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3 years ago

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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Find the measure for

VMariaS [17]

For what are you trying to figure out?

7 0

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 : $256=(w+4)(w-8)(4)$

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

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

=> $256=256$

5 0

3 years ago

Do you have a cat and if so how old is he or she

stepladder [879]

To be honest in my opinion, without offending anyone or being condescending, and without triggering anyone, I just want to say I got nothing to say but I have none

4 0

2 years ago

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

77julia77 [94]

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

7 0

4 years ago

Find the slope of each line

Likurg_2 [28]

Answer:

The slope would be -1 :)

Step-by-step explanation:

4 0

3 years ago

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