Examples for secondary school students - page 97 of 231
Number of problems found: 4613
- Horses playground
The horse fence is a rectangular trapezoid with an area of 400 m². The base lengths should be 31 m and 19 m. If the boards are stacked in 5 rows, how many meters of fence will they need? - Transformer oil temperature
The transformer is oil-cooled and transforms a power of 20MW with an efficiency of 92%. Determine the temperature of the oil at the outlet of the transformer if the oil was 20°C when it entered the transformer. 2.5 liters of oil will flow through the tran - Team formation ways
Determine how many ways it is possible to form a four-member team from 6 men and four women, where there are exactly two men. - Grain harvest calculation
The cooperative farmers harvested 300 tons of grain. Wheat was 25% more than oats, and rye was 96 tons less than wheat and oats combined. How many tons of wheat, rye, and oats did the cooperative harvest? - Compute 4
Compute the exact value of the triangle area with sides 14 mi, 12 mi, and 12 mi long. - Submarine pressure calculation
The submarine is at a depth of 50 m below the concave surface of the sea. Find the hydrostatic compressive strength of seawater on a metal cover with an area of 0.6 m². - Tree ratio calculation
There are pears, apples, and cherries in the alley. There are a total of 1,075 trees. Pear is twice as much as apple, and cherry is 30% more than apple. How many trees are there? - Decide 2
Decide whether points A[-2, -5], B[4, 3], and C[16, -1] lie on the same line - Product conforming probability
The probability that a quality product will meet all technical requirements is 0.95. What is the probability that all three randomly produced products will be: a) conforming, b) non-conforming - Arithmetic sequence calculation
Calculate in arithmetic sequence a1, d, s7, if: a1 + a4 + a6 = 71 a5 - a3 - a2 = 2 Hint: Use the substitution method when solving the system. Pay due attention to the "minus" signs in the second equation of the system. - Sum of the seventeen numbers The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones.
- Course children calculation
25% of children did not attend the course because they were ill. Forty-eight children passed the course. How many children were initially supposed to complete the course? - Triangular prism
The base of the perpendicular triangular prism is a rectangular triangle with a hypotenuse of 10 cm and one leg of 8 cm. The prism height is 75% of the perimeter of the base. Calculate the volume and surface of the prism. - Cylinder height radius
Calculate the height of the cylinder when r = 10 mm and S = 800 mm². Calculate the radius / r / of the cylinder when the height is 20 mm and S = 1000 mm². - Pyramid surface calculation
Calculate the surface area of a regular quadrilateral pyramid given: a= 3.2 cm h= 19 cm Method: 1) calculation of the height of the side wall 2) area of the base 3) shell areas 4) the surface of a regular quadrilateral pyramid - Cone surface calculation
The volume of a cone with a radius of 6 cm is 301.44 cm cubic. What is its surface? - Team placement calculation
Peter calculated the number of placement options with four teams, A, B, C, and D, in the first three places. He helped himself with a tree diagram. Complete the solution. - Line plane intersection
What is the sum of all coordinates of points at the intersection of the line p: x = -1-2t, y = 5-4t, z = -3 + 6t, where t is a real number, with the coordinate planes xy and yz? - Block or cuboid
The wall diagonals of the block have sizes of √29cm, √34cm, and √13cm. Calculate the surface and volume of the block. - Chord BC
A circle k has the center at the point S = [0; 0]. Point A = [40; 30] lies on the circle k. How long is the chord BC if the center P of this chord has the coordinates [- 14; 0]?
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