Answer:
x=(10+m)/3
Step-by-step explanation:
3x-m=10
3x=10+m
x=(10+m)/3
The volume of a sphere can be calculated as

Where r is the radius of the sphere
We want to calculate half of the volume, then we must divide that volume by 2

Now we must find the radius of our sphere, the segment AB is the diameter of the sphere, and the radius is half od the diameter, then

Let's put it into our equation

The problem says to use

Then

Final answer:
The formula that can be used to calculate the volume of water inside the fish bowl is
Answer:
5
Step-by-step explanation:
a²+b²=c²
In this case c is 13 and b is 12
a²+12²=13³
a²+144=169
Subtract 169 and 144 to find a
169-144=25
The square root of 25 is 5
Answer:
(a)Therefore the value of x=
(b) Therefore the value of x 
Step-by-step explanation:
Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.
(a)
Given function is,

Differential with respect to x

For horizontal tangent line, f'(x)=0
3+ 3 cos x= 0
⇒3 cos x=-3
⇒cos x=-1
⇒x = 180° 
Therefore the value of x=
(b)
Given that, the slope is 3.
Then,f'(x)=3
3+ 3 cos x= 3
⇒3 cos x= 3-3
⇒cos x=0
⇒x = 90° 
Therefore the value of x 