:
5
:
3x+2=17
-2 -2
3x=15
/3 /3
x=5
Answer:
the answer is given in the photo below
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer:
A) s/3 +t
Step-by-step explanation:
To represent 1/3 of a number, we can simply divide this number by 3, meaning if s is the number, 1/3 of s would be s/3. Now to add t all we have to do is + t, making our answer s/3 + t
Ok so to answer this, we first need to figure out the area of both circles
we will use the formula A=πr²
so our two areas end up being 121π and 81π
now all we do is subtract the smaller from the larger
121π - 81π = 40π
shaded region = 40π
