The volume of the sphere is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere radio
Substituting values:
V1 = (4/3) * (3.14) * ((1/2) ^ 3)
V1 = 0.523 units ^ 3
The volume of the cube is given by:
V2 = L ^ 3
Where,
L: length of the sides
Substituting values:
V2 = 1 ^ 3
V2 = 1 units ^ 3
The unoccupied space is:
V2-V1 = 1-0.523
V2-V1 = 0.477 units ^ 3
Answer:
The unoccupied volume remaining inside the cube is:
0.477 units ^ 3
Answer:
A) Sum of angles in the 14-gon = 
B) Sum of angles in the 16-gon = 
Step-by-step explanation:
Convex polygon is one that has the value of its internal angles less than the sum of angles in a triangle. That is each interior angle is less than
.
Sum of angles in a polygon = (n - 2) x 
where n is the value of its number of sides.
So that;
A) 14-gon (which has 14 sides),
Sum of angles in the 14-gon = (14 - 2) x 
= 12 x 
= 
The sum of the measure of the interior angles of the 14-gon is
.
B) 16-gon (which has 16 sides),
Sum of angles in the 16-gon = (16 - 2) x 
= 14 x 
= 
The sum of the measure of the interior angles of the 16-gon is
.
Answer:
102
Step-by-step explanation:
We first want to solve for x:
7x-4=3x+32
4x=36
x=9
Now we have to put 9 into the AB equation to see what half of AC is.
7(9)-4=AB
AB=51
AB is half of AC so AC must be 102