Grade - math word problems - page 865 of 915
Number of problems found: 18286
- Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in ratio 6:5. Calculate the height and radius of the cylinder base.
- Prism
The prism's base is a rhombus with a side 17 cm and a height 5 cm long. The height of the prism is 88% longer than the side length of the rhombus. Calculate the volume of the prism.
- Abyss
The stone fell into the abyss: 11 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 336 m/s)
- Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm.
- The store
The store received the same number of cans of peas and corn. On the first day, we sold 10 cans of peas and 166 cans of corn, leaving 5 times more peas than corn cans. How many cans of each kind were in the store?
- Slope of the pool
Calculate the slope (ratio rise:run) of the bottom of the swimming pool long 40 m. The water depth at the beginning of the pool is 1.09 m (for children), and the depth at the end is 1.88 m (for swimmers). Calculated slope write it as a percentage and also
- Three workers
Three workers, A, B, and C, must work on a specific task. Workers A and B completed the task in 22 days, B with C for 10 days, and A with C for 19 days. How long would it take to complete the task for everyone alone? How long would it take to complete the
- Blueberries
Marie earns 3 liters of blueberries for 3.4 hours, and Peter 2.4 liters for 2.9 hours. How long do they pick one liter together?
- Arc
The length of the circle is 18, and the arc length of the circle is 1. What is the magnitude of the angle of this arc?
- Two runners
Two runners ran simultaneously towards each other from locations distant 23.1 km. The average speed of the first runner was 1/7 higher than the average speed of the second runner. How long should each run a 23.1 km, if you know they meet after 58 minutes?
- Equation
Equation -2x²+bx -82 =0 has one root x1 = -8. Determine the coefficient b and the second root x2.
- Machines
There are three machines in the workshop. The first treats 250 parts for 4.7 hours, the second treats 300 parts for 1.9 hours, and the third treats 230 parts for 4.6 hours. How long will it take to make 3100 parts if all three machines are worked simultan
- Rectangles - sides
One side of the rectangle is 10 cm longer than a second. Shortening the longer side by 6 cm and extending the shorter by 14 cm increases the rectangle area by 130 cm². What are the dimensions of the original rectangle?
- Two valves
Water fills the pool with two valves for 11 days. After 7 days, the workers stopped the first and second valve fill pool for 7 days. How many days did it take to fill the pool of each of the valves individually?
- Posters
A column with posters in the form of a cylinder is 2 m high, and its diameter is 1.7 m. What is the area in which it is possible to stick posters?
- RT 10
The area of the right triangle is 84 cm², and one of its catheti is a=10 cm. Calculate the perimeter of the triangle ABC.
- Scale
The student drew the cylinder in scale 7:1. How many times is the volume of the cylinder smaller in reality?
- Fractions
Sort fractions z1 = (20)/(9); z2 = (10)/(21); z3 = (15)/(14) by their size. The result writes as three serial numbers 1,2,3.
- Bureaucracy
23 people attended the office. 9 of them completed the questionnaire. What is the percentage of all people?
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