Pregunta
8. \( 2 \times \frac{22}{7} \times(5.25)^{2} \)
Ask by Clarke Turnbull. in India
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The result of the expression \( 2 \times \frac{22}{7} \times (5.25)^2 \) is **173.25**.
Solución
To evaluate the expression:
\[ 2 \times \frac{22}{7} \times (5.25)^2 \]
Let's break it down step by step.
1. **Calculate \( (5.25)^2 \):**
\[
5.25 \times 5.25 = 27.5625
\]
2. **Multiply by \( \frac{22}{7} \):**
\[
27.5625 \times \frac{22}{7} = 27.5625 \times 3.142857 \approx 86.625
\]
3. **Finally, multiply by 2:**
\[
2 \times 86.625 = 173.25
\]
**Final Answer:**
\[ 2 \times \frac{22}{7} \times (5.25)^2 = 173.25 \]
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Mind Expander
To start, let’s break down the calculation. First, we need to square 5.25. Calculating \( (5.25)^{2} \) gives us \( 27.5625 \). Now, substituting this back into the expression, we get \( 2 \times \frac{22}{7} \times 27.5625 \). Next, multiplying \( \frac{22}{7} \) by \( 27.5625 \) gives approximately \( 85.2142857 \). Finally, when we multiply that by 2, we arrive at roughly \( 170.4285714 \). So the final answer, rounded to two decimal places, is \( 170.43 \).
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