Answer:
The height of the cone is 
Step-by-step explanation:
we know that
The volume of a cone is equal to

In this problem we have
----> the radius is half the diameter

assume 
substitute the values and solve for h


Answer:
g(x)=2(x-4)(x+3)
Step-by-step explanation:
Given that quadrilateral QRST is a square.
Each angle of a square is of 90 degrees.
Angle <RQT is also an angle of 90 degrees.
We also given angle RQT = 3x - 6.
So, we can setup an equation as 3x-6 =90.
Now, we need to solve the equation for x.
6 is being subtracted from left side.
We always apply reverse operation. Reverse operation of subtraction is addition.
So, adding 6 on both sides of the equation, we get
3x-6+6 =90+6.
3x = 96.
3 is being multipied with x, in order to remove that 3, we need to apply reverse operation of multiplication.
So, dividing both sides by 3.

x=32 (final answer).
Answer:
313 shapes
Step-by-step explanation:
The nth term is 3n+1
so 3x104=312+1= 313 shapes
Answer:

Step-by-step explanation:
Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter
Lets add all the cut of pieces and subtract it from 2 meters

Now we subtract 13/10 from 2 meters

To subtract , make the denominator same

7/10 meter is the remaining piece of ribbon