Let x =lenght, y = width, and z =height
<span>The volume of the box is equal to V = xyz </span>
<span>Subject to the surface area </span>
<span>S = 2xy + 2xz + 2yz = 64 </span>
<span>= 2(xy + xz + yz) </span>
<span>= 2[xy + x(64/xy) + y(64/xy)] </span>
<span>S(x,y)= 2(xy + 64/y + 64/x) </span>
<span>Then </span>
<span>Mx(x, y) = y = 64/x^2 </span>
<span>My(x, y) = x = 64/y^2 </span>
<span>y^2 = 64/x </span>
<span>(64/x^2)^2 = 64 </span>
<span>4096/x^4 = 64/x </span>
<span>x^3 = 4096/64 </span>
<span>x^3 = 64 </span>
<span>x = 4 </span>
<span>y = 64/x^2 </span>
<span>y = 4 </span>
<span>z= 64/yx </span>
<span>z= 64/16 </span>
<span>z = 4 </span>
<span>Therefor the dimensions are cube 4.</span>
Answer:
a: 4
b: package and shopping costs
c: 1/2 ( (6-3)/(16-10) )
d: cost of shipping per pound
e: y= 1/2x + 4
f: 92
Step-by-step explanation:
Okay bunch of answers
Answer:
6/5m
or
1 1/5m
Step-by-step explanation:
5 - 3 4/5 = x
5/1 - 19/5 = x
5/1(5/5) - 19/5 = x
25/5 - 19/5 = x
25/5 - 19/5 = 6/5
x = 6/5 or 1 1/5
Answer:
The formula of a Pythagorean Theorem is a^2 + b^2 = c^2
The length of c is 5 inches.
Step-by-step explanation:
a^2+b^2=c^2
3^2+4^2=c^2
25=c^2
Square root of 25= square root of c^2
5=c
Note that "^" means the number to the specified number.
Ex: 2^3
2 to the third power
or
2 cubed
Hope this helps!!!
Please consider this as brainliest thanks!!!
