Chapter 3, Problem 27RE

2 10) The letters x and y represent rectangular coordinates. Write the equation x² + 4y = 4 using polar coordinates (r, e). A) 4 cos² 0 + sin² 0 = 4r C) r²(4 cos² 0 + sin² 0) = 4 B) cos² 0 + 4 sin² 0 = 4r D) r² (cos20 + 4 sin² 0) = 4

2) A radio transmission tower is 130 feet tall. How long should a guy wire be if it is to be attached 6 feet from the top and is to make an angle of 20° with the ground? Give your answer to the nearest tenth of a foot.

4) Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results. b=6, c=7, B = 80° A) one triangle B=40°, A = 60°, a = 13 C) one triangle C 39°, A 61°, a = 15 = B) one triangle C=41°, A = 59°, a = 17 D) no triangle

7) A painter needs to cover a triangular region 63 meters by 67 meters by 74 meters. A can of paint covers 70 square meters. How many cans will be needed?

12) Match the graph to one of the equations. 71 5+ 4+ 2. 32 ←IIIIIII -8 -7 -6 -5 -4-3-2-11 1 2 3 4 5 6 7 8 r -2+ -3+ -4+ -5+ -6+ -7⋅ A) r=3+4 sin 0 B) r 4+3 cos C) r=4+3 sin 0 D) r=3+4 cos 0

Ꮓ Find ✓. Leave your answer in polar form. 7π 7π Z = 3 cos + i sin 4 4 9π 9π w W = 6 cos + i sin 4 4

Write the complex number in rectangular form. 11π 117 COS + i sin 6 6

8) The polar coordinates of a point are given. Find the rectangular coordinates of the point. (-7, 3157) 2π

3) Solve the triangle. 7 20° B с 110° A) C 55°, a = 19.23, c = 15.68 B) C = C) C=45°, a 15.68, c = 19.23 D) C 50°, a 19.23, c = 15.68 = 50%, a= 15.68, c = 19.23