A carpenter who is installing cabinets uses thin pieces of material called shims to fill gaps. The carpenter uses four shims to fill a gap that is 1.2 centimeters wide. Three of the shims are 0.75 centimeter, 0.125 centimeter, and 0.09 centimeter wide. What is the width of the fourth shim?
1.2 - (0.75 + 0.125 + 0.09) = 1.2 - 0.965 = 0.235
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answer is 0.235
To find the width of the fourth shim, we need to subtract the sum of the widths of the three known shims from the total width of the gap.
1. Start by adding the widths of the three known shims: 0.75 cm + 0.125 cm + 0.09 cm = 0.965 cm.
2. Now subtract the sum from the total gap width: 1.2 cm - 0.965 cm = 0.235 cm.
Therefore, the width of the fourth shim is 0.235 centimeters.