Step-by-step explanation:
For conical part: h = 14 in & r = 9 in
For hemispherical part: r = 9 in

Another way:

Answer:
Part 1) 
The value of x is 
Part 2) 
Step-by-step explanation:
Part 1) Simplify the given equation
we have

In the left side, remove the parenthesis and apply the distributive property
Remember that

so


Combine like terms left side

Adds 7x both sides

subtract 15 both sides

Divide by 7 both sides

Part 2) Solve for x.

Apply distributive property both sides

Group terms that contain the same variable

Combine like terms

Answer:



Step-by-step explanation:
The given expression that represents the volume of the rectangular prism is:

We can rewrite this to reveal a perfect square pattern.

We factor using perfect squares to obtain:


Volume is three dimensional so we need a third factor different from 1.
We further factor one of the difference of two squares to get:

So pick the following unique dimensions from the possible answers:



I believe it is c but im not positive
Answer:
Step-by-step explanation:
First off you need to identify the relationship between the 2 widths. The answer to that is 3 feet in real life = 15 inches in scale drawing. This means multiply by 5 and convert feet to inches. All you need to do is apply this to the height. We have 5 feet, if we multiply by 5 we get 25. Then remember it needs to be inches, so the answer is 25 inches.