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andrey2020 [161]
3 years ago
12

Determine whether each number is rational or irrational. Rational Irrational

Mathematics
2 answers:
kvv77 [185]3 years ago
8 0

Answer:

  • Irrational
  • Rational
  • Rational
  • Rational
  • Irrational
Vlad1618 [11]3 years ago
4 0

Answer:

  1. irrational
  2. rational
  3. irrational
  4. rational
  5. irrational

Step-by-step explanation:

Rational numbers: Include all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

Irrational numbers: Any real number that cannot be expressed as the quotient of two integers.

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(20 points)Solve the equation cos x = sin (x + 22)
Law Incorporation [45]

Answer:

\bold{x = 34^\circ}

Step-by-step explanation:

Given:

cos x = sin (x + 22^\circ)

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

sin(90^\circ-\theta )=cos\theta

OR

cos(90^\circ-\theta )=sin\theta

We can apply above property to solve for x as per given equation.

cos x = sin (x + 22^\circ)

Changing cosx to sine form:

cosx=sin(90^\circ-x)

cosx=sin(90^\circ-x) = sin(x+22^\circ)

\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}

So, solution to the equation cos x = sin (x + 22^\circ) is:

\bold{x = 34^\circ}

7 0
3 years ago
Through (-5.-2) with a slope = 4/5
eduard
It should be -3 I hope this helps
7 0
3 years ago
Four big water bottles can hold 8 gallons of water.how much water can ten big water bottles hold
Ne4ueva [31]

Answer:

20 gallons

Step-by-step explanation:

If 4 big water bottles can hold 8 gallons then just multiply 10x2 because that is double the amount.

6 0
3 years ago
Which ordered pair is a solution to this equation?
atroni [7]
I hope this helps you

4 0
3 years ago
Read 2 more answers
Which equation represents the line passing through the points (3, 2) and (–9, 6)?
prisoha [69]
(3,2),(-9,6)
slope = (6 - 2) / (-9 - 3) = -4/12 = -1/3

y = mx + b
slope(m) = -1/3
use either of ur points...(3,2)....x = 3 and y = 2
now we sub into the formula and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b
so ur equation is : y = -1/3x + 3 <==
4 0
3 years ago
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