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: Question 1: Currency Conversion a) 130 EUR = 4790700 This is a given conversion value. b) 700 USD = 993300 RWF This is a given conversion rate. c) 150,000 UGSH = 150 RWF This is a given conversion rate. d) 110 USD = RWF Step 1: Determine the conversion rate for 1 USD from the given information. 1 USD = 993300 RWF700 USD = 1419 RWF/USD Step 2: Calculate the value for 110 USD. 110 USD = 110 × 1419 RWF 110 USD = 156090 RWF So, 110 USD = 156090 RWF. e) 130 EUR = RWF From the first line, the value is directly given. 130 EUR = 4790700 RWF So, 130 EUR = 4790700 RWF. Question 2: Find the missing numbers The sequence is: 15, 20, 25, 30, \_, 39, 40, 45. Step 1: Identify the pattern in the initial numbers. The difference between consecutive numbers is: 20 - 15 = 5 25 - 20 = 5 30 - 25 = 5 The pattern is an increase of 5 for each step. Step 2: Apply the pattern to find the missing number. Following the pattern, the number after 30 should be 30 + 5 = 35. If we continue the pattern: 35 + 5 = 40, and 40 + 5 = 45. The numbers 40 and 45 fit this pattern. The number 39 in the original list appears to be an error or an outlier. The missing number in the sequence 15, 20, 25, 30, \_, 40, 45 is 35. Question 3: Cuboid Volume The volume of a cuboid is 720000 cm^3. Its base is a square of side 20 cm. a) What is its height? Step 1: Calculate the base area of the cuboid. Since the base is a square with side 20 cm: Base Area = side × side = 20 cm × 20 cm = 400 cm^2 Step 2: Use the volume formula to find the height. The volume of a cuboid is given by V = Base Area × Height. 720000 cm^3 = 400 cm^2 × Height Step 3: Solve for the height. Height = 720000 cm^3400 cm^2 Height = 1800 cm The height of the cuboid is 1800 cm. b) What is its base area? Step 1: Calculate the base area. Since the base is a square with side 20 cm: Base Area = side × side = 20 cm × 20 cm Base Area = 400 cm^2 The base area of the cuboid is 400 cm^2. Question 4: Copy and complete the table The formula relating Volume (V), Base Area (A), and Height (H) is V = A × H, which can be rearranged to H = (V)/(A). Row 1: Volume = 375 cm^3 Base Area = 75 cm^2 Step 1: Calculate the height. Height = 375 cm^375 cm^2 Height = 5 cm The height is 5 cm. Row 2: Volume = 850 cm^3 Base Area = 50 cm^2 Step 1: Calculate the height. Height = 850 cm^350 cm^2 Height = 17 cm The height is 17 cm. Last free one today — make it count tomorrow, or type /upgrade for unlimited.