For this case, the first thing we must do is to take into account the following transformation of units:
1 revolution = 2pi radians
1 minute = 60 seconds
Applying the transformation of units we have:
Answer:
To the nearest hundredth, the angular velocity of the drum is 78.54 radians per second.
x=3.95
Explanation
From the given information we find that the triangle is right angled at C. CB is the base,AC is the height and AB is the hypotenuse.
Given that D is the hypotenuse of the hypotenuse AB.
BC=6
BD=4.2
AD=x
the height and the base of the triangle is given.
Using pythagoras theorem, we can find the hypotenuse AB.

D is the midpoint of AB
therefore AD=AB/2=
=3.905
x=3.905 cm
There is only 1 real number solution
Just take the coordinates of both those red dots and use the slope formula: y2-y1 all divided by x2-x1. that should give you slope
Answer:
x > 4/3
Step-by-step explanation:
The first inequality can be solved this way ...
3x -91 > -87
3x > 4 . . . . . . . add 91
x > 4/3 . . . . . . divide by 3
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The second inequality has solution ...
21x -17 > 25
21x > 42 . . . . . . add 17
x > 2 . . . . . . . . . divide by 21
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The solution set is the union of these overlapping solutions, so will be equal to the first solution:
x > 4/3