To get the longest perimeter, smallest angle (B & C) should correspond to side 16 #a / sin ( (2pi)/3) = 16 / sin (pi/6)# #a = (16 * sin ( (2pi)/3)) / sin (pi/6) = 27.7128# Perimeter #P_t = a + b + c = 16 + 27.7128 …

Feb 16, 2016 · A triangle has sides A, B, and C. The angle between sides A and B is # (2pi)/3#. If side C has a length of #12 # and the angle between sides B and C is #pi/12#, what is the length of side A? …

Explanation: Three angles are # (2pi) /3, pi/4, pi/12# as the three angles add up to #pi^c# To get the longest perimeter, side 19 should correspond to the smallest angle #pi/12# #19 / sin (pi/12) = b / sin …

If a projectile is shot at an angle of # (2pi)/3# and at a velocity of #23 m/s#, when will it reach its maximum height?

Feb 14, 2016 · The polar form of a complex number (x, y) = x + i y is r #e ^ (i theta)# = r (cos (#theta#) + i sin (#theta#)). Here, r = 23 # and theta# = 2 #pi# /3. cos (#2pi# /3) = cos (# pi - pi/3#) = - cos …

Two corners of a triangle have angles of # (2 pi )/ 3 # and # ( pi ) / 4 #. If one side of the triangle has a length of # 12 #, what is the longest possible perimeter of the triangle? GeometryPerimeter, Area, …

The area of the incircle is =1.62u^2 The area of the triangle is A=3 The angle hatA=1/2pi The angle hatB=1/4pi The angle hatC=pi- (1/2pi+1/4pi)=1/4pi The sine rule is a/ (sin hat (A))=b/sin hat (B)=c/sin …

Apr 25, 2017 · This is a practical method: Period of tan x --> pi Period of tan (3x) --> (pi/3) Period of tan (x/3) --> (3pi) Period of sin x --> 2pi Period of sin (3x) --> (2pi)/3 ...

A projectile is shot from the ground at a velocity of #5 m/s# and at an angle of # (2pi)/3#. How long will it take for the projectile to land? Physics1D MotionFalling Objects

Apr 2, 2018 · Explanation: The angles of the equilateral triangles meet the circle so the joining the centre with those three angles will form three separate triangles. using #1/2ab times sinc#, the area of the …