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Use tables to evaluate (g) 2.347 x 0.3432 / (3.76)2 and (h) sqrt(282.3 x 4.809) / (0.8902 x (1.2)4)

Mathematics

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2 parts
a

0.0635\text{0.0635}

b

19.96\text{19.96}

Step-by-step solution

9 steps

The instruction "use tables to evaluate" typically refers to using logarithm tables, square root tables, or similar. Since I do not have access to specific tables, I will evaluate the expressions using direct calculation.

Part a· 4 steps

Evaluate 2.347×0.3432(3.76)2\frac{\sqrt{2.347 \times 0.3432}}{(3.76)^2}

  1. Calculate the product inside the square root.

    2.347×0.3432=0.80540642.347 \times 0.3432 = 0.8054064

  2. Calculate the square root of the product.

    0.8054064≈0.8974443\sqrt{0.8054064} \approx 0.8974443

  3. Calculate the square of the denominator.

    (3.76)2=14.1376(3.76)^2 = 14.1376

  4. Divide the numerator by the denominator and round to 3 significant figures.

    0.897444314.1376≈0.0634799≈0.0635\frac{0.8974443}{14.1376} \approx 0.0634799 \approx \boxed{\text{0.0635}}

Part b

19.96\text{19.96}

Evaluate 282.3×4.8090.8902×(1.2)4\frac{\sqrt{282.3 \times 4.809}}{0.8902 \times (1.2)^4}

  1. Calculate the product inside the square root in the numerator.

    282.3×4.809=1357.6907282.3 \times 4.809 = 1357.6907

  2. Calculate the square root of the product.

    1357.6907≈36.84685\sqrt{1357.6907} \approx 36.84685

  3. Calculate (1.2)4(1.2)^4.

    (1.2)4=2.0736(1.2)^4 = 2.0736

  4. Calculate the product in the denominator.

    0.8902×2.0736=1.846069120.8902 \times 2.0736 = 1.84606912

  5. Divide the numerator by the denominator and round to 4 significant figures.

    36.846851.84606912≈19.9595≈19.96\frac{36.84685}{1.84606912} \approx 19.9595 \approx \boxed{\text{19.96}}
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