Answer:
dV/dt = 155.74 ft^3/minute
Step-by-step explanation:
Volume V = Area × thickness
Area A= πr ^2
Thickness = 0.2 ft
Volume V = 0.2A = 0.2πr^2
V = 0.2πr^2
Differentiating both sides;
dV/dt = 0.2π × 2r dr/dt = 0.4πr.dr/dt
Given;
r = 400 ft
dr/dt = 0.31 ft/minute
π = 3.14
Substituting the values
dV/dt = 0.4πr.dr/dt = 0.4 × 3.14 × 400 × 0.31
dV/dt = 155.74 ft^3/minute
Answer:
8n - 15
Step-by-step explanation:
for finding the nth term we need to figure out the difference between the numbers:
3,11,19 = difference of 8
multiples of 8:
8,16,24,32,40...
the nth term would be 8n - 5 because in order to get to 3 from 8, we minus 5
Answer:
x=15
Step-by-step explanation:
Hey There!
So what we want to do is inverse operations from the formula of area of a triangle
The area is equivalent to

h=height
b=base
now we setup an equation with what we are given
we are given A (area) and h(height)
so the equation looks like...

now we solve for b (x)
step 1 multiply each side by 2
75x2=150
/2x2 cancels out
now we have
150=10b
step 2 divide each side by 10
150/10=15
10/10 cancels out
b=15
We can conclude that the base (aka x) is equal to 15
Answer:
Decagon has ten sides and angles.