Classify the types of triangles in the following figure based on their sides: a) ABC, AB = BC = 5 cm, CA = 3 cm
b) PQR, PQ = 4cm, QR = 5 cm, PR = 3 cm
c) MNP, MN = NP = PM = 7 cm

Find parametric equations for the line. (enter your answers as a comma-separated list of equations. let x, y, and z be functions of t.) the line in the direction of the vector 5 i + 5 j − 6k and through the point (−4, 4, −2).

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)