96/6=16
Each side has area 16 sq cm.
Each edge length is sqrt(16)=4 cm
The volume
of a cone with base radius
and height
is

Similarly, the volume
of a sphere with radius
is

We know that
and that 
So, we can set up the following equation:

We can simplify the common denominator 3, and pi appearing on both sides:

We can divide both sides by 4:

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
Part A
The expression "ma" is the same as "m*a" (m times a). To isolate 'a', we divide both sides by m. Division is the inverse operation of multiplication. Think of it as undoing multiplication
F = ma
F = m*a
F/m = m*a/m
F/m = a
a = F/m
Answer: a = F/m
Note: the slash "/" without quotes means "divide"
===========================================
Part B
Use the result from part A. We will plug F = -24 and m = 10 into that equation
a = F/m
a = -24/10
a = -2.4
Answer: -2.4
===========================================
Part C
We will use the equation F = m*a
F = m*a
24 = m*12 ... plug in F = 24 and a = 12
24/12 = m*12/12
2 = m
m = 2
Answer: 2
Answer:
144
Step-by-step explanation:
Adult tickets comprised 1/3 of the total, so 432/3 = 144 tickets.
Answer:
5/√3 inches long.
Step-by-step explanation:
The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3. Thus if you know that the side opposite the 60 degree angle measures 5 inches then then this is √3 times as long as the side opposite the 30 degree so the side opposite the 30 degree angle is 5/√3 inches long.