Егер картада 10 см кескінмен бейнеленген арақашықтықтың жер бетіндегі арақашықтығы 2500 км болса, масштабты анықтаңыз: 2. Жоспардағы үйдің ұзындығы 36 см-ге тең. Егер жоспардың масштабы 1:900 болса, үйдің жердегі ұзындығы неге тең?

Question

Asked on August 1, 2026Mathematics

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.

Accepted Answer · 2026-08-01T05:26:27.627Z

Here are the solutions to the problems: 1. Масштабын анықтаңыз (Determine the scale): Given: Map distance = 10 cm, Real distance = 2500 km. Step 1: Convert the real distance to centimeters to match the map distance units. 1 km = 100000 cm 2500 km = 2500 × 100000 cm = 250000000 cm Step 2: Express the scale as a ratio of map distance to real distance. Scale = Map distanceReal distance = 10 cm250000000 cm Step 3: Simplify the ratio to the form 1:N. Scale = (10)/(250000000) = (1)/(25000000) The scale is 1:25000000. The correct option is A) 1:25 000 000. --- 2. Үйдің жердегі ұзындығы неге тең? (What is the real-world length of the house?) Given: Plan length = 36 cm, Scale = 1:900. Step 1: Use the scale to find the real length. The scale 1:900 means 1 cm on the plan represents 900 cm in reality. Real length = Plan length × Scale factor Real length = 36 cm × 900 Real length = 32400 cm Step 2: Convert the real length from centimeters to meters. 1 m = 100 cm Real length = (32400)/(100) m = 324 m The correct option is B) 324 m. --- 3. Картада осы магистральды бейнелейтін кесіндінің ұзындығы қандай? (What is the length of the segment representing this line on a map?) Given: Real length = 4116 km, Scale = 1:4000000. Step 1: Convert the real length to centimeters. 1 km = 100000 cm 4116 km = 4116 × 100000 cm = 411600000 cm Step 2: Use the scale to find the map length. The scale 1:4000000 means 1 cm on the map represents 4000000 cm in reality. Map length = Real lengthScale factor Map length = 411600000 cm4000000 Step 3: Calculate the map length. Map length = (4116)/(40) cm = 102.9 cm The correct option is D) 102.9 cm. --- 4. Картада осы екі қаланың арақашықтығын (миллиметрмен) табыңыз. (Find the distance between these two cities on a map (in millimeters).) Given: Real distance = 218 km, Scale = 1:200000. Step 1: Convert the real distance to millimeters. 1 km = 1000000 mm 218 km = 218 × 1000000 mm = 218000000 mm Step 2: Use the scale to find the map distance. The scale 1:200000 means 1 mm on the map represents 200000 mm in reality (or 1 unit on map represents 200000 units in reality). Map distance = Real distanceScale factor Map distance = 218000000 mm200000 Step 3: Calculate the map distance. Map distance = (2180)/(2) mm = 1090 mm The correct option is A) 1090 mm. --- 5. Масштабтарды салыстыр: 70:5000 7:500 (Compare the scales: 70:5000 7:500) Step 1: Simplify the first scale 70:5000. 70:5000 = (70)/(5000) Divide both numerator and denominator by 10: (70 ÷ 10)/(5000 ÷ 10) = (7)/(500) Step 2: Compare the simplified first scale with the second scale. The first scale is (7)/(500). The second scale is (7)/(500). Step 3: Determine the relationship between the two scales. Since (7)/(500) = (7)/(500), the two scales are equal. The correct option is C) =. Drop the next question! 📸

Accepted Answer · 2026-08-01T05:26:27.627Z

Here are the solutions to the problems: 1. Масштабын анықтаңыз (Determine the scale): Given: Map distance = 10 cm, Real distance = 2500 km. Step 1: Convert the real distance to centimeters to match the map distance units. 1 km = 100000 cm 2500 km = 2500 × 100000 cm = 250000000 cm Step 2: Express the scale as a ratio of map distance to real distance. Scale = Map distanceReal distance = 10 cm250000000 cm Step 3: Simplify the ratio to the form 1:N. Scale = (10)/(250000000) = (1)/(25000000) The scale is 1:25000000. The correct option is A) 1:25 000 000. --- 2. Үйдің жердегі ұзындығы неге тең? (What is the real-world length of the house?) Given: Plan length = 36 cm, Scale = 1:900. Step 1: Use the scale to find the real length. The scale 1:900 means 1 cm on the plan represents 900 cm in reality. Real length = Plan length × Scale factor Real length = 36 cm × 900 Real length = 32400 cm Step 2: Convert the real length from centimeters to meters. 1 m = 100 cm Real length = (32400)/(100) m = 324 m The correct option is B) 324 m. --- 3. Картада осы магистральды бейнелейтін кесіндінің ұзындығы қандай? (What is the length of the segment representing this line on a map?) Given: Real length = 4116 km, Scale = 1:4000000. Step 1: Convert the real length to centimeters. 1 km = 100000 cm 4116 km = 4116 × 100000 cm = 411600000 cm Step 2: Use the scale to find the map length. The scale 1:4000000 means 1 cm on the map represents 4000000 cm in reality. Map length = Real lengthScale factor Map length = 411600000 cm4000000 Step 3: Calculate the map length. Map length = (4116)/(40) cm = 102.9 cm The correct option is D) 102.9 cm. --- 4. Картада осы екі қаланың арақашықтығын (миллиметрмен) табыңыз. (Find the distance between these two cities on a map (in millimeters).) Given: Real distance = 218 km, Scale = 1:200000. Step 1: Convert the real distance to millimeters. 1 km = 1000000 mm 218 km = 218 × 1000000 mm = 218000000 mm Step 2: Use the scale to find the map distance. The scale 1:200000 means 1 mm on the map represents 200000 mm in reality (or 1 unit on map represents 200000 units in reality). Map distance = Real distanceScale factor Map distance = 218000000 mm200000 Step 3: Calculate the map distance. Map distance = (2180)/(2) mm = 1090 mm The correct option is A) 1090 mm. --- 5. Масштабтарды салыстыр: 70:5000 7:500 (Compare the scales: 70:5000 7:500) Step 1: Simplify the first scale 70:5000. 70:5000 = (70)/(5000) Divide both numerator and denominator by 10: (70 ÷ 10)/(5000 ÷ 10) = (7)/(500) Step 2: Compare the simplified first scale with the second scale. The first scale is (7)/(500). The second scale is (7)/(500). Step 3: Determine the relationship between the two scales. Since (7)/(500) = (7)/(500), the two scales are equal. The correct option is C) =. Drop the next question! 📸

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