Physical quantities - math word problems - page 265 of 298
Number of problems found: 5952
- Ruler and compass
Use a ruler and compass to construct a triangle ABC with AB 5 cm BAC 60° and ACB 45°. - Trapezoid construction
Construct an isosceles trapezoid, whose base is 6 cm long, the base forms an angle of 30 ° with the diagonal, and the arms are 4 cm long. - Cardboard - boxes
The closed cardboard box has the shape of a block measuring 25 cm, 1.2 dm, and 0.5 m. How much cardboard is needed to make 20 such boxes? You need to add 5% to bends. - Phone call probability
One hundred people work in the office. Each of them spends an average of 25 minutes daily on the phone. A working day has 8 hours. What is the probability that ten workers will be on the phone simultaneously in one day? - Center
Calculate the coordinates of the centroid T[x, y] of triangle ABC; A[-19,3] B[-20,25] C[22,10]. - Restaurant waiter guests
The restaurant was fully booked at lunchtime. While only three waiters staffed the restaurant, guests waited an average of 45 minutes for the lunch menu. On average, how many minutes will the guests wait if the three waiters are joined by two more waiters - Tent fabric calculation
The children's tent with a beech wood floor has the shape of a regular four-sided pyramid with a base edge of 1.25 m and a height of 80 cm. How many m² of fabric do we need to finish the tent if we add 12% material to the folds? - Prism + rhomboid
The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm. The edge of the base and the prism height are in a ratio of 2:5. How many liters of water is in the container when it is filled to four-fifths of t - A bus 3
A bus has a petrol tank in the shape of a cylinder. The cylinder is 125 cm long and has a diameter of 42 cm. (i) How much will a full tank of petrol cost at the rate of 5.23 per liter? (ii) If the bus uses petrol at 12.5 liters for every 50 km, how far ca - Block edge change
The block has 10 cm, 20 cm, and 50 cm dimensions. We reduce the first edge of the cuboid by 20% and increase the second by 20%. How does the volume of the cuboid change? By how many percent? - Cornbreads
If four and a half teaspoons of baking powder are needed to make ten servings of cornbread, how many teaspoons are needed to make 25 servings? - Volume of three cuboids
Calculate the total volume of all cuboids whose edge lengths are in the ratio 1:2:3, given that one of the edges is 6 cm long. - Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°. - Carnival hat paper
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head perimeter is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - Hypotenuse - construct problem
A line segment AA1 of length 6 cm is given. Construct all triangles ABC for which AA1 is the hypotenuse, side length BC is 5 cm, and angle gamma is 60°. - Square diagonal construction
There are three different points, C, E, and F, in the plane. Please draw the square ABCD when E and F lie on the diagonals of this square. How many solutions does the task have? - Column water force
A concrete column with a density of 3500 kg/m3, a height of 6 m, and a square base of a=25 cm lies at the bottom of the dam at a depth of 10 m. At the upper end, it is lifted by a rope by a crane. 1) with how much force does the pole stretch th - Paints - one-kilo cans
Mr. Novák is going to paint a shed which is 2.2 m high, 3 m wide, and 4.5 m long. On one side there is a window with dimensions 1*1.2 m. For one coat, 1 kg of paint per m² is used. One-kilogram cans cost 80 Kč, the more cost-effective two-kilogram cans co - Sheet metal troughs
A farmer orders sheet metal troughs from a tinsmith for watering calves on pasture. The tinsmith looks at a drawing of the trough and estimates how much sheet metal will be needed for one trough. Determine the sheet metal consumption, adding 15% for waste - Box wrapping paper
Mother and daughter Susan are wrapping presents for father. Matt has a cube-shaped box with dimensions of 9 cm, 3 cm, and 7 cm, and Susan has a box in the shape of a cube with an edge length of 3 cm. How many square cm of wrapping paper will they use in t
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