Themes, topics - math word problems - page 76 of 174
Number of problems found: 3474
- As shown
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6, then the perimeter of △ BDE - Vertex points
Suppose the following points of a triangle: P(-12,6), Q(4,0), R(-8,-6). Graph the triangle. Find the triangle area. - Construction
Construct the triangle ABC if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60°, and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction) - Collision of bodies
From point A at a height of 2 m and from point B at a height of 6 m, two bodies are thrown at the same time towards each other. The first from point A with a horizontal speed of 8 m/s, and the second from the direction down at an angle of 45 degrees to th - Parallelogram drawing exercise
Draw an ABCD brassier if a = 4.8 cm b = 3.5 cm and va = 2.9 cm - Deceleration of car
The car has a speed of 60 km/h and, after a 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down? - Nautical miles
How many nautical miles do they sail if the route is shown on a 1:25 000 scale map with a 7.4 cm long line? - Cyclist meeting
From Děčín and Ústí nad Labem, which are 24 km apart, two cyclists rode against each other at the same time. One drove at an average speed of 28 km/h, and the other, which left Ústí, drove at a speed of 20 km/h. How long did the cyclists meet, and at what - Cube volume comparison
We have two cubes of the same weight. One is all made of glass, the other of cork. Which one has more volume, and how many times? - Line ratio division
Draw the line AB = 14 cm and divide it by the reduction angle in the ratio of 2:9. - Harmonic oscillator
Calculate the total energy of a body performing a harmonic oscillating motion if its mass is 200 g, the deflection amplitude is 2 cm, and the frequency is 5 Hz. Please round the result to 3 decimal places. - Circle center construction
There is any circle k that does not have a marked center. Use a suitable construction to find the center of the circle k. Try on two different circles. - Nautical mile calculation
Hansel will go on vacation with his parents and go by boat for a certain part of the journey. He is interested in how many nautical miles they will sail if their route represents by a line 7.4 cm long on a 1:25,000 scale map. (1 nautical mile = 1,850 m) - Two xeroxes
The performances of the two copiers are in the ratio of 3:4. A machine with higher power will make 7,200 copies in one hour. How many copies will both machines make together in 5 hours? - Hydrostatics
A) Calculate the hydrostatic pressure at the bottom of the Mariana Trench. The density of seawater is 1,030 kg/m³. What depth do you need to look up in an atlas or on the Internet? B) Calculate the pressure force acting on a submarine with a surface area - Ice volume calculation
What is the volume of 320 kg of ice floes in liters? - Concrete column
A concrete column for a motorway bridge is a cuboid with dimensions 1 m × 0.8 m × 25 m. A crane must lift it to a height of 20 m. What is the minimum power of the crane's engine if the lift takes 2 minutes? - Bus average speed
A bus from Bratislava to Nitra runs for 1 hour and 30 minutes, covering 105 km. What is its average speed? - Convex lens
The convex lens consists of two spherical segments (dimensions given in mm). Calculate its weight if the density of the glass is 2.5 g/cm³. Dimensions: 60 mm in length and width of the upper part 5 mm, the width of the lower part 8 mm - Cycling distance Daddy cycles the distance. 15 km in three-quarters of an hour. What distance will he travel in an hour? How long will it take for the son to cover this distance, which travels at an average speed of 15 km per hour?
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