Answer:
x = 2
Step-by-step explanation:
The measure of minor arc FD is 51x + 1
The measure of major arc FD is 360 - (51x + 1)
m<E = ½[m(major arc FD) - m(minor arc FD)]
36x + 5 = ½[360 - (51x + 1) - (51x + 1)]
72x + 10 = 360 - 51x - 1 - 51x - 1
174x = 348
x = 2
The area of a rhombus can be computed from its side (s) and angle (θ) by
.. A = s^2*sin(θ)
For your numbers, this is
.. A = (12 cm)^2*sin(60°) ≈ 124.7 cm^2
Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = r1 ( cos theta 1 + i sin theta 1)
z2 = r2 ( cos theta 2 + i sin theta 2)
z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)
z1 = 2(cos 70° + i sin 70°)
z2 = 4(cos 200+ i sin 200)
z1z2 = 2*4 (cos (70+200) + i sin (70+200)
z1z2 = 8 (cos(270) + i sin (270))
= 8 (0 + i (-1))
=-8i
