Themes, topics - math word problems - page 18 of 167
Number of problems found: 3330
- Dimensions 83226
Calculate the weight of an iron bar 1.2 m long, whose cross-section is a trapezoid with dimensions a=10 cm c=8 cm and the distance between the bases v=6 cm. As we know, 1 cubic meter of iron weighs 7800 kg. - Mechanical 83220
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? - Actually 83215
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? - Liters 83211
We have 160 L of water at 67°C; how many liters of cold water at 18°C are needed to cool it to 39°C? - Families 83209
Coal for 15 families lasts 60 days. How many days will the coal last for 20 families? - Construction 83208
An isosceles triangle ABY has a base AB of length 5 cm and an angle at the primary vertex of 50°. Write down the construction progress. - Kilograms 83204
Nine kilograms of bell metal contain 7 kg of copper, the rest of which is tin. How much copper and how much tin were used to cast five bells? Each of the two larger bells weighed 535kg, and each of the remaining three smaller ones weighed 286kg.
- Weighing 83201
Bronze is an alloy of copper and tin in a ratio of 1:4. How much copper does a bronze piece of jewelry weighing 25 g contain? - Construct 83195
Two line segments of different lengths are given. Construct a circle k so that both line segments are its chords. - Seamstresses 83192
Three sewers sew 7 skirts in 15 hours. How many skirts can 2 seamstresses make in 50 hours? - Isosceles triangle and cosine
Using the cosine theorem, prove that in an isosceles triangle ABC with base AB, c=2a cos α. - Construct 83156
Construct 2 circles so that their centers are 5 cm apart and: and they had no common touch b- they had a common point They had 2 points in common. - 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. - Braking 83146
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? - 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?
- Circumferences 83111
Péta composed several planar shapes from mutually congruent triangles. The circumferences of the first three are 8 cm, 11.4 cm, and 14.7 cm, respectively. Determine the perimeter of the fourth shape. - Equally 83095
John and Joseph carved the garden in 6 days. If an equally fast George joined them, how many days would it take them? - Salt solution
The 50% salt solution must be diluted with distilled water to make 20 liters of 35% solution. How many liters of original solution and how many liters of water do we need? - Absolute 83086
A sound source emits a tone with an absolute pitch of 500 Hz and moves towards the observer at a speed of 5 m/s. Sound travels at a speed of 340 m/s. How fast is an observer moving who hears a tone with an absolute pitch of 522 Hz? - Penetrates 83078
A hammer with a mass of 600 g hits the head of a nail at a speed of 5 m/s. If the nail penetrates 3 cm into the wall, what is the average resistive force of the masonry?
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