This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions to the questions: Question 32: Find the value of P in the figure below. Step 1: Recognize that angles on a straight line sum to 180^. Step 2: Set up the equation based on the given angles. 110^ + 2P = 180^ Step 3: Solve for 2P. 2P = 180^ - 110^ 2P = 70^ Step 4: Solve for P. P = (70^)/(2) P = 35^ The value of P is 35^. The correct option is (c). c) 35^ Question 33: Change 3% to fraction in its lowest term. Step 1: Convert the percentage to a fraction by dividing by 100. 3\% = (3)/(100) Step 2: Check if the fraction can be simplified. The numerator (3) is a prime number. The denominator (100) is not divisible by 3. Therefore, the fraction is already in its lowest term. The correct option is (a). a) (3)/(100) Question 34: A line from the centre of a circle to any point on a circumference is called --- Step 1: Recall the definition of a radius. A radius is a line segment that connects the center of a circle to any point on its circumference. The correct option is (b). b) radius Question 35: Write 2019 in Roman numeral. Step 1: Break down the number 2019. 2019 = 2000 + 10 + 9 Step 2: Convert each part to its Roman numeral. 2000 = MM 10 = X 9 = IX Step 3: Combine the Roman numerals. 2019 = MMXIX The Roman numeral for 2019 is MMXIX. The correct option is (b). b) MMXIX Question 36: Convert 12_10 to binary number. Step 1: Perform repeated division by 2, noting the remainders. 12 ÷ 2 = 6 remainder 0 6 ÷ 2 = 3 remainder 0 3 ÷ 2 = 1 remainder 1 1 ÷ 2 = 0 remainder 1 Step 2: Read the remainders from bottom to top. The binary representation of 12_10 is 1100_2. The correct option is (a). a) 1100_2 Got more? Send 'em!