Michael's father broughthim a 16-foot board to cut into 11 equal sizes lengths for his shelves
The saw blade that Michael will use to cut the board will change the length of the board by -0.125 inches for each cut. How will this affect the total length of the board?
The size of the cut will not, of course, change the length of the board. It will, of course, affect the total length of the cut pieces, since 1.25" will be lost after 10 cuts.
I suspect there is more to this problem than what you asked, but if you want answers, you have to ask questions.
To determine how the saw blade will affect the total length of the board, you need to calculate how much length will be lost for each cut and then multiply it by the number of cuts Michael will make.
Given:
Initial length of the board: 16 feet
Length reduced by each cut: -0.125 inches
First, let's convert the length reduction from inches to feet:
1 inch = 1/12 feet
So, -0.125 inches = -0.125/12 feet = -0.0104 feet (rounded to four decimal places)
Now we have the length reduced by each cut: -0.0104 feet
Next, calculate the number of cuts Michael will make:
Michael wants to cut the board into 11 equal-sized lengths.
Therefore, the number of cuts will be 11 - 1 = 10.
Now multiply the length reduction per cut by the number of cuts:
-0.0104 feet * 10 = -0.104 feet
Therefore, the saw blade will reduce the total length of the board by approximately 0.104 feet.