(g-5h)(g-7h). Hope this helps!
Given data:
The diameter of the cut sphere, D=14 in.
The radius of the cut sphere is,

The cut sphere is called a hemisphere.
The surface area of a sphere is

So, the lateral surface area of a hemisphere is half the surface area of sphere. Therefore, the lateral surface area of a hemisphere is,

The hemisphere has a lateral surface and a circular surface. The area of the circular surface is,

Therefore, the total area of the hemisphere is,

The total surface area of a hemisphere is,

Therefore, the total surface area of the cut sphere is 461.8 square inches.
Answer:
0.333
units³
Step-by-step explanation:
Think process:
The equation is given as y = 
Let, y = f (x)
Therefore, 
We know that the limits are y-axis and x= 3
Y-axis: x= 0
then limits are given as x= 0 and x = 3
Integrating gives:
=
+ C
calculating from x= 0 to x = 3, we know volume is given by 
=
[
]
=
[0.000041136 + 1/3]
= 0.333
units³
Given:
The system of equations is


To find:
The true statement about the given system of equations.
Solution:
The slope intercept form of a line is

Where, m is the slope and b is the y-intercept.
We have,


On comparing these two lines with slope intercept form, we get


Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.
Therefore, the correct option is A.
Answer: The answer would be C
Step-by-step explanation:
37 + 5 = 42
Each teacher needs 8 and there are 5 teachers
5 x 8 = 40
So each teacher can have 8 apples and there will be two left over