Solve the problem.If the three lengths of the sides of a triangle are known, Heron's formula can be used to find its area. If a, b, and c are the three lengths of the sides, Heron's formula for area is: A = 
where s is half the perimeter of the triangle, or s = 
(a + b + c).Use this formula to find the area of the triangle if a = 4 cm, b = 10 cm and c = 12 cm. 
A. 8
sq. cm
B. 3
sq. cm
C. 3
sq. cm
D. 3
sq. cm
Answer: D
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Solve the problem.When a particular circuit containing a resistor, an inductor, and a capacitor in series is connected to a battery, the current i (in amperes) is given by i = 23e-3t(e2.6t - e-2.6t) where t is the time (in seconds). Find the time at which the maximum current occurs.
A. 0.6 sec B. 1.5 sec C. 0.5 sec D. 1.4 sec
Solve the problem.Find the P/E ratio of a corporation that reported last year's net income of $10.66 per share if the company's stock sells for $28.59 per share.
A. 4 B. 3 C. 1 D. 30
Provide an appropriate response.Which of the other three methods for solving quadratic equations is used to derive the quadratic formula?
What will be an ideal response?
Solve the problem.A wildlife researcher is monitoring a black bear that has a radio telemetry collar with a transmitting range of 30 miles. The researcher is in a research station with her receiver and tracking the bear's movements. If we put the origin of a coordinate system at the research station, what is the equation of all possible locations of the bear where the transmitter would be at its maximum range?
A. x2 + y2 = 60 B. x2 + y2 = 30 C. x2 - y2 = 30 D. x2 + y2 = 900