Latest problems - page 3
- The mast
The top of the pole we see at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole?
A bookstore purchased from a publisher the biography of a well-known politician for R15 per copy, but sales have been very poor. The manager has decided to mark the copies down to R12 each to make a quick sale. Calculate the loss on each book as a percenta
- Game 27
Susan wanted to play the game. In the beginning, the first says a number from 1 to 8. Then the second player adds a number from 1 to 5 and tells the sum. Again, the Susan adds a number from 1-5 and say sum and etc. . . The winner must say the number 27. Wh
- Three points
Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is value of k?
The tractor plows the first day of 4.5ha, the second day 6.3ha and the third day 5.4ha. It worked whole hours a day, and its hourly performance did not change and was the highest of the possible. How many hectares did it plow in one hour (what is it perfor
- Paper box
Calculate whether 11 dm² of paper is sufficient for gluing a box without a lid with bottom dimensions of 2 dm and 15 cm and 12 cm high. Write result as: 0 = No, 1 = Yes
- Cube surface and volume
Find the surface of the cube with a volume of 27 dm3.
How many pounds make 1 kilograms?
- A koala
A koala lives to be 14 years old in the wild. How much longer will a 2 year old koala probably live?
- Soup from canteen
For how many people is 90 liters of soup enough if we assume 3/8 liter of soup per person in the canteen?
- On line
On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0].
- Center of line segment
Calculate the distance of the point X [1,3] from the center of the line segment x = 2-6t, y = 1-4t ; t is .
- Left handed
It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar where there are 30 participants?
- Inlet and outlet
The pool has a capacity of 50 hl. The inlet pipe flows in 1 minute 1.25 hl, and the waste pipe outlet is draining the full pool in 50 minutes. How long will take the empty the full pool when both the inlet and outlet are opened at the same time?
- Cris had
Cris had 15000 . He spent 1/3 of his money on a table and the remaining on 5 similar chairs that cost the same. How much did one chair cost?
- Two ships
The distance from A to B is 300km. At 7 am started from A to B a ferry with speed higher by 20 km/h than a ship that leaves at 8 o'clock from B to A. Both met at 10h 24min. Determine how far they will meet from A and when they reach the destination.
Grandma bought two 10 pack of eggs. She used 8 eggs on the cake, 2 times less on the omelette and 4 more eggs for breakfast. How many eggs did it stand for?
- The sales
The sales tax rate is 4.447% for the city and 4% for the state. Find the total amount paid for 2 boxes of chocolates at $17.96 each.
- Coordinates of vector
Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
- Each chair
Each chair costs twice less than two tables. One table costs 720 Czech crowns. How many crowns are the table and 4 chairs?