Examples for secondary school students - page 198 of 223
Number of problems found: 4443
- 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 53 km per hour. Against him, 14 minutes later from Brno started the car with an average speed of 1.2-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 2112. Determine the sum of all divisors of a number that is twice unknown numbers.
- De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers.
- BW-BS balls
Adam has a full box of large or small balls, black or white. The ratio between large and small balls is 5:3. Within the large balls, the ratio of black to white is 1:2, and between small balls, the ratio of black to white is 1:8. What is the ratio of all-
- Variations 4/2
Determine the number of items when the count of variations of the fourth class without repeating is 600 times larger than the count of variations of the second class without repetition.
- Variations
Find the number of items when the count of variations of the fourth class without repeating is 42 times larger than the count of variations of the third class without repetition.
- KLMN
In the KLMN trapezoid is given this information: 1. segments KL and MN are parallel 2. segments KL and KM have the same length 3. segments KN, NM, and ML have the same length. Determine the size of the angle KMN.
- Alloy
The first alloy is a mixture of two metals in the ratio 1:2; the second is a mixture of the same metals in the ratio 2:3. At what ratio do we have these two alloys put into the furnace to obtain a new metal alloy with a ratio of 17:27? (All three ratios c
- Tiles
From how many tiles, 20 cm by 30 cm, we can build a square of maximum dimensions if we have a maximum of 275 tiles.
- Segments
We divide line segments 59 cm and 5.3 dm long into equal parts, the lengths of which are expressed as integers in centimeters. How many ways can we divide?
- RT 11
Calculate the area of the right triangle if its perimeter is p = 45 m and one cathetus is 20 m long.
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