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Questions in mathematics

[Jawaban] The area \( A \) of a rhombus is one-half the product of the diagonals \( p \) and \( q \). Write a formula to express the given relation.

[Jawaban] Solve the inequality: \[ 3(3f - 2) > 5f - 3 \]

[Jawaban] Emma thinks of two prime numbers and adds them together to get 36. What are the possible prime numbers Emma could be thinking of?

[Jawaban] What is 3,465 in expanded form?

[Jawaban] Jack has two square-based pyramids that are the same size. He sticks the square faces together to make a new 3D shape. How many faces and how many edges does his new 3D shape have?

[Jawaban] Write the missing number: \[ 12.5 \div \, ? \, = 7.5 \div 1.5 \]

[Jawaban] What is the cube root of 81?

[Jawaban] What is the height of a hemisphere if it has a radius of [tex]0.8 \, \text{m}[/tex] (80 cm)?

[Jawaban] What is the percentage discount if $70 is discounted to $63?

[Jawaban] Use a transformation to solve the equation: \(-3d = -27\). A. \(d = -30\) B. \(d = -24\) C. \(d = -9\) D. \(d = 9\)