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aev [14]
3 years ago
9

Detirme the value of x

Mathematics
1 answer:
torisob [31]3 years ago
6 0

The total value of a triangle's angles is 180*

so x=180-y-z

x=180-76-41

x=63*

hope it helps

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A certain bacterial culture is multiplying in a culture dish, doubling in size every 6 minutes. It takes exactly an hour to fill
Furkat [3]
Doubling in size,

if the whole dish is filled in an hour (all of it)
how long does it take to fill 1/2 dish?

notice that
1/2 doubled=1/2 times 2=2/2=1 whole dish
therefor it only doubled one more time from the 1/2 point

1hour=all
1hour-6mins=1/2 dish

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3 years ago
Cos (90-theta) • cosec90-theta) =tano. How?​
denis-greek [22]

Answer:

<u>______________________________________________________</u>

<u>TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-</u>

For any right angled triangle with one angle α ,

  • \cos (90 - \alpha  ) = \sin \alpha  or  \sin(90 - \alpha ) = \cos\alpha
  • cosec \: (90 - \alpha  ) = \sec\alpha   or  \sec(90 - \alpha ) = cosec\:\alpha

<u>SOME GENERAL TRIGNOMETRIC FORMULAS :-</u>

  • <u></u>\sin \alpha = \frac{1}{cosec \: \alpha }  or  cosec \: \alpha  = \frac{1}{\sin \alpha }
  • <u></u>\cos \alpha = \frac{1}{\sec \alpha }  or  \sec \alpha = \frac{1}{\cos \alpha }

<u>______________________________________________________</u>

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

\cos (90 - \alpha ) \times cosec(90 - \alpha )

=> sin\alpha  \times \sec\alpha

=> \sin\alpha  \times \frac{1}{\cos\alpha }

=> \frac{\sin\alpha }{\cos\alpha }

=> \tan\alpha = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

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Step-by-step explanation:

Since the equation is parallel, this means that the slope remains the same which is 0.5.

The remaining thing to do is to find b or y-intercept. To do that, the point (6,-2) and the slope of 0.5 will be used.

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When solving for b, it will equal to -5.

Therefore the new equation that is parallel is y=0.5x-5

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Answer:

1)C

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Fiz no Classroom!!!

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