Examples for secondary school students - page 105 of 214
Number of problems found: 4264
- Circular 7894
A 2 cm thick layer of ice formed in the circular water tank. What part of the tank's water (answer in percent) froze if the tank has a diameter of 20 m and a depth of 1.5 m? - Completing square
Solve the quadratic equation: m2=4m+20 using completing the square method - KLM triangle
Find the length of the sides of the triangle KLM if m = 5cm height to m = 4.5 cm and size MKL angle is 70 degrees. - Balloon and bridge
From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at a depth angle of 30° 30 '. Calculate the length of the bridge.
- Company and employees
There are 370 employees in the company - women are 15% less than men. How many men work in the company? - Perimeter 7882
The diagonals of the diamond are 2.4 dm and 1.8 dm long. What is the perimeter of this diamond? - Embankment 7879
An embankment 7.5 m high should be built on the horizontal plane. The width of the upper surface of the embankment is 2.9 m, and the slope is 35 °. What will be the lower width of the embankment? - Difference 7873
Find the first term and the difference of the sequence for which it holds: a1 + a6 = 39; a10 - a4 = 18 - Described 7872
In the KLM isosceles triangle, the KL base is 24 cm long, and the arm measures 15 cm. What is the radius of the circle described by this triangle?
- Average temperature
The average temperature from Monday to Sunday was 40.5°F, and the average temperature from Monday to Saturday was 42.8°F. What was the temperature on Sunday? - Liters 7869
There are a total of 1309 liters of oil in the two tanks. In the second, there are 4.5 times more than in the first. How many liters of oil is in each tank? - The sum AP with rule
Find the sum of all natural numbers between 1 and 100, which are divisible by 2 or 5 - The size
The size of a Trapezium are 3/4*x cm, x cm, 2*(x+1) cm and 3(x+2) cm long respectively. If its perimeter is 60cm, calculate the length of each side. - Different 7860
How many different triplets can be created from 4 pupils if it does not matter the order of the pupils in the triplets?
- Mast shadow
The mast has a 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at an angle of 15°. Determine the height of the mast if the sun above the horizon is at an angle of 33°. Use the law of sines. - Lampshade 7846
Lampshade for the face of a truncated cone with a height of 20 cm. The upper diameter of the shade is 13 cm, the lower 36 cm, and the side forms an angle of 60 degrees with the lower diameter. At least how much fabric is needed to make this shade? - Pyramid-shaped 7820
The pyramid-shaped tent has a square base with a side size of 2.2m and a height of 1.8m. How many square meters of tent canvas are needed to make it if we count an extra five percent for the foundation? - The observatory
The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal need to be covered to cover it, and must we add 15 percent to the minimum amount due to joints and waste? - Quadrilateral 7815
The area of the mantle of a regular quadrilateral pyramid is equal to twice the area of its base. Calculate the pyramid's volume if the base edge's length is 20 dm.
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