Answer:
If your trying to answer for X, here is how you do it.
For the equation '' Y = 10x + 20 '', isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:
X = Y/10 − 2
Or
X = 
− 2
For the other equation " Y = 20x + 10 ", it's the exact same thing. Isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:
X = Y/20 − 1/2
Or
X = 
− 
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
She used 29.8 feet of fencing for the fence -> The circumference of the circular garden is 29.8ft
Formula for circumference : 2πr
So, the radius is equal to : 29.8 : 2 : π = 4.74281730414... (round to 4.7)
Recheck : 4.7 x 2π = 29.5309709437... (close to 29.8)
The formula for finding the area of a square is:
The formula for finding the area of a triangle is:
So for the square the area would be:
The area for the triangle would be:
