Grade - math word problems - page 115 of 945
Number of problems found: 18900
- Rhombus - ratio
In a rhombus, the ratio of the side to the height to this side is 4 : 1, if its area is 49 cm². Calculate the size of the side and the height to this side. - Two cubes 3
Two cubes modeled from plasticine have single-digit integer edge lengths with a difference of 1 cm. Can one large cube with an integer edge length be modeled from the same amount of plasticine? - In a right-angled 17
In a right-angled triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of the side e? - Swimming pool 5
There are 5500 men, women, and children at the swimming pool. There are twice as many women as men and four times as many children as women. How many men, women, and children are there at the swimming pool? - Hypotenuse 84015
In a right triangle ABC, the hypotenuse c = 8 cm and the side b = 4 cm. What is the size of angle α? - What is 19
What is the length of the hypotenuse c of a right triangle ABC if the angle α at vertex A is 30° and the hypotenuse a = 3cm? - In a right-angled 15
In a right-angled triangle ABC with hypotenuse c, the length of the side b = 4.5 cm and tan α = 2/3. What is the length of the side a? - Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, the hypotenuse a = 6 cm and sin α = 3/5. What is the length of the hypotenuse b? - Percent 84011
What percent is 70 of 35? - Four-digit - sum
A four-digit number has a digit sum of 20. The sum of its last two digits is equal to the second digit increased by 5. The sum of the outer digits is equal to the second digit decreased by 3. If we write the digits of this number in reverse order, the num - Target - shooting
A shooter hits the target with a probability of 78%. Determine the probability that, in a competition where 3 shots are fired in a row, he misses only the first shot. Round the result to two decimal places. - Family - land
The Vesely family bought a plot of land measuring 30 1/2 m and 26 2/3 m. Before they start building, they want to fence it. How many meters of mesh do they need to buy if they leave 2 7/8 m for the gate? - Probability - target A target is divided into two zones. The probability that the shooter will hit zone 1 of the target is 21%; that he will hit zone 2 of the target is 48%. What is the probability that the shooter will hit the target?
- Mirka 2
Mirka is saving for a bicycle. She already has 336 euros. That is 1/5 more than half the price of a bike. How many euros does a bicycle cost? - Two resistors 5
Two resistors are connected in parallel. The first resistor has a resistance of 2000 ohms and a current of 4 mA flows through it. The second resistor has a resistance of 1600 ohms. 1/Draw a circuit diagram 2/Determine the voltage of the power source. 3/Wh - To the city
A bus leaves for a city 54 km away at an average speed of 15 m/s. 12 minutes after the bus leaves, a motorcycle leaves from the same place to follow it. Calculate the average speed of the motorcycle when it arrives at the destination at the same time as t - Tractor 17
The tractor has an average speed of 2.4 km/h in the first minute of starting, 3.6 km/h in the second and third minutes, and 5.0 km/h in the fourth to sixth minutes. What movement did it make during the first six minutes of driving? Determine the average s - Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25m and sides of 30m. Calculate the maximum number of flowers that can be planted in this bed, assuming that one flower requires about 8 dm² of square area. Round the result to the nearest - Laboratory
In the laboratory, twelve liters of 80% prepared 40% alcohol were diluted to a final 70% alcohol. A five-liter barrel of 40% alcohol was available. How much will remain in the barrel of 40% alcohol? - Suitcase - rod
The trunk of a car has the shape of a cuboid with sides 1.6m x 1.2m x 0.5m (width, depth, height). Determine the longest thin rod that can be placed on the bottom.
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