I reduced a diagram on my computer using a scale factor of 8o%(i.e. the linear dimensions of the diagram were reduced so they became 80% of the original dimensions). What scale factor is required to return the diagram to original size?
say we had a line 10 cm long
after reduction it is 8 cm long
now to get back to ten:
10 = scale factor * 8
10/8 = 1.25
That is the trouble with the %^&* stock market :)
If you lose 20%
You need to gain 25% to get back where you were :)
To return the diagram to its original size after it has been reduced by a scale factor of 80%, you need to find the reciprocal of the scale factor.
The scale factor is 80%, which can be written as a decimal by dividing 80 by 100:
80% = 80/100 = 0.8
To find the reciprocal of 0.8, divide 1 by 0.8:
1 / 0.8 = 1.25
Therefore, the scale factor required to return the diagram to its original size is 1.25.
To determine the scale factor required to return the diagram to its original size, we need to determine the reciprocal of the scale factor used to reduce the diagram.
The scale factor used to reduce the diagram is 80%, which means the diagram's linear dimensions were reduced to 80% of their original size.
To find the reciprocal of 80%, we can follow these steps:
1. Convert 80% to a decimal by dividing it by 100: 80 ÷ 100 = 0.8
2. Calculate the reciprocal of 0.8 by dividing 1 by 0.8: 1 ÷ 0.8 = 1.25
Therefore, the scale factor required to return the diagram to its original size is 1.25 or 125% (since 1 is the original size and the reciprocal is larger than 1).