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How many 2 by 2 squares are there on an 8 by 8 chessboard?
64 squares on the chess board, and 4 squares in a 2 x 2 square; 64 / 4 = 16.
Lumber - How do you calculate board feet?
Though "board foot" sounds a measurement of area it is actually a measurement of volume. 1 board foot equals 144 cubic inches of wood. Length x Width x Thickness = Board Feet Therefore a board that is 12 inches x 12 inches x 1 inch is 1 board foot. But so is a board that is 12 x 6 x 2 However, you must take into account the fact that all lumber is actually a different size than it says it is. A 2 x 12 is actually 1-1/2 by 11-1/2. So instead of a board foot of 1 x 12 being 12 inches long, it would be: 144 / (3/4 x 11-1/2) or 13.22 inches long.
What is X plus 2 equals 4?
-2
Trees - How do you calculate board feet?
Understanding board feet is to know that: A 1" thick board that measures 12" wide, or 1 foot wide, and measures 12" long, or one foot long, is equal to one board foot. (1" x 12" x 12") The measurements for true board feet are measured and calculated by the true end size and length of the material. In construction, there arises a dichotomy, often causing confusion with understanding board feet and calculating board feet. For example, most dimensional lumber including 2 x 4's and 2 x 6's used to frame a conventional house do not measure end size at a full 2" x 4" or, 2 x 6". Rather, they measure 1 1/2" x 3 1/2" and 1 1/2" x 5 1/2" respectively.. As an another example of this dichotomy is, the flooring Contractor who will usually measure in square feet for the job but is faced with ordering 3/4" x 3 1/2" oak tongue and groove flooring that is supplied by the board foot, in this case 3/4" thick material is usually made starting with a 1" thick board. Hence, you are carged for 1000 board feet when the actual measured board feet of the finished material totals something more like 850 board feet. I can work through the formulae with you if you are working with material that is 3/8" thick, or 2 3/4" thick. Basically it is thickness times width times length with consideration for the true end size and length measures.
What is x2-4 over x2 plus 2x-8 times x2 plus 6x plus 8 over x2 plus 4x plus 4?
(x^2-4) (x^2+6x+8) __________ x _________ which is (x^2+2x-8) (x^2+4x+4) (x+2)(x-2) (x^2+4x+2x+8) ___________ x _____________ which is (x^2+4x-2x-8) (x^2+2x+2x+4) (x+2)(x-2) x(x+4)+2(x+4) ___________ x ____________ which is x(x+4)-2(x+4) x(x+2)+2(x+2) (x+2)(x-2) (x+2)(x+4) ________ x _________ which is 1 as all the terms in the num & den cancel (x-2)(x+4) (x+2)(x+2)
