Unit conversion - math word problems - page 12 of 132
Number of problems found: 2638
- Triangle area and angle
Calculate the area of the triangle ABC, in which you know the side c=5 cm, the angle at the vertex A= 70 degrees, and the ratio of the segments cut by the height to the side c is 1:3 . - Triangle height angle
Calculate the lengths of the sides in an isosceles triangle, given the height (to the base) Vc= 8.8 cm and the angle at the base alpha= 38°40`. - Cylinder axial section
The axial section of the cylinder is a square with an area of 56.25 cm². Calculate its surface area and volume. Express the result in square decimeters and cubic decimeters and round to hundredths. - Gram price euros
If 5000 g costs €120, how much will 100 g cost? - Column brick prism
The 4 m high column is a prism with a rhombus figure with an edge 80 cm long and a corresponding height of 70 cm. It is built of bricks. How many bricks are needed to build it if one brick has a volume of 1.4 cubic decimeters? - Airplane mechanical energy
An airplane weighing 100 tons flies at an altitude of 11 km at a speed of 850 km/h. What is its kinetic, potential, and total mechanical energy? - Plot plan scale
The square-shaped plot actually covers an area of 81 ares. Maybe draw it in the village plan on a scale of 1:200. What will be the length of the side on the plan? - Central angle
A circle k with a center at point S and a radius of 6 cm is given. Calculate the size of the central angle subtended by a chord 10 cm long. - Cutting triangle wood
The carpenter cut a right-angled triangle with free sides of 550 mm and 200 mm from the wooden canvas, the face of a rectangle with dimensions of 80 CM and 65 CM. How many square centimeters will the waste make up? - Slow traveler
A little mouse travels 3.6 km in 1 hour. What is its speed in m/s? - Triangle area angle
The area of a right triangle ABC is 346 cm2, and the angle at vertex A is 64°. Calculate the lengths of the overhangs a and b. - Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC. - Motion on circle
The bend has a radius of r = 100 m and is inclined at an angle of 20° to the horizontal plane (= tilt angle). What is the safe (the "best") speed to go through this curve? Sketch the picture regarding NIVS, mark the forces, and calculate. - Car braking force
A car of mass m=1t moves at a speed v0=54 km/h. What braking force must be exerted to bring the car to a stop in 10 seconds, and how far will the car travel in this time? - Republican calendar conversion
In the republican calendar (used in France from 1793 to 1805), one full day was divided into 10 hours; each hour had 100 minutes, and each minute had 100 seconds. What time would the clock show at that time when today's clock reads 15:36? - Dimensions of an aquarium
The large aquarium is shaped like a cuboid and has dimensions in the ratio 5: 7: 4. The sum of the lengths of all edges is 96 dm. How many liters of water will be in the aquarium if it is filled to four-fifths? - Skiing and sledding
Behind the pond, the cat Miki is skiing and Bobo is sledding down a 300-meter-long slope. Careful Bobo can go down the slope in one minute. How many km/h faster does Miki go down the hill than Bobo if he is down 20 seconds earlier? - Katy 7
Katy ordered a cylinder-shaped cake with a volume of 15.7 litres. It consists of two layers. The volume of the upper layer is 4 times smaller than the volume of the lower layer. The height of both layers is the same and equals the radius of the upper laye - Courtyard oak bricks
The castle courtyard, with an area of 100 m², is paved with oak cubes with an edge of 8 cm. Approximately 164 bricks were used to pave m². One dm³ of oak wood weighs 0.8 kg. Calculate the weight of all the bricks used to pave the courtyard. - Airship
An airship is at a height x above the ground. Pavel watches it from point A at an elevation angle of 18°26'. At the same time, Peter sees it from a small plane that is currently flying over Pavel at an altitude of 150 m. Peter sees the airship at an eleva
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