Line + functions - practice problems - page 10 of 11
Number of problems found: 217
- Distance 3575
The distance between the two cities is 25km. This distance was drawn on the map by a line 5 cm long. What is the scale of the map? - Determined 3570
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points? - Smokovec 3565
On a tourist map with a scale of 1:20 000, the distance between Starý Smokovec and Nový Smokovec is 24 cm. What is the actual distance? - Represents 3509
What is the map's scale if the 2.5 cm long line represents 500 km?
- Distance 3245
A map has a scale of 1:55,000. A line of 10 cm shows the distance between places A and B. How long is the distance in reality? - Intersection 3229
Intersection of graphs of functions y = 5x-2 and y = -3x-6 - Backpacking 2579
Aleš, Karel, and Simon went on a trip at 6:45. They arrived at the finish line at 9:15. They carried one backpack with them and took turns after 20 minutes. Karel carried the first section, and at 8.30 by Simon. a) Who carried the backpack in the second s - Mountain railway
The railway line's height difference between points A and B is 38.5 meters. Their horizontal distance is 3.5 km. Determine the average climb in permille up the track. - MO - triangles
On the AB and AC sides of the ABC triangle lies successive points E and F, and on segment EF lie point D. The EF and BC lines are parallel. It is true this ratio FD:DE = AE:EB = 2:1. The area of the ABC triangle is 27 hectares, and line segments EF, AD, a
- Right triangles
How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget the triangle inequality). - Salat
Grandmother planted salad. In each row, he planted 13 seedlings. After a morning frost, many seedlings died. In the first row, five seedlings died. In the second row, two seedlings died more than 1st row. In the third row, three seedlings died less than 1 - Railway
Between points A and B, whose horizontal distance is 1.5 km, the railway line has an 8 permille climb. Between points, B and C with a horizontal distance of 900 m are climbed 14 permille. Calculate differences in altitudes between points A and C. - Railway
Railway line had on 5.8 km segment climb nine permille. How many meters does the track ascent? - Supermarket cashiers
When only two checkouts are open in a supermarket, people wait in line for an average of 12 minutes. How much will the average waiting time in line be reduced if they open three more ticket offices?
- Scale 3
Miriam's room is 3.2 meters wide. It is drawn by a line segment length of 6.4 cm on the floor plan. On what scale is the plan of the room? - Printing 1649
The printer prints one page in 4 seconds. However, it warms up for 30 seconds before printing. Express how many seconds it will take to print 98 pages. - Pizza master
Master says that he can split pizza into 16 parts by five equals straight cuts. Is it possible? - Obtuse angle
Line OH is the height of the triangle DOM, and line MN is the bisector of angle DMO. the Obtuse angle between the lines MN and OH is four times larger than the angle DMN. What size is the angle DMO? (see attached image) - Square ABCD
Construct a square ABCD with center S [3,2] and the side a = 4 cm. Point A lies on the x-axis. Construct a square image in the displacement given by oriented segment SS'; S` [-1 - 4].
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