Questions and answers from this day. Play today's quiz to build your streak.
Question 1 · Linear equations
Answer: 11. Add the two equations: 2x = 12 + 10 = 22, so x = 11.
Question 2 · Trigonometry
Answer: 1/4. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 30° × cos 60° = 1/4.
Question 3 · Pythagoras theorem
Answer: 50 cm. c² = 14² + 48² = 196 + 2304 = 2500, so c = 50 cm.
Question 4 · AP sums
Answer: 275. Sum = n/2 × (2a + (n − 1)d) = 10/2 × (10 + 45) = 275.
Question 5 · Quadratic equations
Answer: 2. x² − 3x + 2 = (x − 2)(x − 1) = 0, so the roots are 2 and 1. The larger is 2.
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