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Solve the indicated systems of equations using the inverse of the coefficient matrix. It is necessary to set up the appropriate equations. A research chemist wants to make 10.0 L of gasoline containing 2.0% of a new experimental additive. Gasoline without additive and two mixtures of gasoline with additive, one with 5.0% and the other with 6.0%, are to be used. If four times as much gasoline without additive as the 5.0% mixture is to be used, how much of each is needed?
In the United States, circular railroad curves are designated by the degree of curvature, the central angle subtended by a chord of 100 ft. Suppose a portion of track has curvature . (a) What is the radius of the curve? (b) What is the length of the arc determined by the 100-ft chord? (c) What is the area of the portion of the circle bounded by the arc and the 100-ft chord?
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