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grigory [225]
3 years ago
9

Rotate the given triangle 90°

Mathematics
2 answers:
Ad libitum [116K]3 years ago
6 0

Answer:

Step-by-step explanation:

kati45 [8]3 years ago
4 0

9514 1404 393

Answer:

  \left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]

Step-by-step explanation:

The rotation matrix for 90° CCW is ...

  \left[\begin{array}{cc}0&-1\\1&0\end{array}\right]

Then the rotated coordinates are ...

  \left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\cdot\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]

_____

The transformation of each ordered pair is ...

  (x, y) ⇒ (-y, x)

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Solve x^2+20x+100=50
uysha [10]
1. You con solve the quadratic equation x^2+20x+100=50<span> by following the proccedure below:
 
 2. Pass the number 50 from the right member to the left member. Then you obtain:
 
 x^2+20x+100-50=0
</span><span> x^2+20x+50=0
</span><span> 
 3. Then, you must apply the quadratic equation, which is:
 
 x=(-b±√(b^2-4ac))/2a
 
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</span><span> 
 a=1
 b=20
 c=50
 

  4. Therefore, when you substitute the values into the quadratic equation and simplify ir, you obtain that the result is:
 
  -10</span>±5√2   (It is the last option).
6 0
3 years ago
The area of trapezium is 1586cm² and the distance between sides is 26cm.If one of the parallel sides is 84cm,find the other​
irinina [24]

Check the picture below.

we know the area is 1586, so

\stackrel{\textit{area of a trapezoid}}{A=\cfrac{h(a+b)}{2}}\implies 1586=\cfrac{26(84+b)}{2}\implies 1586=13(84+b) \\\\\\ \cfrac{1586}{13}=84+b\implies 122=84+b\implies 38=b

3 0
2 years ago
Students went on a picnic. They recorded a list of the number of animals
lorasvet [3.4K]

Observation that we can make is min = 10, max = 19, range = 9, Maximum frequency of a number is 12, Average = 12.9, median = 12, mode = 12 it is slightly skewed on the right.

Step-by-step explanation:

  • It is imperative to create a data in a tabular column before analyzing.
  • Once the data is created use tally marks or frequency distribution.
  • Frequency distribution helps the data to provide occurrence of event.
  • Very important to number which is a counting numbers are discrete.
  • Continuous of data are ones which are in decimal.
  • Descriptive statistics is the 1st level of Statistics.
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  • Range is at what level data is expanded.
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5 0
3 years ago
This describes the relationship between one set of data that increases as another set of data increases. This is synonymous with
viktelen [127]

Answer:

Positive correlation              

Step-by-step explanation:

Correlation:

  • Correlation is a technique that help us to find or define a linear relationship between two variables.
  • It is a measure of linear relationship between two quantities.
  • A positive correlation means that an increase in one quantity leads to an increase in another quantity
  • A negative correlation means with increase in one quantity the other quantity decreases.
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Thus, the correct answer is

Positive correlation  

4 0
3 years ago
Read 2 more answers
What is the square root of 124
marysya [2.9K]

Answer:

  √124 simplifies to 2√31 ≈ 11.135529

Step-by-step explanation:

√124 = √(4·31) = (√4)(√31) = 2√31

A calculator can tell you the numerical value. It is an irrational number near ...

  11.135528725660043844...

5 0
3 years ago
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