Hello!
The equation to find the volume of a sphere you use the equation

r is radius which is half the diameter
put in 3.14 for pi and 12 for r

This gives us the answer of 7234.56 cubic units
Hope this helps!
See the picture to better understand the problem
we know that
A regular dodecagon has 12 sides
Central angle of a regular polygon is an angle whose vertex is the center of the polygon with two consecutive radii
thus
the measure of a central angle is
m∠AOC=360/n
where n is the number of sides
so
m∠AOC=360/12-----> 30°
therefore
the answer Part a) is <span>
the measure of the angle formed by two consecutive radii is 30 degrees
Part b)
we know that
OAC is an isosceles triangle
so
OA=OC
m</span>∠OAC=m∠OCA
<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
180=2*m∠OAC+m∠AOC-----> m∠OAC=[180-30]/2----> 75°
the answer part b) is <span>
the measure of the angle formed by a radius and a side is 75</span>
°
Hello!
I believe the answer is (3x^2 - 3x + 5) • (x + 1)
I hope it helps!
10 because 25 goes into 100 4 times 40 divided by 4=10
The area of the room is :

and if the cost is 1.25 per square foot then the total cost will be:

is $340 dollars