The bead is in a cylindrical shape and the formula for solving the volume of a cylinder is V=pi*r²*h where "r" is the radius, "h" for the height.
We have given values such as:
r=diameter/2 = 2/2 = 1mm
h= 8mm
Solving for the volume, we have:
V=3.14*1²*8
V=24.12 mm²
Answer:
See attached picture.
Step-by-step explanation:
See attached picture.
For remaining parts resubmit question.
Answer: B) -56i - 24
This is the same as -24 - 56i
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Explanation:
The 'i' refers to the imaginary number 
In other words, 
Squaring both sides gets us 
So,

The result is in the form a+bi where a = -24 is the real part and b = -56 is the imaginary part.
Answer:
60,120
Step-by-step explanation:
We know that angles on the same side of the transversal always add up to 180 ( are supplementary)
Hence, taking one of the angles as x we get,
x+(60+x)=180
2x+60=180
2x=120
x=60
Hence, one angle is 60 degrees while the other 120 degrees
Given:
The inequalities are:


To find:
The integer values that satisfy both inequalities.
Solution:
We have,


For
, the possible integer values are
...(i)
For
, the possible integer values are
...(ii)
The common values of x in (i) and (ii) are

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.