Equation + length - practice problems - page 10 of 24
Number of problems found: 476
- Cleared 16683
The scouts decided to clean up the stream outside the town. On the first day, they cleared half of the total length of the stream. On the second day, 2/7 of the entire length. On the third day, they cleared a third of what was left, and on the fourth day, - Hiking trail
The newly built hiking trail leads 25% through the field, 3/8 of the trail leads through the forest and the remaining 9 km along the river. How long is the train? - Equilibrium 15833
Two boys of masses 40 kg and 50 kg want to make a swing out of a log 3.6 m long. How far from either end must he support it, so they are in equilibrium? How can this be calculated with a single equation? And calculate the rest. - Pedestrian 15741
Cities A and B are 42 km apart. A pedestrian exits city A at a speed of 6 km/h in the opposite direction to city B. 30 minutes later, and a cyclist exits B following the pedestrian at a speed of 24 km/h. How many hours does the cyclist reach the pedestria
- Suppose
Suppose you know that the length of a line segment is 15, x2=6, y2=14, and x1= -3. Find the possible value of y1. Is there more than one possible answer? Why or why not? - Same force
The trunk of 5m in length and 95 kilograms has a center of gravity of 2m from the thicker end. The tribe is carried by two men, one at the thicker end. At what distance does the trunk carry a man from the other end to make the same force on it? - Rotaty motion
What minimum speed and frequency do we need to rotate with the water can in a vertical plane along a circle with a radius of 70 cm to prevent water from spilling? - Parametric form
Calculate the distance of point A [2,1] from the line p: X = -1 + 3 t Y = 5-4 t Line p has a parametric form of the line equation. - The tourist
The tourist has walked 3/4 of the route. The destination is 12.5 km away. How many kilometers did the route measure?
- Cheetah vs antelope
When the cheetah began chasing the antelope, the distance between them was 120 meters. Although the antelope was running at 72km/h, the cheetah caught up with it in 12 seconds. What speed was the cheetah running? - Rectangular garden
The perimeter of Peter's rectangular garden is 98 meters. The width of the garden is 60% shorter than its length. Find the dimensions of the rectangular garden in meters. Find the garden area in square meters. - Motorcycle 12381
The motorcycle left Děčín at an average speed of 40 km/h. At the same time, a passenger car from Prague drove towards him at an average speed of 80 km/h. The distance from Prague to Děčín is about 100 km. How long and at what distance from Děčín will both - Rectangle field
The field has a shape of a rectangle, having a length of 119 m and a width of 19 m. , How many meters have to shorten its length and increase its width to maintain its area and circumference increased by 24 m? - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle.
- Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary? - A rectangle 2
A rectangle has a diagonal length of 74cm. Its side lengths are in a ratio of 5:3. Find its side lengths. - Agricultural 11691
The tractor leaves the field and heads towards an agricultural cooperative 14 km away at an average speed of 20 km/h. Twenty minutes later, an agronomist followed him from the same field on a motorcycle at an average speed of 45 km/h. Will he catch up wit - The escalator
I run up the escalator at a constant speed in the stairs' direction and write down the number of steps A we climbed. Then we turned around, ran it at the same constant speed in the opposite direction, and wrote down the number of steps B that I climbed. I - Medians in right triangle
It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides?
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