Math Problem Statement

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Do the mathematical formulation and the problem solution based on the rubric and the sample sba. Define Variables:

Let ‘x’ be the Distance from B (directly onshore from A) to D (where the pipeline meets the shore).

Let ‘y’ be the Length of the underwater pipeline (AB).

Let ‘z’ be the Length of the onshore pipeline (DC).

Let ‘p’ be the Cost per km of onshore pipeline.

Let ‘q’ be the Cost per km of onshore pipeline.

Given that AB = 7 km, BC = 10 km.

Solution

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Math Problem Analysis

Mathematical Concepts

Distance
Cost Optimization
Pythagorean Theorem
Algebra
Trigonometry

Formulas

C = p * z + q * y
AB^2 + BC^2 = AC^2

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 10-12