1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solong [7]
3 years ago
9

The sum of rational number and an irrational number

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0

Answer:

The sum of a rational number and an irrational number is irrational." By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.

Step-by-step explanation:

However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational." Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

You might be interested in
A company plans to build a wheelchair ramp with the following
Liono4ka [1.6K]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The height that would be allowed with a ramp 43.5 feet long is ...

  h = (43.5 ft)·sin(4.8°) ≈ 3.64 ft

The proposed height is less than 3.64 ft, so the ramp angle is less than 4.8°.

__

The ramp angle is actually arcsin(3/43.5) ≈ 3.95°, which is less than 4.8°.

7 0
2 years ago
____2. Find the value of x<br><br> A 16 C 50<br> B 34 D 70
olga2289 [7]
50.........................
6 0
3 years ago
A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.29. They have also deter
GuDViN [60]

<u>Answer:</u>

The correct answer option is P (S∩LC) = 0.16.

<u>Step-by-step explanation:</u>

It is known that the probability if someone is a smoker is P(S)=0.29 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.552.

So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.552 = P(S∩LC) / 0.29

P (S∩LC) = 0.552 × 0.29 = 0.16

5 0
3 years ago
How do you do this question?
mihalych1998 [28]

Answer:

C) π/6

Step-by-step explanation:

The area under the curve from x=-π/2 to x=k is 3 times the area under the curve from x=k to x=π/2.

\int\limits^k_{-\frac{\pi }{2}} {cos\ x} \, dx = 3\int\limits^{\frac{\pi }{2}}_k {cos\ x} \, dx\\sin\ x\ |^{k}_{-\frac{\pi }{2}} = 3\ sin\ x\ |^{\frac{\pi }{2}}_k\\(sin\ k - (-1)) = 3\ (1 - sin\ k)\\sin\ k + 1 = 3 - 3\ sin\ k\\4\ sin\ k = 2\\sin\ k = \frac{1}{2}\\k = \frac{\pi}{6}

Graph: desmos.com/calculator/mezlen9hb4

3 0
3 years ago
What 0.5628 rounded to nearest hundred​
konstantin123 [22]

Answer:

0.56

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • The median and the mean are both the middle data point.<br> .<br> O True<br> O False
    7·2 answers
  • One number is seven more than another. If their sum is -3 find the numbers
    14·1 answer
  • A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability
    7·2 answers
  • At a coffee shop, 70% of the customers buy a coffee drink, 30% buy food, and 20% buy both a coffee drink and food. Are buying fo
    15·2 answers
  • Pleaseee help meeeeeeee
    6·2 answers
  • Paulo tracks his commute time. The coordinate plane below shows some of his commute times in the last two weeks. The xxx-axis of
    8·1 answer
  • Set up an appropriate equation and solve. Data are accurate to two significant digits.
    7·1 answer
  • Help me please in this problem
    13·1 answer
  • The distance from Jason's house to school is 0.7 kilometer. What is this distance in meters?
    11·2 answers
  • In young children, some brain cells have a ------- that
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!