t = mr^2/3
Divide both sides by r^2/3
m = t / r^2/3
Simplify brackets
2/5(x - 4) = 2x
Simplify 2/5(x - 4) to 2(x - 4)/5
2(x - 4)/5 = 2x
Multiply both sides by 5
2(x - 4) = 10x
Divide both sides by 2
x - 4 = 5x
Subtract x from both sides
-4 = 5x - x
Simplify 5x - x to 4x
-4 = 4x
Divide both sides by 4
-1 = x
Switch sides
<u>x = -1</u>
Answer:
Each knight will 4.8 hrs spend on guard in one day
Step-by-step explanation:
A castle has to be guarded 24 hours a day 5 knights are ordered to split each day's guard duty equally
Each knights has to guard equally l.e for equal time .
That means 24 hours time has to be equally divided among the 5 knights
= 24 / 5 = 4.8
Each knight will spend on guard in one day = 4.8 hrs
Answer:
A possible solution is that radius of cone B is 2 units and height is 36 units
Step-by-step explanation:
Step-by-step explanation:
The volume of a cone is given by
where
r is the radius
h is the height
Here we are told that both cones A and B have the same volume, which is:
And
(2)
We also know that cone A has radius 6 units:
and height 4 units:
For cone B, from eq.(2), we get
One possible solution for this equation is
In fact in this case, we get:
Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.
