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)

\10.1 = \frac{(0.785)(122)(15)(7.48)}{(0.785)(x^2)}\

$x =$

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)

\10.1 = \frac{(0.785)(122)(15)(7.48)}{(0.785)(x^2)}\

$x =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Simplification" ], "new_concepts": [ "Solving Quadratic Equations", "Applied Math Calculations" ], "current_concepts": [ "Algebraic Simplification", "Solving Quadratic Equations", "Applied Math Calculations" ] } ## Simplify the algebraic expression $$ \begin{aligned} 10.1 &= \frac{(0.785)(122)(15)(7.48)}{(0.785)(x^2)} \ 10.1 &= \frac{(122)(15)(7.48)}{x^2} \end{aligned} $$ ## Solve for $x^2$ $$ \begin{aligned} 10.1 &= \frac{13688.4}{x^2} \ x^2 &= \frac{13688.4}{10.1} \ x^2 &\approx 1355.287 \end{aligned} $$ ## Solve for $x$ and round to the nearest whole number $$ \begin{aligned} x &= \sqrt{1355.287} \ x &\approx 36.81 \ x &\approx 37 \end{aligned} $$ Work the problem and type the correct answer into the box below. (round answer to nearest whole number) $10.1 = \frac{(0.785)(122)(15)(7.48)}{(0.785)(x^2)}$ $x =$ 37 { "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 algebraic expression

Solve for \(x^2\)

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

Answer: