Physical quantity - math word problems - page 280 of 343
Number of problems found: 6854
- Performance 45861
The electric motor with a power input of 25 kW works with an efficiency of 80 percent. He will do the work in 6 hours. What is the performance, and what part of the work is the loss?
- Area of RT
The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of this triangle.
- Building a wall
If 12 men can build a wall 398 meters long in 48 days, how long would it take 33 men to build a wall 347 meters long? Answer to 3 decimal places.
- Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?
- Similarity
Are two right triangles similar if the first one has an acute angle 60° and the second one has an acute angle 30°?
- Wallpaper - box network
How much dm² of wallpaper is needed to stick a box (without a lid) in the shape of a cube with an edge of 12 dm?
- Four-sided prism
Find the surface area and volume of a four-sided prism high 10cm if its base is a rectangle measuring 6cm and 1.4dm.
- Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm.
- Confidence interval
When checking the use-by date of a specific type of canned meat in warehouses of meat industry products, 340 canned goods were randomly selected, and it was found that 63 of them had passed their warranty period. Establish a 95% confidence interval to est
- Millimeters 30721
On a map with a scale of 1:40000, the distance between two mountain peaks is given by a segment of 16 cm. How far will the same vertices be on a map with a scale of 1:140000? Round the result to millimeters. Solve using the trinomial
- Barrel and buckets
The barrel has a base diameter of 6 dm and a height of 1.2 m. How many 5-liter buckets will we fill it to 3/4 of its height?
- Horizon
The top of a lighthouse is 18 m above the sea. How far away is an object just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.]
- Trunk
Calculate the length of the biggest fishing rod that can be inserted into the trunk of a car with dimensions 152 x 82 × 81 cm.
- Expanding
A problem has spread here - money printing. The ECB claims it aims to maintain a price level with 2% inflation. But for the last three years in a row, annual inflation has been 6%, 7% and 9%.
- Friction coefficient
What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07
- Driver
I drive at an average speed of 70km/h. I drive 10 thousand km. How long did it take me?
- Calculate: 64984
The ABCDEFGH cube (sketch it) has a debt edge of 5 cm. Calculate: a) ABFE wall area b) Area of the ADHE wall c) the surface of the cube d) Cube volume
- Calculate 41431
Calculate the surface of a cube whose edge measures 8 dm.
- Triangular 2715
Determine the volume and surface of a triangular prism with a height of 12.4 cm; the base is a right triangle with 6 cm and 8 cm.
- Calculate 82875
A working load weighing 50 kg is placed on the wheel at a distance of 50 cm from the axis of rotation. Calculate the force required to lift the wheel. Hansel lifts the wheel at a distance of 1.5 meters from the axis of rotation. The weight of the wheel is
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