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Nadusha1986 [10]
4 years ago
8

Help me solve these step by step please !!!

Mathematics
2 answers:
Anettt [7]4 years ago
7 0

Answer:

#2) is 25

Step-by-step explanation:

the best way to solve any of theses is in the order of pemdas:

●parentheses

●exponents

●multiplication & division

●addition & subtraction

for example lets do #2

9+ (2^2)(4)

the first parenthesis has exponents so you'd do it first. 2^2 (two two times) is 4

9+(4)(4)

when two parentheses are next to Each other you multiply. 4x4 is 16

9+16

then finally you add

25

use these steps for the rest. just comment if you have any questions

Monica [59]4 years ago
6 0

Answer:

all work is shown and pictured

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Step-by-step explanation:

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This will be 46 - 24 = 22 points difference

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Answer:

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

Step-by-step explanation:

<u><em>Step(i):</em></u>-

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}

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

<u><em>verification </em></u>:-

      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}

                     

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Use the photo below

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