Examples for secondary school students - page 86 of 213
Number of problems found: 4256
- Quadrilateral pyramid
In a regular quadrilateral pyramid, the side edge is e = 7 dm, and the diagonal of the base is 50 cm. Calculate the pyramid shell area. - Triangular pyramid
A regular tetrahedron is a triangular pyramid whose base and walls are identical equilateral triangles. Calculate the height of this body if the edge length is a = 8 cm - Guppies for sale
Paul had a bowl of guppies for sale. Four customers were milling around the store. 1. Rod told paul - I'll take half the guppies in the bowl, plus had a guppy. 2. Heather said - I'll take half of what you have, plus half a guppy. Nancy, the third customer - Wall height
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height w = 20 cm.
- Divide
How many different ways can three people divide seven pears and five apples? - Dependence 15181
The pool has 12 flow holes, and 3 of them are open. It fills up in 24 hours. Express the dependence of the time for the pool to fill on the number of open flow holes and construct a graph. - Sick days
In Canada, there are typically 261 working days per year. There is a 4.9% chance of an employee taking a sick day. What is the probability an employee will use 17 OR MORE sick days in a year? - 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.
- TV competition
In the competition, ten contestants answer five questions, one question per round. Anyone who answers correctly will receive as many points as the number of competitors who answered incorrectly in that round. After the contest, one of the contestants said - Fruits
The shop sells four kinds of fruits. How many ways can we buy three pieces of fruit? - Bouquets
In the flower shop, they sell roses, tulips, and daffodils. How many different bouquets of 5 flowers can we make? - Twelve flowers
A florist has roses, tulips, daffodils, and carnations to use in flower arrangements. If she were to make an arrangement using 12 flowers, how many different combinations of these four types of flowers would be possible? - Newtonmeters
The driver loosened the nut on the car wheel with a wrench that held 20 cm from the axis of the bolt. He acted on the key with a force of 320N. At what moment did he act on the bolt?
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