water utility calculations - module 5 - solving for the unknown value

work the problem and type the correct answer into the box below. (round answer to nearest whole number)

$(0.785)(x^2)(80)(7.48) = 187,898$

$x = $

Question

water utility calculations - module 5 - solving for the unknown value

work the problem and type the correct answer into the box below. (round answer to nearest whole number)

$(0.785)(x^2)(80)(7.48) = 187,898$

$x = $

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Quadratic Equations", "Applied Math Calculations" ], "new_concepts": [], "current_concepts": [ "Solving Quadratic Equations", "Applied Math Calculations" ] } ## Simplify the coefficient of $x^2$ $$ (0.785) \cdot (80) \cdot (7.48) = 469.744 $$ ## Isolate $x^2$ $$ \begin{aligned} 469.744 \cdot x^2 &= 187,898 \ x^2 &= \frac{187,898}{469.744} \ x^2 &\approx 400.00085 \end{aligned} $$ ## Solve for $x$ and round to the nearest whole number $$ \begin{aligned} x &= \sqrt{400.00085} \ x &\approx 20.00002 \ x &\approx 20 \end{aligned} $$ Work the problem and type the correct answer into the box below. (round answer to nearest whole number) $(0.785)(x^2)(80)(7.48) = 187,898$ $x =$ 20 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Simplify the coefficient of \(x^2\)

Isolate \(x^2\)

Solve for \(x\) and round to the nearest whole number

Answer: