Questions on Algebra: Coordinate systems, graph plotting, etc answered by real tutors!

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Question 1210148: Three unit squares and two line segments connecting two pairs of vertices are shown. What is the area of triangle ABC?

A is at (0,0), B is at (1,0), and C is at (1,1).
Click here to see answer by ikleyn(52752) About Me 
Question 1210191: What is the distance between the points (\cos 37^{\circ}, \sin 37^{\circ}) and (\cos 127^{\circ}, \sin 127^{\circ})?
Click here to see answer by CPhill(1959) About Me 
Question 1210191: What is the distance between the points (\cos 37^{\circ}, \sin 37^{\circ}) and (\cos 127^{\circ}, \sin 127^{\circ})?
Click here to see answer by ikleyn(52752) About Me 
Question 1167905: The region R in the first quadrant is bounded by y=6sin(πx/2), y=6(x-2)^2 and y=4x+2, and contains the point (2,6)
The volume of the solid generated by rotating R about the x-axis is:
The volume of the solid generated by rotating R about the y-axis is:
The volume of the solid with R as its base and square cross-sections perpendicular to the x-axis (and to the xy-plane) is:
Click here to see answer by CPhill(1959) About Me