Equation + length - practice problems - page 8 of 24
Number of problems found: 479
- Environmentally 30731
Peter plans to buy a used seven-seater for a large family. The so-called van or MPV. The first car Renault Espace 2.0 dCi 16V Dynamique 2006, costs 2000 euros + 350 euros registration for Slovak brands, imported from Italy. It is 14 years old and has a co - Used cars
Peter plans to buy a used car: the first car Renault Espace 2.0 dCi 16V Dynamique 2006, costs 2000 euros. It is 14 years old and has a combined diesel consumption of 8 liters. / 100 km. Diesel costs 1.1 euros/liter. How much will the car cost him to opera - Isosceles triangle
In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C. - Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously.
- Kilometers 30021
The first group of tourists left the hut at 8:00 AM at a speed of 4 km/h. The second group of tourists followed them half an hour later, at a speed of 6 km/h. How long and how many kilometers from the cottage will it catch up with the first group? - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4]. - Train delay
Due to a breakdown, the train lost 16 minutes standing on the track behind Brno. He "eliminated" this delay so that after the start, the 80 km long section went at a speed 10 km/h higher than originally planned. What speed was it, and what was it supposed - Perimeter and diagonal
The perimeter of the rectangle is 82 m, and the length of its diagonal is 29 m. Find the dimensions of the rectangle. - Personally 28573
At 9:00 a.m., a truck left town A at an average speed of 50 km/h to town B, 290 km from town A. In 1 hour and 20 minutes, a car drove behind him at an average speed of 75 km/h. At what time and distance from city B will the passenger truck catch?
- Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side? - Traveling 27833
The truck drove at an average speed of 20 km/h and left Prague toward Liberec. At the same time, a bus left with him, traveling at an average speed of 30 km/h, and it arrived in Liberec 2 hours earlier than the truck. What is the distance between Prague a - Rectangular 26641
The area of the work surface of the rectangular table is 70 dm2, and its perimeter is 34 dm. Determine (in dm) the length of the shorter side of this table. - Lookout tower
How high is the lookout tower? If each step was 3 cm lower, 60 more were on the lookout tower. If it were 3 cm higher again, it would be 40 less than it is now. - Two chords
From the point on the circle with a diameter of 8 cm, two identical chords are led, which form an angle of 60°. Calculate the length of these chords.
- The tourist
The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many kilometers did he walk in three days? - Simultaneously 25481
When and where will two trains that run simultaneously from stations A and B at a distance of 60 km meet if the train from station A ran at 70 km / h and the train from station B at 50 km / h? - Approximately 25381
The observer sees the tops of two trees at the same angle a. It is 9 m from one tree and 21 m from the other. The trees stand on a level. How tall is the second tree if the height of the first is 6 m? Remember that the eyes of a standing person are approx - Parallelogram 25371
A parallelogram with a side length of 5 cm and a height to this side length of 4 cm has the same area as an isosceles triangle with a base length of 5 cm. What is the height of this triangle? - Circle and square
An ABCD square with a side length of 100 mm is given. Calculate the circle’s radius that passes through vertices B, C, and the center of the side AD.
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