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IgorLugansk [536]
3 years ago
9

See the attachment, I don't know how to get the answer

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

2x^{2} -5x-18 = 0

x = 4.5 cm.

Step-by-step explanation:

There are two rectangles in the compound shape ABCDEF.

The area of the small rectangle is x (x - 4) sq. cm.

Again the area of the large rectangle is (x - 2) (2x + x) = 3x (x - 2) sq. cm.

Therefore, the total are is x (x - 4) + 3x (x - 2) = 36 {Given}

⇒ x^{2} -4x+3x^{2} -6x =36

⇒ 4x^{2} -10x -36 =0

⇒ 2x^{2} -5x-18 = 0 (Shown)

Now, solving this equation we get

2x^{2} -9x+4x-18 = 0

⇒ (2x-9) (x+2) =0

⇒ x = 4.5 and x = -2

Since x i.e. length of a side can not be negative. So, x = 4.5 cm. (Answer)

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Answer:

Step-by-step explanation:

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                  √1                                      

√(1/49) = ------- = 1/7

                √49

                       √4

√(4/100) = --------------- = ±2/10 =                                                                                                                                                                                                                                                                                                                                                                              

                     √100

7 0
3 years ago
Which of the below descriptions shows a possible HAMILTON PATH?
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Answer:

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Step-by-step explanation:

A <em>Hamilton path</em> is one that visits each node exactly once. In a graph with 6 nodes, the path length must be exactly 6.

Only one answer choice is of length 6: ADEFBC. However, it includes travel from F to B, which path does not exist in the graph shown. Hence the only viable choice is not an answer.

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3 0
3 years ago
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Answer:

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Step-by-step explanation:

Here we will show you how to calculate 8 divided by 1/6. We will give you the answer in fraction form and in decimal form.

Here is 8 divided by 1/6 displayed mathematically in colors:

8

 ÷    

1

6

The numbers in 8 divided by 1/6 are labeled below:

8 = whole number

1 = numerator

6 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

8 x 6

1

 =  

48

1

Thus, the answer to 8 divided by 1/6 in fraction form is:

48

1

To make the answer to 8 divided by 1/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

48 / 1 = 48

The answer is rounded to the nearest two decimal points if necessary.

48/1 is an improper fraction and should be written as 48.

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Answer:

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4 0
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Answer:

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157.50

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3 years ago
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