Solution:
<u>Note that:</u>
- 3x + 50 = 6x - 10 (Vertically opposite angles)
Simplify the equation to find x.
<u>Add 10 both sides.</u>
- 3x + 50 = 6x - 10
- => 3x + 50 + 10 = 6x - 10 + 10
- => 3x + 60 = 6x
<u>Subtract 3x both sides.</u>
- 3x + 60 = 6x
- => 3x - 3x + 60 = 6x - 3x
- => 60 = 3x
<u>Divide 3 both sides.</u>
- 60 = 3x
- => 60/3 = 3x/3
- => x = 20
The gcf of both is 11 so it would be 9+4q
The answer is B 20,250 cm
Answer:
h = 9 units of length
Step-by-step explanation:
Volume of a circular right cone is:
V(c) = (1/3)*Area of the circular base * h
Where h is the height of the cone, then
V(c) = (1/3) * π * r² * h
And we have that V(c) = 108*π
Then:
108 * π = (1/3) * π * r² * h (1)
We know diameter of the circular base is 12 units, according to that
r = d/2 ⇒ r = 12/2 r = 6 units
Then:
108 * π [ cubic units ] = (1/3) * π * (6)² * h [square units] [ units of length]
When simplifying we have to take into account that in order to keep last equation h needs to have units of length
Therefore:
108 = (1/3) * 36 * h
h = ( 108* 3 )/ 36
h = 9 units of length
Given:

Solution:
Complex formula:

Let us simplify one by one.


|3 + 4i| = 5


|3 - 4i| = 5


|-3 + 4i| = 5


|-3 - 4i| = 5
Substitute these in the given expression:


The solution of the expression is 20.