A state map has county lines as shown. If the counties are to be colored and no two counties which share a border can have the same color, what is the minimum number of colors required for this map? Explain your solution.
Divide the pentagon into three triangles. The sum of the degree measures
of the three triangles is the same as the sum of the degree measures of the
vertex angles of the regular pentagon. Since each vertex angle in the regular
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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (cos 2t)i + (4 sin t)j
A. a = (-4 cos 2t)i + (-16 sin t)j B. a = (-4 cos 2t)i + (-4 sin t)j C. a = (-2 cos 2t)i + (4 sin t)j D. a = (4 cos 2t)i + (-4 sin t)j
Solve the problem.In an electric field, the lines of force are perpendicular to the curves of equal electric potential. In a certain electric field, a curve of equal potential is 
If the line along which the force acts on an electron has an inclination of 135°, find its equation.
A. y = -x + 16 B. y = -x + 8 C. y = x + 8 D. y = x + 16
Find the missing parts of the triangle. C = 35°30'a = 18.76c = 16.15If necessary, round side lengths to the nearest hundredth.
A. no such triangle B. A1 = 102°05', B1 = 42°25', b1 = 17.52; A2 = 6°55', B2 = 137°35', b2 = 26.19 C. A1 = 42°25', B1 = 102°05', b1 = 27.2; A2 = 137°35', B2 = 6°55', b2 = 3.35 D. A = 42°25', B = 102°05', b = 25.19
Rewrite as a complex fraction and simplify.
A. 
B. 
C. 
D. 