Answer: 10
Step-by-step explanation:
pi radians in a semicircle (half circle)
2pi radians in a full circle.
2pi = 2*3.14 = 6.28 approximately, so there are approximately 6.28 radians in a half circle.
2pi radians is equivalent to 360 degrees.
Answer:

Step-by-step explanation:
<em>Hey there!</em>
Cross multiply the given info
60 = 8m
Divide both sides by 8
m = 7.5
<em>Hope this helps :)</em>
Answer:
Magnitude and Direction is 928 and 44
Step-by-step explanation:
For a Vector w = (x)i+(y)j
The Magnitude of w 
and the Direction of w 
So for our Question , w = - 168i - 160j
Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j
Then the Magnitude of -4w = 
and the Direction of -4w =
( to the nearest whole number)
Hope it Helps:)
The volume of the sphere is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere radio
Substituting values:
V1 = (4/3) * (3.14) * ((1/2) ^ 3)
V1 = 0.523 units ^ 3
The volume of the cube is given by:
V2 = L ^ 3
Where,
L: length of the sides
Substituting values:
V2 = 1 ^ 3
V2 = 1 units ^ 3
The unoccupied space is:
V2-V1 = 1-0.523
V2-V1 = 0.477 units ^ 3
Answer:
The unoccupied volume remaining inside the cube is:
0.477 units ^ 3