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
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
c=1/4
Decimal Form:
c=0.25
It's not clear what you're looking for.
If you want to find an angle whose terminal point involves a positive angle, then -120 degrees is equivalent to +240 degrees.
If you want the equivalent angle in radians, then:
-120 deg -π rad
-------------- = --------------- = - 2π/3 rad, or + 4π/3 rad.
1 180 deg
Answer:
the two integers are -2, and -1
Step-by-step explanation:
first you can create an equation, with x being your small number and x+1 being your larger number because they are consecutive, then you can solve, 6(2x+1)+13=5(x+1)
12x+6+13=5x+5
12x+19=5x+5
12x-5x=5-19
7x=-14
x=-2
Answer:
l think it is 117days
Step-by-step explanation:
80%of365
80/100 of 365=116.8
l rounded the answer n got 117days
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