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 your questions. 1. Give 3 properties of the following shapes: a) Parallelogram • Opposite sides are parallel. • Opposite sides are equal in length. • Opposite angles are equal. b) Rhombus • All four sides are equal in length. • Opposite angles are equal. • Diagonals bisect each other at right angles. c) Trapezoid • It has at least one pair of parallel sides. • The sum of angles between parallel sides is 180^. • The non-parallel sides are called legs. 2. Find the area of a square with length 9cm. Step 1: Recall the formula for the area of a square. The area of a square is given by A = s^2, where s is the side length. Step 2: Substitute the given side length into the formula. A = (9 cm)^2 Step 3: Calculate the area. A = 81 cm^2 The area of the square is 81 cm^2. 3. What is the probability of picking a red ball from a bag with 3 red balls and 2 blue balls. Step 1: Determine the total number of balls and the number of red balls. Number of red balls = 3 Number of blue balls = 2 Total number of balls = 3 + 2 = 5 Step 2: Calculate the probability. Probability of picking a red ball = Number of red ballsTotal number of balls P(red ball) = (3)/(5) The probability of picking a red ball is (3)/(5). 4. A coin is flipped. What is the chance it lands on heads. Step 1: Identify the possible outcomes when flipping a coin. The possible outcomes are Heads (H) or Tails (T). There are 2 possible outcomes. Step 2: Determine the number of favorable outcomes for landing on heads. There is 1 favorable outcome (Heads). Step 3: Calculate the probability. Probability of landing on heads = Number of favorable outcomesTotal number of outcomes P(heads) = (1)/(2) The chance of landing on heads is (1)/(2). 5. What is the place value of 7 in 3,745. Step 1: Identify the digits in the number 3,745. The digits are 3 (thousands place), 7 (hundreds place), 4 (tens place), and 5 (ones place). Step 2: Determine the place value of the digit 7. The digit 7 is in the hundreds place. The place value of 7 is 7 × 100 = 700. The place value of 7 in 3,745 is Hundreds (or 700). 6. Find the perimeter of a rectangle with length 8cm and width 5cm. Step 1: Recall the formula for the perimeter of a rectangle. The perimeter of a rectangle is given by P = 2(l + w), where l is the length and w is the width. Step 2: Substitute the given length and width into the formula. P = 2(8 cm + 5 cm) Step 3: Calculate the perimeter. P = 2(13 cm) P = 26 cm The perimeter of the rectangle is 26 cm. 7. Convert 3.7kg to grams. Step 1: Recall the conversion factor between kilograms and grams. 1 kg = 1000 g Step 2: Multiply the given mass in kilograms by the conversion factor. 3.7 kg × 1000 g1 kg Step 3: Perform the multiplication. 3.7 × 1000 g = 3700 g 3.7 kg is equal to 3700 g. Send me the next one 📸