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Simplify the following expression:

[tex]\[ 70^2 \div 52 \div 2 \cdot \phi .33 \][/tex]


Sagot :

Let's work through this problem step by step.

1. First, calculate [tex]\(70^2\)[/tex]:
[tex]\[ 70^2 = 4900. \][/tex]

2. Next, divide [tex]\(4900\)[/tex] by [tex]\(52\)[/tex]:
[tex]\[ \frac{4900}{52} \approx 94.23076923076923. \][/tex]

3. Now, take the result from the previous step and divide it by [tex]\(2\)[/tex]:
[tex]\[ \frac{94.23076923076923}{2} \approx 47.11538461538461. \][/tex]

4. Multiply this result by [tex]\(\pi\)[/tex] (using the approximation [tex]\(\pi \approx 3.14\)[/tex]):
[tex]\[ 47.11538461538461 \times 3.14 \approx 147.56107692307695. \][/tex]

5. Finally, multiply this result by [tex]\(0.33\)[/tex]:
[tex]\[ 147.56107692307695 \times 0.33 \approx 48.82096153846154. \][/tex]

Thus, the final result is approximately [tex]\(48.82096153846154\)[/tex].