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Rzqust [24]
2 years ago
14

Which of the statements using operations on rational or irrational numbers always results in a rational number?

Mathematics
1 answer:
-BARSIC- [3]2 years ago
8 0
<h3>Hm a irrational number is a number like this:</h3>

1.999999\inf

So adding a rational number, like 2, it would be irrational still:

2+1.999999\inf=3.999999\inf

That being said, answer C is wrong

Now, what is 2/2? Or 4/1? Whole numbers are one of the 3 types of rational numbers.

2\ /\ 2=1\\\\4\ / 1=\ 4

Thus the answer appears to be D

Now lets use the process of elimination to double check the answer:

The wording of your question is what will help us out here:

Which of the statements using operations on rational or irrational numbers <u>always results </u>in a <u>rational number?</u>

Because of that, any of the choices that involve a irrational number can result with another irrational number like so:

a)\ 1.999\inf+ 1.999\inf=3.888\inf\\\\b)\ 2.999\inf / 1.999\inf= 1.50025\inf

And there you go, the only answer that hasn't been proven wrong is answer D.

<h3>Now, if you like this answer and would like to see more please make sure to Like, Comment, and Rate this answer! Also, be sure to send me a friend request, I'm always up for a Challenge!</h3><h2>Thanks!</h2>
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Simplify the expression.<br> c^-6 d^4/c^-16 d^14
pochemuha

Answer:

\red{\frac{ {c}^{10}}{{d}^{10} } }

Step-by-step explanation:

\huge \: \frac{ {c}^{ - 6}  {d}^{4}}{ {c}^{ - 16}  {d}^{14} }  \\  \\  =  \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\  \\  =  \huge \:  \red{\frac{ {c}^{10}}{{d}^{10} } }

6 0
2 years ago
In ΔJKL, j = 74 cm, k = 14 cm and l=80 cm. Find the measure of ∠J to the nearest degree.
natita [175]

Answer:

  ∠J = 60°

Step-by-step explanation:

The Law of Cosines tells you ...

  j² = k² +l² -2kl·cos(J)

Solving for J gives ...

  J = arccos((k² +l² -j²)/(2kl))

  J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)

  J = 60°

_____

<em>Additional comment</em>

It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.

6 0
2 years ago
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Irina18 [472]
Sh(2x) = (e^2x + e^-2x)/2 

<span>Thus the integral becomes </span>

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<span>= e^5x/10 + e^x/2 + C 
</span>=(1/10)(e^5x) + (1/2)(e^x) + C
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2 years ago
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