Themes, topics - math word problems - page 30 of 167
Number of problems found: 3330
- Intersection 81017
There are also two equilateral triangles ABC, and BDE, such that the size of the angle ABD is greater than 120° and less than 180° points C and E lie in the same half-plane defined by the line AD. The intersection of CD and AE is marked F. Determine the s - Siblings 6
Siblings Martin and Jitka decided to visit a castle that is 10 km away from their home. Martin left at 7:30 and walked at a speed of 4 km/h. Jitka rode her bicycle behind him an hour and a half later and rode at a speed of 16 km/h. Did Jitka catch up with - Triangle 80994
In the triangle, ABC, the angles alpha and beta axes subtend the angle phi = R + gamma/2. R is a right angle of 90°. Verify. - Respectively 80982
The vertices of the square ABCD are joined by the broken line DEFGHB. The smaller angles at the vertices E, F, G, and H are right angles, and the line segments DE, EF, FG, GH, and HB measure 6 cm, 4 cm, 4 cm, 1 cm, and 2 cm, respectively. Determine the ar - Cross-sectional 80979
An undisciplined motorcyclist drove at an unreasonable speed on a mountain road, lost control in a bend, and left the roadway at 90 km/h. He was falling into a gully 36 m deep. Draw a cross-sectional picture of the whole situation. How far did the motorcy - Double-digit 80970
Eva thought of two natural numbers. She first added these correctly, then subtracted them correctly. In both cases, she got a double-digit result. The product of the resulting two-digit numbers was 645. Which numbers did Eva think of? Please, what is this - Five-minute 80951
Karel has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one.
- SKMO Petra had written natural numbers from 1 to 9. She added two of these numbers, deleted them, and wrote the resulting sum instead of the summaries. She thus had eight numbers written down, which she managed to divide into two groups with the same product.
- Interest 80867
How much is the deposit? Which at an interest rate of 3.75%p. a., will it increase by 25 euros in one year? - Temperature 80864
You have water at a temperature of 10°C and boiling water at a temperature of 100°C. How do you prepare 9 liters of water at a temperature of 30°C? - Longitudinal 80822
How does the rail lengthen when the temperature changes from -30°C to 30°C if it is 25 m long at 0°C? The temperature coefficient of longitudinal expansion is 12.10na-6Kna-1. - Delivering 80805
The courier company delivers the ordered goods through the e-shop. If the delivery were made by 2 cars, it would be completed in 6 hours. However, after 4 hours, the first car's driver stopped delivering, and the second car continued to deliver for anothe - Differential 80799
Kerosene (ρ1 = 830 kg . m-3) flows through the pipe. Calculate the pressure difference in the given sections when the mercury level difference (ρ2 = 13600 kg . m-3) in the mercury differential manometer is h = 2.2 dm. - Hydrostatic 80798
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure. - Calculate 80793 The liquid has a specific gravity of γ = 9050 N. m-3. Calculate its specific gravity, the mass of 2 m³ of this liquid, and also of 3 m³ of this liquid.
- Hydrostatic 80790 The hydrostatic pressure at a depth of 6.5 m in an open liquid container is 79.5 kPa. What is the specific gravity of this liquid?
- Magnitudes 80788
The minute hand is three times longer than the second hand. In what ratio are the magnitudes of the velocities of their endpoints? - Fertilizer 80787
The fertilizer contains 15.8% nitrogen. Calculate the mass of fertilizer that must be added to the soil to make 17.0 g of nitrogen effective. Addition losses are 6.60%. - Probability 80785
We roll the dice and then toss the coin as many times as the number that came up on the dice. What is the probability that the coin lands head at least once? - Dimensions 80782
Find the area of the stadium, which on a map with a scale of 1:16000, has dimensions of 2cm x 3cm.
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