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Snowcat [4.5K]
3 years ago
13

Write the numbers in the correct order from least to greatest -4, 2 1/5, -2 3/4, 1/10

Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0
-4, -2 3/4, 1/10, 2 1/5
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The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nea
anyanavicka [17]
Hello !
If you mist find the area of the rhombus,you need to calculate the length of the diagonals. 

We have the rhombus ABCD.The diagonals are are AC and BD .
<span>Here's a formula to find out the distance between two points in the Cartesian system : (let's take randomly 2 point and their coordinates)
</span>
<span> M (m₁,m₂) ; N (n₁,n₂) ⇒  MN = \sqrt{ (m_{1} - n_{1})^{2} + (m_{2} - n_{2})^{2} }
</span>

Now it's simple to calculate the diagonals :

AC =  \sqrt{ (-4-6)^{2} +(-2-8)^{2}} \\ \\ AC= \sqrt{ (-10)^{2} + (-10)^{2} } \\\\AC = \sqrt{ 100+100} \\\\ AC =\sqrt{ 200 } \\\\AC=10 \sqrt{2}  \\  \\  \\ BD = \sqrt{ (-2-4)^{2} + 6^{2} } \\\\BD=\sqrt{ (-6)^{2} + 6^{2} }\\\\BD= \sqrt{6^{2}+6^{2}} \\\\BD= \sqrt{36+36} \\\\BD= \sqrt{72} \\\\BD=6 \sqrt{2}



The area is : \frac{AC*BD}{2} = \frac{ 10\sqrt{2} * 6\sqrt{2} }{2} = \frac{60*2}{2} =60


Answer: 60 u²



The representation is below.
Have a nice day :)

3 0
3 years ago
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At the museum, the O'Rourke family bought 3 adult tickets and 2 children tickets for $23.50. The Patel family bought 2 adult tic
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3 years ago
The sequence -11, -5, 1...... is an arithmetic
Mkey [24]

Answer:

25, 31, 37

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10

-11 -5 1 7 13 19 25 31 37 43

6 6 6 6 6 6 6 6 6

25 + 31 + 37 = 93

7 0
3 years ago
When 31 times a number is increased by 40, the answer is the same as when 200 is decreased by the number
mojhsa [17]

31x+40=200-x\\32x=160\\x=160/32\\x=5

The number is 5.

3 0
3 years ago
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True or false? The illustration below is an example of a regular tessellation.​
ki77a [65]

Answer: Is True

Step-by-step explanation:

these question is true

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