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NSC Mathematics AI Practice

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Question 71

Given triangle ABC with sides AB = 7, BC = 10, and AC = 5, determine if triangle ABC is right-angled.
GeometryGeometry - Trianglesmedium

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Question 72

A box contains 4 red balls and 6 blue balls. Two balls are drawn without replacement. What is the probability both are red?
ProbabilityProbability - Without Replacementhard

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Question 73

Find the derivative of f(x) = 5x^3 - 4x + 7.
CalculusDifferentiation rulesmedium

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Question 74

What is the exact value of sin 45°?
TrigonometryTrigonometric ratios and valueseasy

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Question 75

In triangle ABC, angle A = 90°, side AB = 6 cm, and side AC = 8 cm. What is the length of side BC?
GeometryTriangle propertiesmedium

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Question 76

The mean of five numbers is 12. If one number is removed and the mean of the remaining four numbers is 11, what is the removed number?
StatisticsMeasures of central tendencymedium

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Question 77

Evaluate the integral ∫(3x^2 - 4x + 1) dx.
CalculusIntegration basicshard

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Question 78

In circle geometry, if a chord is 8 cm from the center and the radius is 10 cm, what is the length of the chord?
GeometryCircle propertieshard

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Question 79

If f(x) = 3x^2 - 5x + 2, what is f(2)?
FunctionsFunctions and Graphseasy

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Question 80

Solve for x: 2x - 7 = 13.
AlgebraLinear Equationseasy

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