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otez555 [7]
3 years ago
13

Suki typed 245 words in 3 1/2 mintues.what is suki typing rate

Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0
3 1/2 minutes = 3 minutes 30 seconds = 210 seconds

Suki typing rate
210 seconds = 245 words
60 seconds = 245*60 / 210 = 70 words
(60 seconds = 1 minute)
then Suki typing rate is 70 words per minute
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Pleaseeeeeee help mee
BlackZzzverrR [31]

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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3 years ago
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Answer:

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Step-by-step explanation:

all triangle's angle measures add up to 180

180-98-45 = x

x = 37

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3 years ago
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4 years ago
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Dovator [93]

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Step-by-step explanation:

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