answer:First, let's find the height of Clyde's tower. Since Grace's tower is 8 times the size of Clyde's and it is 40.5 inches tall, we can find Clyde's tower height by dividing Grace's tower height by 8. Clyde's tower height = 40.5 inches / 8 = 5.0625 inches Next, we find the height of Sarah's tower, which is twice the height of Clyde's tower. Sarah's tower height = 2 * Clyde's tower height = 2 * 5.0625 inches = 10.125 inches Now, we can find the height of Linda's tower, which is the average of the heights of Clyde's, Grace's, and Sarah's towers. Linda's tower height = (Clyde's tower height + Grace's tower height + Sarah's tower height) / 3 Linda's tower height = (5.0625 inches + 40.5 inches + 10.125 inches) / 3 Linda's tower height = (55.6875 inches) / 3 Linda's tower height = 18.5625 inches Finally, we can find the combined height of all four towers by adding the heights of Clyde's, Grace's, Sarah's, and Linda's towers. Combined height = Clyde's tower height + Grace's tower height + Sarah's tower height + Linda's tower height Combined height = 5.0625 inches + 40.5 inches + 10.125 inches + 18.5625 inches Combined height = 74.25 inches The combined height of all four towers is boxed{74.25} inches.

answer:We start by simplifying each square root separately: 1. sqrt{5 cdot 3} = sqrt{15} 2. sqrt{3^3 cdot 5^3} = sqrt{3^3 cdot 5^3} = sqrt{(3 cdot 5)^3} = sqrt{15^3} Now, we combine the square roots: sqrt{15} cdot sqrt{15^3} = sqrt{15 cdot 15^3} = sqrt{15^4} Since 15^4 is a perfect square, we simplify it: sqrt{15^4} = 15^2 = 225 So, the final simplified expression is: boxed{225}

answer:To round to the nearest tenth, we look at the digit in the hundredth place: - 65.06 (A) rounds down to 65.1 because the digit in the hundredth place, 6, is less than 5. - 65.15 (B) rounds up to 65.2 because the digit in the hundredth place, 5, leads to rounding up. - 65.24 (C) rounds up to 65.2 because the digit in the hundredth place, 4, is greater than 5. - 65.19 (D) rounds up to 65.2 because the digit in the hundredth place, 9, is greater than 5. - 65.05 (E) rounds down to 65.1 because the digit in the hundredth place, 5, leads to rounding up. Conclusion: After rounding to the nearest tenth, options B, C, and D round to 65.2, while A and E round to 65.1. Therefore, boxed{B} is the answer as it does not round to 65.1 but rounds to 65.2.

answer:# Problem: 4. (15 баллов) Танкер наполняют нефтью со скоростью 2 барреля в минуту. Сколько это в кубометрах в час? 1 баррель равен 159 литрам. # Given: - Flow rate: ( 2 frac{text{барреля}}{text{мин}} ) - Conversion factor: ( 1 text{баррель} = 159 text{литров} ) : 1. **Convert barrels per minute to liters per minute:** [ 2 frac{text{барреля}}{text{мин}} cdot 159 frac{text{литров}}{text{баррель}} = 2 cdot 159 frac{text{литров}}{text{мин}} = 318 frac{text{литров}}{text{мин}} ] 2. **Convert liters per minute to liters per hour:** [ 318 frac{text{литров}}{text{мин}} cdot 60 frac{text{мин}}{text{час}} = 318 cdot 60 frac{text{литров}}{text{час}} = 19080 frac{text{литров}}{text{час}} ] 3. **Convert liters to cubic meters:** Since ( 1 text{литр} = 0.001 text{м}^3 ), [ 19080 text{литров} cdot 0.001 frac{text{м}^3}{text{литр}} = 19080 cdot 0.001 text{м}^3 = 19.08 text{м}^3 ] # Conclusion: The flow rate in cubic meters per hour is: [ boxed{19.08 text{м}^3/text{час}} ]