For triangle ABC squared at A (AB <AC), D is the point on the AC edge such that the DBC angle is 45 degrees. Draw DE perpendicular to BC at E. Calculate angular measure BAE?

In the natural numbers range from 10 000 to 100 000 how many numbers satisfy the condition: its digits in left to right order are incremental.

Examples:

- Number 12348 satisfies the above condition because 1 <2 <3 <4 <8;

- Number 22345 is not satisfied because the first digit (2) and the second digit (2) are equal

- Number 12354 is not satisfied because of the sequence of digits 1; 2 ; 3; 5; 4 is not a rising sequence. (5> 4)

Everybody has a lucky year, that year their age is equal to the total number of digits in their birth year. For example, a person born in 1899, the total number in their birth year is 27, so their lucky year is 1926. On the other hand, the lucky year of those born in 1908 is also 1926, when they are 18 years old. Look for the next year after 1926, the same year as the lucky year of those born in two different years.

A person working from 8 hours to 11 hours finished 6 products. Ask the average person how long it takes to finish a product?

A rectangular shaped aquarium tank with dimensions in the tank is 25 cm, 40 cm, 50 cm. Now 1/4 volume of the water tank.
More liters of water to 95% of the water tank