Answer:
The equation is 
Step-by-step explanation:
From the question we are told that
The diameter endpoints is (-8, -3, -10) and (-6, 1, -4)
Generally the equation of a sphere with center coordinates (a, b , c ) and radius r is mathematically represented as
Now since we are given the endpoints of the diameter then we can obtain the center coordinates as follows
![(a, b , c) = [ \frac{ -8 +(-6)}{2} , \frac{-3 + (1)}{ 2} , \frac{ -10 + (-4)}{2} ]](https://tex.z-dn.net/?f=%28a%2C%20b%20%2C%20c%29%20%3D%20%20%5B%20%5Cfrac%7B%20-8%20%2B%28-6%29%7D%7B2%7D%20%20%2C%20%20%5Cfrac%7B-3%20%2B%20%281%29%7D%7B%202%7D%20%20%2C%20%5Cfrac%7B%20-10%20%2B%20%28-4%29%7D%7B2%7D%20%5D)
![(a, b , c) = [ -7 , -1.5 , -7 ]](https://tex.z-dn.net/?f=%28a%2C%20b%20%2C%20c%29%20%3D%20%20%5B%20-7%20%2C%20%20-1.5%20%20%2C%20-7%20%5D)
Now the length of the diameter is evaluated as
Now the radius is mathematically represented as
So
Answer:
Step-by-step explanation:
i think it a
The answer is ALL OF THE ABOVE. Hope this helps
Answer:
54.8 Nm
Step-by-step explanation:
Torque is the cross product of the radius vector and force vector:
τ = r × F
Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.
τ = rF sin θ
Here, r = 0.366 meters and F = 155 Newtons. F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.
τ = (0.366 m) (155 N) (sin 75°)
τ = 54.8 Nm
Click to let others know, how helpful is it
Wellll, its going to come out as 3.2962962963. But you can always round it to 3.30.
Hope this helped
