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slega [8]
3 years ago
7

An open box is to be made from a flat piece of material 14 inches long and 6 inches wide by cutting equal squares of length xfro

m the corners and folding up the sides. Write the volume Vof the box as a function of x. Leave it as a product of factors, do not multiply out the factors.
Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

f(x)=x(14-2x)(6-2x)

Step-by-step explanation:

We are given that

Length of flat piece of material=14 in

Width of flat piece of material=6 in

We have to find the volume of box as a  function of x.

An open box is made from flat piece of material by cutting equal squares of length x from the corner and folding up the sides.

Therefore, Height of box=x in

Length of box=14-2x in

Width of box=6-2x in

We know that volume of box=length\times breadth\times height

Using the formula

Volume of box=f(x)=x(14-2x)(6-2x)

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Answer:

The length of each of the other two sides would be  3.1 cm

Step-by-step explanation:

<u><em>The options of the question are</em></u>

A. 3.1 cm

B. 3.2 cm

C. 4.2 cm

D. 6.1 cm

we know that

An isosceles triangle has two equal sides and two equal interior angles

Let

x -----> the length of each of the two equal sides in the isosceles triangle

The perimeter of one isosceles triangle is equal to

P=2x+2

Remember that

To maximize the use of the wire, the perimeter of 6 earrings (3 pairs of earrings) must be equal to 50 cm

so

6(2x+2)=50

Solve for x

12x+12=50

12x=50-12

12x=38

x=\frac{38}{12}=3.16\ cm

therefore

The length of each of the other two sides would be  3.1 cm

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3 years ago
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expeople1 [14]

Answer:

Y=(\frac{4}{7}) x+2

Step-by-step explanation:

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Two bags contain coloured cubes.
spayn [35]

Answer:

equal

Step-by-step explanation:

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P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20

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P (green  bag 2) = green /total = 3/5

P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20

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Does that say 4 x 8x + 1 = 2(squared)x?
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Answer:

j = 2z + 1

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