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garik1379 [7]
3 years ago
14

A rectangle has a base of x squared y

Mathematics
1 answer:
jekas [21]3 years ago
8 0

Answer:

i don’t know

Step-by-step explanation:

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an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area
Anit [1.1K]
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

5 0
3 years ago
Pi is an irrational number. could pi = 22/7? why or why not?
Marina CMI [18]
No, it can't.

Irrational numbers are numbers that cannot be expressed as fractions.

So therefore, Pi cannot equal 22/7.
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Which of the following inequalities matches the graph? PLZ HELP DUE TODAY
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Answer:

A. 2x + y < 7

Step-by-step explanation:

the slope is negative and the y-intercept is positive

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mel-nik [20]

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y=2/3x-8

Step-by-step explanation:

2x-3y=24

3y=2x-24

y=2/3x-24/3

y=2/3x-8

y=mx+b where m=slope and b=y-intercept.

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2 years ago
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