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Juliette [100K]
2 years ago
13

(25 points) Which list contains only rational numbers?

Mathematics
1 answer:
Shkiper50 [21]2 years ago
8 0
A rational number is any number that can be wrote as a fraction (p/q). A rational number is the quotient or fraction of two integers. It is seen as a ratio of two integers as well. Repeating/terminating decimals are also rational numbers as they can be shown as the ratio of two integers. (p/q) the fraction, will have both the numerator and denominator being whole numbers.

what we can do: Look at each number in the sequences and see which will have only rational numbers. A: 0 is rational, 1/2 is rational because it is a ratio of two integers, 1.5 is rational because it can be written as 3/2, and 2.82843 is rational because it can be wrote over one as a ratio of two integers.

So A is the only list that contains only rational numbers.
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For the graph shown to the right, find (a) AB to the nearest tenth and (b) the coordinates of the midpoint of AB.
Shkiper50 [21]
AB =

\sqrt{( {4 -  (- 2))}^{2}  +  {( - 5 + 3)}^{2} }  =  \sqrt{40}  = 6.3
The midpoint os segment AB =

(( \frac{ - 2 + 4}{2} ) = the \: x \: coordinate \: of \: the \: midpoint \\  \\ ( \frac{ - 3 - 5}{2})) = the \: y \: coordinate \: of \: the \: midpoint
The midpoint is:

(1,-4)
8 0
3 years ago
-5-(-2) please help<br>A -30 <br>B30 <br>C-1<br>D1​
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

-3

7 0
3 years ago
Read 2 more answers
Subtracting decimals
Fynjy0 [20]

Answer:

I am really good at doing stuff like that

5 0
3 years ago
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Pls help! evaluate the sine of the real number, pls give exact answers
solong [7]

Answer:

 -\frac{\sqrt2}{2} \\  or exact is −0.70710678...

Step-by-step explanation:

Getting the point!

  1. If we look at the unit circle and we find -\frac{3\pi }{4} we see it is in the 3rd quadrant.
  2. We know that all points in the 3rd quadrant have both negative x and negative y values.
  3. We know that all radians with the base of 4 on the unit circle have the points of (\frac{\sqrt{2}}{2} ,\frac{\sqrt{2}}{2})
  4. Because we are in the 3rd quadrant and both x and y are negative we know the point of -\frac{3\pi }{4}  is (-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2})

Finding the sin!

  1. Because we know that sin is asking us for the y value
  2. We can just look at the point and find the y value!
  3. the y value is -\frac{\sqrt2}{2} \\
  4. Because this fraction does not need to be rationalized we are good!
  5. Use a calculator to find the exact value and you get -0.70710678...
  6. The final answer is  -\frac{\sqrt2}{2} \\ or exact is −0.70710678...

Hope this helps!! Please mark Brainliest!

4 0
2 years ago
(a) A company has 39 salespeople. A board member at the company asks for a list of the top 5
Vladimir79 [104]

Answer:

69090840 possible rankings

Step-by-step explanation:

The number of possible ranking ordered in terms of effectiveness can be obtained using permutation

Number of salesperson = 39

Number of rank = 5

nPr = n! ÷ (n - r)!

nPr = 39P5

39P5 = 39! ÷ (39 - 5)!

39P5 = 39! ÷ 34!

39P5 = 39 * 38 * 37 * 36 * 35 = 69090840

5 0
3 years ago
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