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Donnelly Horton
04/13/2023 · Junior High School

9. Картадағы Қарағанды мен Астана қалаларының арақашықтығы 10,2 см, ал Ақтау мен Ақтөбе қаларының арақашықтығы 13,3 см- ге тең. Жердегі Қарағанды мен Астана қапаларының арақашықтығы 204 км болса, Ақтау мен Ақтөбе қаларының арақашықтығын жөне масштабын табыңыз. (A) 248 км, 1:2000000 (B) 248 км, 1:200000 (C) 266 км, 1:2000000 (D) 266 км, 1:200000

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В данном случае, чтобы решить систему уравнений, нам нужно сначала найти \( x \) и затем масштаб карты. Давайте сначала найдем \( x \) и затем масштаб карты. Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{10.2}{13.3}=\frac{204}{x}\) - step1: Find the domain: \(\frac{10.2}{13.3}=\frac{204}{x},x\neq 0\) - step2: Divide the terms: \(\frac{102}{133}=\frac{204}{x}\) - step3: Swap the sides: \(\frac{204}{x}=\frac{102}{133}\) - step4: Rewrite the expression: \(x=\frac{204\times 133}{102}\) - step5: Evaluate: \(x=266\) - step6: Check if the solution is in the defined range: \(x=266,x\neq 0\) - step7: Find the intersection: \(x=266\) Решение для \( x \) равно 266 км. Теперь давайте найдем масштаб карты. Масштаб карты определяется отношением реального расстояния к расстоянию на карте. Масштаб = Реальное расстояние / Расстояние на карте Масштаб = 204 км / 10.2 см Масштаб = 20 000 000 (1 см = 20 000 000 см) Следовательно, масштаб карты равен 1:20 000 000.

Quick Answer

Решение для расстояния между Ақтау и Ақтөбе равно 266 км, масштаб карты 1:20 000 000.
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