Answer:
Rate of change of the diameter is equal to 0.053cm/min
Step-by-step explanation:
A snowball is of the shape of a sphere
Surface area of Sphere (S)= 
Rate of change of surface area
dS/dt = -4
the negative sign indicates the surface area is decreasing.
Radius = d/2 where d represents diameter
using this is the surface area equation
S = 
= 
dS/dt = 2*pi*d*d(d)/dt
4 = 2*pi*d*(d)/dt
d(d)/dt = 2/12*pi= 
cm/min
so the rate of change of the diameter is equal to 0.053cm/min
Answer:
Nathan: 2x+30
Olivia: 4x+15
Step-by-step explanation:
x is the number of weeks
Nathans account is as follows
2x+30
(2 dollars a week plus the 30 dollars already there)
Olivia's account is as follows
4x+15
(4 dollars per week plus the 15 already in there)
Answer:
cost = 32
Step-by-step explanation:
price = not sure
Answer:
x ≈ 7.2
Step-by-step explanation:
Given a tangent- secant from an external point to the circle, then
the the square of the measure of the tangent is equal to the product of the external part of the secant and the entire secant, that is
x² = 4(4 + 9) = 4 × 13 = 52 ( take the square root of both sides )
x = 
≈ 7.2 ( to the nearest tenth )
