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ArbitrLikvidat [17]
3 years ago
8

Draw two different shapes with a perimeter of 16 units. What is the area of each shape?

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
8 0

<u>Shape #1:  A square.</u> 
Every side is  4  units long. 
The perimeter is  16  units.
The area is  <em>16  </em>square units.

<u>Shape #2:  A rectangle.</u>
The length is  7.9  units.
The width is  0.1  unit.
The perimeter is  16  units.
The area is  <em>0.79</em>  of a square unit.

<u>Shape #3:  A circle.</u>
The diameter is  (16/π)  units.  (about  5.093  units)
The perimeter (circumference) is 16 units.
The area is  (64/π)  square units.          (about  <em>20.37</em>  square units)


frosja888 [35]3 years ago
5 0
So, you will obviously have to do the drawing bit, but I can help with the rest. I would first recommend drawing a square with a side length of 4, which will give you a perimeter of 16. The formula for area in a square is s², where s is the side length. That means the area for the square is 4², or 16 units², just like the perimeter.

You can draw any shape you like for the second one, but I would suggest a rectangle with a length of 6 and a width of 2. Perimeter for a rectangle is P = 2L + 2w , and 2(6) +2(2) = 16. The area would then be the length times the width, or 2(6), which equals 12 units² for the second figure.
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<h2>Answer:</h2>

a)

The probability that both televisions work is:  0.42

b)

The probability at least one of the two televisions does not​ work is:

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<h2>Step-by-step explanation:</h2>

There are a total of 9 televisions.

It is given that:

Three of the televisions are defective.

This means that the number of televisions which are non-defective are:

          9-3=6

a)

The probability that both televisions work is calculated by:

=\dfrac{6_C_2}{9_C_2}

( Since 6 televisions are in working conditions and out of these 6 2 are to be selected.

and the total outcome is the selection of 2 televisions from a total of 9 televisions)

Hence, we get:

=\dfrac{\dfrac{6!}{2!\times (6-2)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{\dfrac{6!}{2!\times 4!}}{\dfrac{9!}{2!\times 7!}}\\\\\\=\dfrac{5}{12}\\\\\\=0.42

b)

The probability at least one of the two televisions does not​ work:

Is equal to the probability that one does not work+probability both do not work.

Probability one does not work is calculated by:

=\dfrac{3_C_1\times 6_C_1}{9_C_2}\\\\\\=\dfrac{\dfrac{3!}{1!\times (3-1)!}\times \dfrac{6!}{1!\times (6-1)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{3\times 6}{36}\\\\\\=\dfrac{1}{2}\\\\\\=0.5

and the probability both do not work is:

=\dfrac{3_C_2}{9_C_2}\\\\\\=\dfrac{1}{12}\\\\\\=0.0833

Hence, Probability that atleast does not work is:

             0.5+0.0833=0.5833

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