Physical quantities - math word problems - page 147 of 298
Number of problems found: 5952
- The coordinates
The coordinates (5, 2) and (-6, 2) are vertices of a hexagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment? - The chord
A chord passing through its center is the side of the triangle inscribed in a circle. What size are a triangle's internal angles if one is 40°? - Three sigma rule
Stomach weights are normally distributed, with a mean of 1314 g and a standard deviation of 113 g. State the probability that a randomly selected stomach weighs more than 1118 g. (Report the probabilities using at least four decimal places. ) - Triangle similarity
Find out if the triangles ABC and A'B'C' are similar, determine the similarity coefficient and write the similarity: a = 40 mm, b = 48 mm, c = 32 mm a´ = 60 mm, b´ = 50 mm, c´ = 40 mm - The bridge
Across the circle, the lake passes through its center bridge over the lake. At three different locations on the lakeshore are three fishermen, A, B, and C. Which of the fishermen sees the bridge from the largest angle? - Pavol 3
Pavol and Roman trained on a running track of length 400 m. At a certain moment they ran from the start in the same direction and ran at a uniform motion. When Pavol, after completing five laps in time 6 min 40 s, passed the starting point again, he overt - Faucets
A large tank is partially filled with a solution. The tank has a faucet that allows the solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows the solution to leave the tank at a rate of 19 4/5 liters per m - Motorcycle overtaking
A truck that is 6 m long travels at a speed of 66 km/h. A motorcycle traveling at a speed of 20 m/s overtakes him. Overtaking starts 16 m behind the car and ends 18 m in front of the car. How long does this overtaking last, and what track does the motorcy - Brazil flag diamond
The flag of Brazil has a yellow diamond on a green field with a blue circle inside. If we had a flag with dimensions of 70 cm x 50 cm, the rhombus would have a side 35 cm long and a height of 30 cm. Indicate with fractions in basic form what part of the f - Push-up work calculation
Zdenek, weighing 54 kg, made 15 push-ups on the crossbar. The height he reached was about 40 cm. What kind of work did he do? What would have been his performance if the whole exercise had taken him a minute and a half? - Original Price After Discounts
Mobile became cheaper by 30%, twice by 20%, and then by 10%. The resulting price is CZK 11,088. What was the original price? - Three points
Three points, K (-3; 2), L (-1; 4), and M (3, -4), are given. Find out: (a) whether the triangle KLM is right b) calculate the length of the line to the k side c) write the coordinates of the vector LM d) write the directional form of the KM side e) write - Similar Triangles Angle Sum
Triangles ABC and A'B'C'. They are similar. In triangle ABC, the measures of the two angles are 25 degrees and 65 degrees. Explain why, in triangle A'B'C', the sum of the sizes of the two angles is equal to 90 degrees. - Begonia seed sowing
The 94 m² flower bed is to be planted with begonias. An area of 2 dm² is needed for one seedling. How many grams of seeds should be sown if 1 g of seeds contains approximately 5000 seeds? Losses when growing seedlings are usually 30%. - Roof aluminum boards
To cover the pyramidal roof of the house, Mr. Drobný bought aluminum boards at 210 CZK per 1 m². How much CZK crowns did he pay for them if their consumption increased by 10% due to overlapping edges? - Frequency distribution
The following frequency distribution gives the time spent for a fill-up at a gas station. Assume that each value in a class is equal to the midpoint of the class. Estimate the mean fill-up time for the given data. Please round your answer to the nearest h - Weighted-average
Calculate the weighted average cost of the following inventory purchases: Date Quantity; Purchased ; Cost per Unit May 4; 33; $12.25 May 11; 41; $13.87 May 29; 37; $11.99 - Heating 2
The heating element of a stove has an electrical resistance of 80 ohms and is connected to a voltage of 230 V. Calculate the electrical energy consumed in a year (365 days) if it is switched on for 2 hours a day. How much will the energy consumed cost if - Friends' meeting
Friends Jenda and Martin live 13 kilometres apart. Jenda went to Martin by bicycle at an average speed of 18 km/h, and Martin at the same moment set out to meet him on a scooter. Half an hour after setting off, they met. a) Calculate in kilometres per hou - Air thermics
In a cylinder with volume V0 is enclosed air. The temperature of the air is T and the pressure is p0. While maintaining a constant temperature, first the air is compressed by a piston to one sixth of its volume. Then, after very rapid opening and closing
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