Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft
You have to plug in the values into the equation.
Since a=6, all the a's in the equation would be replaced by 6 and same goes for the b.
^ means exponent btw
= -[2(6)^2 -6- (5(6)^2-3(3)) -4(6)^2 +2(3)]
Calculate/ simplify
= -[2(36)-6 - (5(36) -9)-4(36)+6]
Multiply all the things in parenthesis
= -[72-6-(171)-144+6]
Add/subtract
= -[-243]
Negative times negative becomes positive therefore, the answer becomes 243
Answer:
0.206897
Step-by-step explanation:
it is 0.206897 because you have take the whole make uneven fraction an add it to 60 in 60/72 to get 348 divided equals 0.206897
<u>Answer:</u>
<h2>A = 15 u²</h2>
<u>Explanation:</u>
according to the coordinates the triangles is right at the pair (2, -3)
the area of the triangle = height × base × 1/2
the <u>height</u> is the line passing through the pairs (-1, 6) and (2, -3)
h² = (2-(-1))²+(-3-6)²
h² = 3² + (-9)²
h² = 9 + 81
h² = 90
h = √90
the <u>base</u> is the line passing through the pairs (5, -2) and (2, -3)
b² = (2-5)²+(-3-(-2))²
b² = 3² + (-3+2)²
b² = 9 + 1
b² = 10
b = √10
A = h×b×1/2
A = √90×√10×1/2
A = √900×1/2
A = 30×1/2
A = 15 u²
Answer:
ST, WX
Step-by-step explanation:
