Examples for secondary school students - page 201 of 222
Number of problems found: 4435
- Cable car 2
The cable car rises at an angle of 16° and connects the upper and lower station with an altitude difference of 1082 m. How long is the cable car's track? - Tower
The top of the tower is a regular hexagonal pyramid with a base edge 6.1 meters long and a height 11.7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 9% of metal for waste. - House roof
The house's roof is a regular quadrangular pyramid with a base edge 17 m. If the roof pitch is 57° and we calculate 11% of waste, connections, and overlapping of the area roof, how much m² is needed to cover the roof? - Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees.
- Sector
The perimeter of a circular sector with an angle 1.8 rad is 64 cm. Determine the radius of the circle from which the sector comes. - G forces
Calculate car deceleration (as a multiple of gravitational acceleration g = 9.81 m/s²) when a vehicle in a frontal collision slows down uniformly from a speed 111 km/h to 0 km/h in a 1.2 meters trajectory. - 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. - 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.
- 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 - 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. - 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? - Simple interest 4
Find the simple interest if 7134 USD at 4.2% for 188 days. Assume a 360-day year.
- Simple interest 3 Find the simple interest if 11928 USD at 2% for 10 weeks.
- Simple interest 2 Find the simple interest if 16050 USD at 4.9% for 9 months.
- Shooter
The shooter fired at a target from a distance 49 m. The individual concentric circle of targets has radius increments of 1 cm (25 points) by 1 point. The shot was shifted by 16' (angle degree minutes). How many points should he win his shot? - See harmonics
Is it true that the size of the central segment of any trapezoid is the harmonic mean size of its bases? Prove it. The central segment crosses the intersection of the diagonals and is parallel to the bases. - Center of gravity
The mass points are distributed in space as specified by coordinates and weight. Find the center of gravity of the mass points system: A1 [1; -20; 3] m1 = 46 kg A2 [-20; 2; 9] m2 = 81 kg A3 [9; -2; -1
Shot with a mass 39 g flying at 427 m/s penetrates into the wood to a depth 21 cm. What is the average force of resistance of wood?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
