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3 years ago

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.

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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°.

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2 years ago

____2. Find the value of x A 16 C 50 B 34 D 70

olga2289 [7]

50.........................

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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]

Answer:

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

Step-by-step explanation:

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

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3 years ago

What 0.5628 rounded to nearest hundred

konstantin123 [22]

Answer:

0.56

Step-by-step explanation:

5 0

2 years ago