The cone in Fig. 15.29 is exactly half full of water by volume. How deep is the water in the cone?

The water is 8 cm deep.

Step-by-step explanation:

In order to solve this problem we first need to find the total volume of the cone, this is done by using the following formula:

The total volume of the cone is 192*pi cm³, if it is half full then the volume of the water is half of that, which would be 96*pi cm³, we can apply this value to the same formula in order to find the height of the water:

The water is 8 cm deep.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

x+14

step-by-step explanation: