Answer:
∠ ABC ≈ 137.9°
Step-by-step explanation:
Using the Cosine rule in Δ ABC
cos B = 
with a = 89, b = 144, c = 65
cos B = 
= 
= 
, thus
B = 
( - 
) ≈ 137.9° ( to the nearest tenth )
Answer:
see below
Step-by-step explanation:
Find the magnitude (-1)^2 + (sqrt3)^2 = m^2 m = 2
find the angle arctan (sqrt3/-1) = 120 degrees
the cube root would then be
![\sqrt[3]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%7D)
(cos 40 + isin 40)
You might need a maths degree for this one, I believe it’s 4 but don’t quote me on that.
Answer:
a. yes
b. Q
c. line MP
Step-by-step explanation:
a. "Collinear" means "on the same line". The diagram shows point K on the same line with M and P, so ...
yes, M, P, and K are collinear
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b. N, W, and U are the corners of face NUWQ, so point Q is also in that plane.
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c. The plane MPQ includes face MPQN. The plane TVP includes face TVPM.
Line MP (or PM) is the line where these planes intersect.
