Examples for secondary school students - page 205 of 230
Number of problems found: 4597
- Training
The table contains the tennis training schedule for Saturday's younger students during the winter indoor season. Before the start of the summer season, preparing a new training schedule, Tomas Kucera will be able to practice only in the morning. Sisters K - Hot air balloon
A hot air balloon ascends 25 meters for a minute after launch. Every minute, it ascends 75 percent of the height it climbed in the previous minute. a) How many meters will ascend six minutes after takeoff? b) What is the overall height of the 10 minutes a - Snowman
In a circle with a diameter of 40 cm are drawn three circles (as a snowman) where: its diameters are integers, each larger circle diameter is 2 cm larger than the diameter of the previous circle. Determine the snowman height if we wish for the highest sno - Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ... - Diagonals in the diamond
The length of one diagonal in a diamond is 19 cm greater than the length of the second diagonal, and the diamond area is 32 m². Determine the sizes of the diagonals. - Sequence
Find the common ratio of the sequence -1, 3, -9, 27, -81. Please ratio writes as a decimal number rounded to a tenth. - Catheti
The hypotenuse of a right triangle is 35, and the sum of legs is 49. Calculate the length of its legs. - Reservoir + water
The reservoir filled with water weighs 29 kg, and after pouring off, three-quarters of the water weighs 9 kg. Calculate the weight and volume of the reservoir. - Sugar - cuboid
Pablo received from his master a cuboid composed of identical sugar cubes, each weighing between 1000 and 2000. The Pejko eat sugar cubes in layers. On the first day, eat one layer from the front. On the second day, one layer is from the right, and on the - Password
The voltage station is day changing the master password, which consists of three letters. The code generation process does not change and is based on the following procedure: The following letters (A) to (I) correspond to different numbers from 1 to 9 if - Euclidean distance
Calculate the Euclidean distance between shops A, B, and C, where: A 45 0.05 B 60 0.05 C 52 0.09 The first figure is the weight in grams of bread, and the second figure is the USD price. - Automaker
The automaker now produces daily 4 new cars more than last year, so the production of 360 cars will save just one full working day. How many working days to produce 360 vehicles were needed in the previous year? - Crystal water
The chemist wanted to check the water content of the crystallization of chromic potassium alum K2SO4 * Cr2 (SO4) 3 * 24 H2O, which took a long time in the laboratory. From 96.8 g of K2SO - Decimal to fraction
Write the decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures. - Hairs
Suppose the length of the hair is affected by only the α-keratin synthesis, which is the major component. This synthesis takes place in the epithelial cells of the hair bulb. The structure of α-keratin is made up of α-helix for the 3.6 amino acid residues - Sails
We know the heights of sail, 220, 165, and 132. It has a triangular shape. What is the surface of the sail? - Znojmo
From Znojmo to Brno, the truck with a trailer started at an average speed of 52 km per hour. Against him, 11 minutes later from Brno started the car with an average speed of 1.7-times greater than the truck. How long and how far from Znojmo do they meet i - Park
Rotating sprayer irrigation lawns will permanently surround the newly built park. Find the largest radius of the circle that can be irrigated by sprayer P, not to spray park visitors online AB. Distance AB = 55 m, AP = 36 m and BP = 28 m. - Vector - basic operations
There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate the difference of vectors u-v d. Determine the coordinates of the vecto - Divisors
The sum of all divisors unknown odd number is 496. Determine the sum of all divisors of a number that is twice unknown numbers.
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