The derivative of a constant is _____.

Here are the solutions to the problems: 20. The derivative of a constant is _____. The derivative of any constant is zero. The correct option is (b) 0. 0 21. The distance round a circle is called _____. The distance around a circle is called its circumference. The correct option is (c) Circumference. Circumference 22. What is the Sin of 30^? The value of (30^) is 0.5. The correct option is (c) 0.500. 0.500 23. Solve x^2 - 5x + 6 = 0 by factorization. Step 1: Factor the quadratic equation. We need two numbers that multiply to 6 and add to -5. These numbers are -2 and -3. (x-2)(x-3) = 0 Step 2: Set each factor to zero and solve for x. x-2 = 0 x = 2 x-3 = 0 x = 3 The solutions are x=2 and x=3. The correct option is (a) x=3, 2. x=2, 3 24. The Negation of "all birds can fly" is _____. The negation of a universal statement "All A are B" is an existential statement "Some A are not B". Therefore, the negation of "all birds can fly" is "Some birds cannot fly". The correct option is (a) "Some birds cannot fly". Some birds cannot fly 25. In a right angled triangle, if the hypotenuse is 13m and one leg is 5m, what is the Length of the other Leg? Step 1: Use the Pythagorean theorem, a^2 + b^2 = c^2, where c is the hypotenuse and a, b are the legs. Let c = 13m and a = 5m. We need to find b. 5^2 + b^2 = 13^2 Step 2: Calculate the squares. 25 + b^2 = 169 Step 3: Solve for b^2. b^2 = 169 - 25 b^2 = 144 Step 4: Take the square root to find b. b = sqrt(144) b = 12 m The length of the other leg is 12m. The correct option is (b) 12m. 12 m --- SECTION B: THEORY 1. Given A = (3)/(8). Find the value of (i) A (ii) A (iii) A (iv) A (v) A (In Surd form) Step 1: Draw a right-angled triangle and label the sides. If A = oppositeadjacent = (3)/(8), then the opposite side is 3 and the adjacent side is 8. Step 2: Use the Pythagorean theorem to find the hypotenuse (h). h^2 = 3^2 + 8^2 h^2 = 9 + 64 h^2 = 73 h = sqrt(73) Step 3: Calculate the trigonometric ratios. a) A: A = oppositehypotenuse =