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The annual number of deer-vehicle accidents for a given area can be estimated by the function A(L,T,U,C)=53.57+0.386 L+0.0014 T+0.0025U−0.0003C, where A is the estimated number of accidents, L is the road length (in kilometers), T is the total county land area (in hundred-acres (Ha)), U is the urban land area (in hundredacres), and C is the number of hundred-acres of crop land. Use this formula to estimate the number of deer-vehicle accidents for an area, L=267 km, T=107,475Ha,U=31,699Ha, and C=24,825Ha. The number of accidents is (Round to the nearest integer as needed.)
The holes cut in a roof for vent pipes require elliptical templates. A formula for determining the length of the major axis of the ellipse is given by L=f(H,D)=H2+D2, where D is the (outside) diameter of the pipe and H is the "rise" of the roof per D units of "run"; that is, thi slope of the roof is DH. (See the figure to the right.) The width of the ellipse (minor axis) equals D. Find the length and width of the ellipse required to produce a hole for a vent pipe with a diameter of 3.50in. in roofs with slope 43. The length is in. and the width is in. (Type integers or decimals rounded to two decimal places as needed.)
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