Examples for secondary school students - page 179 of 230
Number of problems found: 4597
- Emptied 3244
The pond is emptied with a sluice in 45 days. When 2/3 of the pond needs to be drained in 15 days, the second sluice gate will also open for 10 days. How many days would the pond be emptied only by a second sluice? - Enterprise company
30% of all employees in the enterprise are women. Men are 360 more. How many employees are in the company? - Vertically 3237
A 100 g body is ejected vertically upwards from the surface of the Earth at an initial speed of 30 m/s. Determine the height at which the body rises and its potential energy at the path's highest point. - Motel
Three different dinners, A, B, and C, are served in the motel. Three 20 members went to a motel. Group 1 ordered dinner A 20 members, and their average dinner price in the group was CZK 200. From Group 2, they ordered dinner A: 10 persons, B 10 dinners, a - Rhombus OWES
OWES is a rhombus, given that OW is 6cm and one diagonal measures 8cm. Find its area? - Intersection 3229
Intersection of graphs of functions y = 5x-2 and y = -3x-6 - Probability 3219
In recent years, it has rained 12 days in March. What is the probability that it rained on March 18? - Energy
In one region, the September energy consumption levels for single-family homes are normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find the consumption level separating the bottom 45% from the top 55%. - Calculate 3209
Calculate the lengths of the sides of the triangle ABC, in which angles α = 113°, β = 48°, and the radius of the circle of the triangle described is r = 10 cm. - Calculate 3208
Calculate the size of the sides and angles of the triangle ABC if you know vc = 28, α = 51 ° 19 ', β = 67 ° 38'. - Together 3206
Jana, Martina, and Zuzka shared candies in a ratio of 4:5:3. During this division, Martina had 16 sweets less than Jana and Zuzka had together. How many candies did each of the girls have? - Trees
A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall. - 6 terms
Find the first six terms of the sequence. a1 = 7, an = an-1 + 6 - Isosceles trapezoid
In an isosceles trapezoid KLMN, the intersection of the diagonals is marked by the letter S. Calculate the area of the trapezoid if /KS/: /SM/ = 2:1 and a triangle KSN is 14 cm². - Quadrilateral-trapezoid 3172
We cut two triangles from the rectangular plate so that the resulting quadrilateral-trapezoid with the same arm lengths has an area of 32 cm², and one of its bases is twice as long as the other. What is the area of the two triangles that make up the waste - Square pyramid
What is the surface of a regular pyramid with a square base? If each edge of the base measures 40 mm, the pyramid's height is 44 mm, and the pyramid's height is 38 mm. - Dimensions 3159
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle. - Right-angled 3147
In a right-angled triangle ABC, the height of side c has a length of 6 cm. The letter D indicates the heel of the height. Line segment AD is 8 cm long. Calculate the area of triangle ABC. ( example on Monitor 9 ) - Circumscribed 3132
The right triangle has squares in the ratio of 5:12, and the circumscribed circle diameter is 26 cm. Determine its perimeter. - Costume
Denisa is preparing for a goldsmith's costume carnival. During the preparations, she thought she would let her hair wipe instead - she would apply a 5 μm thick layer of gold to each hair. How much gold would Denisa need? Assume that all hundred thousand D
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