Suppose you have an isosceles triangle, and each of the equal sides has a length of 1 foot. Suppose the angle formed by those two sides is t. Then the area of the triangle is ? in square feet. Of course, your answer will involve t.

Hint: Draw the triangle. Draw the height. It divides the triangle into two congruent right triangles. Compute the missing lengths of the sides of that triangle using the trigonometric functions. Then compute the area of one of those two triangles, and multiply with 2.

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.