The correct answer is <span> 565 cm^3.
Hope this helps.</span>
Answer: 135cm
Step-by-step explanation
Volume of a cylinder = πr²h
Volume of a cone. = 1/3πr²h
The two shapes are both solid shapes.
Since the have same volume, we can then equate the two together and solve for the height of the cone.
Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.
Now equating the two
πR²H = 1/3πr²h
Now substitute for the values now
Multiply through by 3
3πR²H = πr²h
But π is common so it could be obliterated from the equation
3R²H = r²h
3 x 12² x 20 = 8² x h
3 x 144 x 20 = 64 x h
60 x 144 = 64h
8640. = 64h
Therefore
h = 8640/64
= 135cm
Answer:
A) 
Step-by-step explanation:
Given:
A graph of a function.
When we analyze the given graph, it is of a <em>parabola</em>.
To find:
The interval of values of
where the function is increasing.
Solution:
First of all, let us learn about the meaning of increasing and decreasing functions.
1. A function
is known as increasing in an interval
when
Value of y keeps on increasing when we move from the value of x from a to b.
2. A function
is known as decreasing in an interval
when
Value of y keeps on decreasing when we move from the value of x from a to b.
On analyzing the given graph , we can see that the graph is decreasing on the interval:
and is increasing on the interval: 
When we choose from the options,
The correct answer is option A) 
Answer:
q= -4
Step-by-step explanation:

Collect like terms and simplify

Divide both sides of the equation by 2

Simplify

Answer: 40
Step-by-step explanation:
Assume Julio's number is x.
The expression would be:
-7 * (x - 15) = -175
x - 15 = -175/-7
x = -175/-7 + 15
x = 40