Determine the area of a triangle having the following measurements. Round your answer to two decimal places. A = 114°, b = 6, and c = 9
A) 22.20 sq. units
B) 24.67 sq. units
C) 19.73 sq. units
D) 29.60 sq. units
E) 27.13 sq. units
B) 24.67 sq. units
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The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the parabola and its associated equation.Equation of parabola: f(x) = 3x - x2; associated equation: 0 = 3 - 2x
A. 
B. 
C. 
D. 
The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If it is, identify the hypotenuse.4, 8, 10
A. right triangle; 10 B. right triangle; 4 C. right triangle; 8 D. not a right triangle
Solve the problem using matrices.The final grade for an algebra course is determined by grades on the midterm and final exam. The grades for four students and two possible grading systems are modeled by the following matrices. src="https://sciemce.com/media/4/ppg__tttt0526190933__f1q86g6.jpg" style="vertical-align: -15.0px;" />Find the final course score for Student 3 for both grading System 1 and System 2.
A. System 1: 61.1; System 2: 110.9
B. System 1: 87.8; System 2: 86
C. System 1: 77.8; System 2: 76
D. System 1: 39.8; System 2: 53
Solve.When Milo got promoted at work, he received a 25% pay raise. He now earns 
per year. What was his annual salary before his raise?
A. $50,000 B. $12,500 C. $40,000 D. $10,000