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Troyanec [42]
3 years ago
14

-27 Irrational or rational

Mathematics
2 answers:
shutvik [7]3 years ago
6 0

Answer:

rational

Step-by-step explanation:

irrational is something like pi or square root of 3, -27 is a simple number.

Dmitriy789 [7]3 years ago
4 0

Answer:

Yes, since it can be written as a fraction

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Divide r+5/r^2+5r-14 by r^2+4r-21/r-2
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</span><span>-------------- /   --------------------
r^2+5r-14               </span><span>r-2

</span>          r+5                     r-2
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    r^2+5r-14           r^2+4r-21

          r+5                     r-2
= --------------  x   --------------------
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          r+5                     
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    (r+7)^2 (r-3)           
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¿Cuál es la factorización en primos de 10? (el formato de la espuesta es 7x7)
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An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and
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Answer:

  84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

  Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

  tan(30°) = OB/OA

  OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

  OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

  BC = OC -OB = 200 m - 115.47 m = 84.53 m

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3 years ago
If five numbers are selected at random from the set {1,2,3,...,20}, what is the probability that their minimum is larger than 5?
Zanzabum

Answer:

the probability that their minimum is larger than 5 is 0.2373

Step-by-step explanation:

For calculate the probability we need to make a división between the total ways to selected the 5 numbers and the ways to select the five numbers in which every number is larger than 5.

So the number of possibilities to select 5 numbers from 20 is:

<u>20                </u> * <u>      20         </u>*  <u>        20     </u> *<u>        20         </u>* <u>       20 </u>

First number  2nd number   3rd number  4th number   5th number

Taking into account that a number can be chosen more than once, and the order in which you select the numbers matters, for every position we have 20 options so, there are  20^{5} ways to select 5 numbers.

Then the number of possibilities in which their minimum number is larger than 5 is calculate as:

<u>15                </u> * <u>      15         </u>*  <u>           15     </u> *<u>        15          </u>* <u>       15 </u>

First number  2nd number   3rd number  4th number   5th number

This time for every option we can choose number from 6 to 20, so we have 15 numbers for every option and the total ways that satisfy the condition are  15^{5}

So the probability P can be calculate as:

P=\frac{15^{5} }{20^{5} } \\P=0.2373

Then the probability that their minimum is larger than 5 is 0.2373

7 0
3 years ago
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