Expression of a variable from the formula - high school - practice problems - page 19 of 44
Number of problems found: 874
- Skid friction
Find the smallest coefficient of skid friction between the car tires and the road so that the car can drive at a 200 m radius at 108 km/h and does not skid. - The ball
The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - The bridge
A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force pushes the car onto the bridge as it passes through the center? What maximum speed can it cross over the center of the bridge, so it does not fly - Same force
The trunk of 5m in length and 95 kilograms has a center of gravity of 2m from the thicker end. The tribe is carried by two men, one at the thicker end. At what distance does the trunk carry a man from the other end to make the same force on it?
- Angled cyclist turn
The cyclist passes through a curve with a radius of 20 m at 25 km/h. How much angle does it have to bend from the vertical inward to the turn? - Rotaty motion
What minimum speed and frequency do we need to rotate with the water can in a vertical plane along a circle with a radius of 70 cm to prevent water from spilling? - Quadrilateral 15023
The regular quadrilateral pyramid has a base circumference of 44 cm and a body height of 3.2 cm. Calculate its volume and surface. - Conical bottle
When a conical bottle rests on its flat base, the water in the bottle is 8 cm from its vertex. When the same conical bottle is turned upside down, the water level is 2 cm from its base. What is the height of the bottle? - Diagonal intersect
Isosceles trapezoid ABCD with length bases | AB | = 6 cm, CD | = 4 cm is divided into four triangles by the diagonals intersecting at point S. How much of the area of the trapezoid are ABS and CDS triangles?
- Axial section of the cone
The axial section of the cone is an isosceles triangle in which the ratio of cone diameter to cone side is 2:3. Calculate its volume if you know its area is 314 cm square. - Cone side
Calculate the volume and area of the cone whose height is 10 cm, and the axial section of the cone has an angle of 30 degrees between height and the cone side. - Pool
How many hl of water is in a cuboid pool (a = 25m, b = 8m) if the area of the wetted walls is 279.2 m²? - Octagonal pyramid
Find the volume of a regular octagonal pyramid with height v = 100 and the angle of the side edge with the base plane is α = 60°. - Tetrahedral pyramid
Determine the surface of a regular tetrahedral pyramid when its volume is V = 120 and the angle of the sidewall with the base plane is α = 42° 30'.
- Uboid volume
Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm² - Quadrilateral 13881
Please calculate the volume of a quadrilateral pyramid when a = 5cm and the wall height is w = 12cm. - Hexagonal pyramid
Please calculate the height of a regular hexagonal pyramid with a base edge of 5cm and a wall height of w = 20cm. Please sketch a picture. - Pilsen Region
Between 2000 and 2001, 14 per mille of the population decreased in the Pilsen Region. In 2000, the Pilsen Region had 551281 inhabitants. If the declining trend continues the same (i.e., 14 per mille of inhabitants per year), how many inhabitants will the - Two-digit number
The digit sum of thinking two-digit natural numbers is 11. When it exchanges a sequence of digits, given a number that is 27 less than the thinking number, find out which number I think.
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Expression of a variable from the formula - math word problems. Examples for secondary school students.