Subjects algebra

Evaluate Expressions D5F86E

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1. **Problem b:** Evaluate $$\frac{-\sqrt{38}}{\text{trunc}(1.3) \times | -1.53 | \times \sqrt{1}}$$. 2. **Step 1:** Calculate each component. - $\sqrt{38} \approx 6.1644$ - $\text{trunc}(1.3) = 1$ (truncation removes decimal part) - $| -1.53 | = 1.53$ - $\sqrt{1} = 1$ 3. **Step 2:** Substitute values into the expression: $$\frac{-6.1644}{1 \times 1.53 \times 1} = \frac{-6.1644}{1.53}$$ 4. **Step 3:** Perform the division: $$-6.1644 \div 1.53 \approx -4.03$$ --- 5. **Problem c:** Evaluate $$\text{trunc} \left( \frac{1.8}{4} \right) + \left( | -4.1 | \times \left[ 6 - \sqrt{9.6} \right] \right)$$. 6. **Step 1:** Calculate each component. - $\frac{1.8}{4} = 0.45$ - $\text{trunc}(0.45) = 0$ - $| -4.1 | = 4.1$ - $\sqrt{9.6} \approx 3.0984$ 7. **Step 2:** Calculate inside the brackets: $$6 - 3.0984 = 2.9016$$ 8. **Step 3:** Multiply: $$4.1 \times 2.9016 \approx 11.8966$$ 9. **Step 4:** Add truncation result: $$0 + 11.8966 = 11.8966$$ **Final answers:** - b) $\approx -4.03$ - c) $\approx 11.90$