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forsale [732]
2 years ago
9

24) sin x = 1/3 Find cos x.

Mathematics
2 answers:
Maru [420]2 years ago
8 0

Answer:

cos(x) =\±2\frac{\sqrt{2}}{3}

Step-by-step explanation:

We know that sen(x) =\frac{1}{3}

Remember the following trigonometric identities

cos ^ 2(x) = 1-sin ^ 2(x)

Use this identity to find the value of cosx.

If sen(x) =\frac{1}{3} then:

cos ^ 2(x) = 1-(\frac{1}{3})^2

cos ^ 2(x) =\frac{8}{9}

cos(x) =\±\sqrt{\frac{8}{9}}

cos(x) =\±2\frac{\sqrt{2}}{3}

liq [111]2 years ago
6 0

Answer:

\frac{2\sqrt{2} }{3}

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

\sqrt{9-1}=\sqrt{8}=2\sqrt{2}

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

\frac{2\sqrt{2} }{3}

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USPshnik [31]

Answer:

  • $17,500 at 8%
  • $17,500 at 14%

Step-by-step explanation:

The fraction that needs to be invested at the higher rate is ...

  (11% - 8%)/(14% -8%) = 3%/6% = 1/2

Half the money should be invested at each of the rates:

  $17,500 for 8% return

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If you let x represent the amount at the higher rate, then the total return is ...

  14%x + 8%(35000 -x) = 11%(35000)

  (14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000

  x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x

Note that this formula is exactly the one we started with, above.

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3 years ago
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The Sun, Earth's orbit, the oceans, greenhouse gases, and dust.

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Nana76 [90]
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<em>(a), (d)</em>

Step-by-step explanation:

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Answer:

y = 2x - 4

Step-by-step explanation:

Rearrange the given equation to slope-intercept form.

x + 2y = 2

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y = -1/2x + 1

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