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Sever21 [200]
3 years ago
10

The perimeter of the outer square in thiæ pattern is 8

Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

Answer:

The answer is Yes .. Ron is correct

Step-by-step explanation:

This is because each side of the outer square is 2 units summing up to 8 units. So dividing each into two equal parts give 1 unit each.

Each side of the inner square divides the outer square into two making each side 1 unit.

The inner square thus takes 1 unit for it's side summing the perimeter to 4 units.

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3 years ago
A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is
MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = w+12 inches

As given, 4 inch squares are cut from each corner;

So, the width is = w-8 inches

Length is = w+12-8=w+4 inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, 256=(w+4)(w-8)(4)

=> 256=(w^{2}-4w-32)4

=> 64=(w^{2}-4w-32)

=> w^{2} -4w=96

or w^{2} -4w-96=0

=> w^{2} -12w+8w-96=0

=> w(w-12)+8(w-12)=0

We get , (w+8)=0 ; w = -8(neglect the negative value)

(w-12)=0 ; w = 12 inches

And length = 12+12=24 inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : 256=(w+4)(w-8)(4)

256=(12+4)(12-8)(4)

=> 256=(16)(4)(4)

=> 256=256

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3 years ago
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2 years ago
Assume that y varies inversely<br> with x. If y = -6 when x = -2, find<br> y when x = 5.
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Answer:

y = 2.4

Step-by-step explanation:

If y varies inversely as x, it means there's an inverse relationship between y and x, that is if x is increasing, y is decreasing and vice versa. In such instance, we have to find the constant of proportionality "k"

Hence,

y~1/x

y=k/x

When y =-6 and x =-2, we insert these values to find the value of the constant "k"

-6 = k/-2

k = 12.

Using this value of k to determine value of y when x =5 becomes:

y = 12/5

y = 2.4

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Find the slope of each line
Likurg_2 [28]

Answer:

The slope would be -1 :)

Step-by-step explanation:

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3 years ago
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