Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
Answer:
2
Step-by-step explanation:
01=1
and.1+1=2 that is sum of 1 &1
From the problem, we have the following given
u = 5
x = 0
We use the Poisson distribution probability formula:
P = (e^-μ) (μ^x<span>) / x!
Substituting
P = (e^-5) (5^0) / 0!
P = 0.0067
</span>
The probability is 0.0067 or 0.67%<span />
Triangles ABD and BCD are similar, because they are both right and share a common angle, and thus all three angles are equal.
This means that we can set the proportion
Plug the numbers and we have
Solve for 
:
Answer:
44
Step-by-step explanation:
Input 8 into x
f(8)=6(8)-4
f(8)=48-4
f(8)=44
