Math Problem Statement

An image containing multiple mathematical problems written in Bengali, ranging from algebraic expressions to geometry and probability.

Solution

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Math Problem Analysis

Mathematical Concepts

Ratios and Proportions
Algebra
Geometry
Probability
Statistics
Trigonometry

Formulas

Area of triangle: 0.5 * base * height
Cosine rule: cos(A) = (b^2 + c^2 - a^2) / (2bc)
Sum of frequencies in statistics: ∑fi
Mean formula: μ = ∑(xi * fi) / ∑fi
Pythagoras theorem: a^2 + b^2 = c^2
Arithmetic and geometric progressions

Theorems

Pythagorean Theorem
Trigonometric Identities
Properties of Ratios and Proportions
Basic Probability Rules

Suitable Grade Level

Grades 9-12