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E^(0.2 * 2.83 / sin 19)

Mathematics

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Answer

5.69\text{5.69}

Step-by-step solution

4 steps

  1. Calculate the product in the numerator of the exponent.

    0.2×2.83=0.5660.2 \times 2.83 = 0.566

  2. Calculate the value of sin⁡19∘\sin 19^\circ.

    sin⁡19∘≈0.325568\sin 19^\circ \approx 0.325568

  3. Divide the numerator by the denominator to find the exponent.

    0.5660.325568≈1.73847\frac{0.566}{0.325568} \approx 1.73847

  4. Calculate ee raised to the power of the exponent.

    e1.73847≈5.6888e^{1.73847} \approx 5.6888

    The value of the expression is 5.69\text{5.69}.

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