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SVEN [57.7K]
4 years ago
11

The diagram shows the amount of fabric that Christine needs to make 1 tablecloth, including the fabric that will hang over the s

ides. The fabric costs $1.50 per square foot. Christine plans to make 1 tablecloth for each of the 4 seasons of the year. What is the total cost of the fabric that Christine needs for the tablecloths?
Mathematics
1 answer:
Svetach [21]4 years ago
4 0

what diagram?? I would multiply 1.50 by 4 then multiply 6.00 by the total surface area to get the total cost.

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box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the am
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Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

6 0
3 years ago
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Answer:

2

Step-by-step explanation:

{16}^{ \frac{1}{4} }  \: can \: also \: be \: written \: as \: (  {{2}^{4})}^{ \frac{1}{4} }

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So,

{( {2}^{4} )}^{ \frac{1}{4} }  =  {(2)}^{4 \times  \frac{1}{4} }  = 2

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Is it possible to express every decimal as a fraction (without rounding)?
rusak2 [61]

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ioda

Answer:

180

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6 0
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