, so the new scale factor is . 3in/ 1cm The actual microchip is 3 centimeters long. Substitute these values into the following equation to find the scale length:
scale length = actual length × scale factor
= 3 cm x (3in/1cm)
= 9 in.
The length of the microchip in the new scale drawing is 9 inches.
PART D:
The width of the microchip in the new scale drawing is 6 inches.
PART E:
In the original scale drawing, the microchip was 6 inches long. In the new scale drawing, the microchip is 9 inches long. Set up the ratio:
ratio . 6in/9 in 3in/2in
In the original scale drawing, the microchip was 4 inches wide. In the new scale drawing, the microchip is 6 inches wide. Set up the ratio:
ratio . 4in/6in 2in/3in
The ratio of the original scale drawing measurements to the new scale drawing measurements is 2 inches to 3 inches.
PART F:
If a scaled measurement is greater than the actual measurement it represents, then the scale drawing is larger than the actual object.
If a scaled measurement is less than the actual measurement it represents, then the scale drawing is smaller than the actual object.
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