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3 years ago

Rational numbers are natural numbers. always sometimes never

Mathematics

1 answer:

kupik [55]3 years ago

6 0

Answer:

sometimes

Step-by-step explanation:

rational numbers can sometimes be natural since all natural numbers also rational but not all rational numbers natural

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I used elimination to solve this system of equations and found out that y = 1. What does x equal?

stepan [7]

5x + 4y = 24
Substitute y for 1
5x + 4 = 24
5x =20
x = 4

5 0

2 years ago

Find the square root of : √50×8 = ___ Please show steps....

Sav [38]

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3 years ago

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Lorico [155]

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2 years ago

Estimate the area of the parallelogram.

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Step-by-step explanation:

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2 years ago

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BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

Step(i):-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

Step(ii):-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

verification :-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

4 0

2 years ago