L(which is length) is equal to 42 divided by width which is 6. so the equation is L=42/6
Answer: the BEST approximation of the amount of water her fish tank can hold is 21ft^3
Step-by-step explanation:
The shape of Samantha's fish tank is rectangular. The volume of the rectangular fish tank would be expressed as LWH
Where
L represents length of the tank
W represents the width of the tank.
H represents the height of the tank.
The tank has a height of 2.6 ft, a width of 2.1 ft, and a length of 3.9 ft.
This means that the volume of the fish tank would be
Volume = 2.6 × 2.1 × 3.9
= 21.294 ft^3
Answer: ∆V for r = 10.1 to 10ft
∆V = 40πft^3 = 125.7ft^3
Approximate the change in the volume of a sphere When r changes from 10 ft to 10.1 ft, ΔV=_________
[v(r)=4/3Ï€r^3].
Step-by-step explanation:
Volume of a sphere is given by;
V = 4/3πr^3
Where r is the radius.
Change in Volume with respect to change in radius of a sphere is given by;
dV/dr = 4πr^2
V'(r) = 4πr^2
V'(10) = 400π
V'(10.1) - V'(10) ~= 0.1(400π) = 40π
Therefore change in Volume from r = 10 to 10.1 is
= 40πft^3
Of by direct substitution
∆V = 4/3π(R^3 - r^3)
Where R = 10.1ft and r = 10ft
∆V = 4/3π(10.1^3 - 10^3)
∆V = 40.4π ~= 40πft^3
And for R = 30ft to r = 10.1ft
∆V = 4/3π(30^3 - 10.1^3)
∆V = 34626.3πft^3
If it is marked down 25% and 25% equals 25/100 then you simply take 39.59 x 25/100
39.59 x 25/100 = 9.90
and then you subtract that from the original price
39.59 - 9.90 = $29.69
after it is marked down, the price is $29.69