Themes, topics - math word problems - page 63 of 174
Number of problems found: 3474
- Wood material
Calculate the weight of a block measuring 15 cm, 7.5 cm, and 10 cm made of: a) oak wood (ρ = 800 kg/m³), b) spruce wood (ρ = 550 kg/m³). - Tourist route
Tourists covered 15% of their route on the first day and a fifth of the remainder on the second day. They still had 34 km left to go. How many kilometres did they travel on the second day? - Ring current
A metal ring with a radius of 10 cm is placed in a magnetic field so that the normal to its surface makes an angle of 60° with the induction lines. The induction of the magnetic field varies uniformly and drops from 0.45 T to 0.35 T in 0.50 s. Determine t - MO Z7-II-1 2020
Dragons and cyclops live on a fairy-tale island. All dragons are red, three-headed, and two-legged. All cyclops are brown, one-headed, and two-legged. Cyclops have one eye in the middle of their forehead; dragons have two eyes on each head. The cyclops an - Room plan perimeter
Róbert's children's room has a rectangular floor plan, and the carpet that covers the entire floor has an area of 12 m². One side has a dimension of 2.5 m. The plan of this room is drawn on a scale of 1:100. What is the perimeter of the rectangle represen - Cylindrical magnets
Calculate the magnetic field energy of a cylindrical coil with 400 turns, a length of 0.4 m, and a radius of 20 mm. A current of 3 A passes through the coil. (µo = 4π 10-7 H/m) - Coil self-inductance
Calculate the self-inductance of the coil, which has 1,300 turns, if the inductive current through the coil changes by 6 * 10 ^ -5 Wb by a constant current change of 2 A. - Apple harvest
A father would pick all the apples on his own in 8 days. After he had worked alone for 2 days, his son joined him, and they finished the remaining picking together in 4 more days. How long would it take the son to pick all the apples on his own? - Motor efficiency 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?
- Divide an isosceles triangle
How can an isosceles triangle be divided into two parts with equal areas perpendicular to the axis of symmetry (into a trapezoid and a triangle)? - Turn radius
What is the smallest radius a turn must have for a car to enter safely without exceeding a speed of 50 km/h? The coefficient of shear friction between the tires and the surface is 0.4. - At the beginning 3
At the beginning of motion, a car was going at a speed of 120 km/h and kept this speed for the first 11 seconds. Then it began to accelerate further such that every second it accelerated by 6 km/h until it reached a speed of 150 km/h. Then it began to dec - Calculate: 2
Calculate: 1. Write the given sets as intervals, represent graphically: {x ∈ R; 2< x ≤ 5} = {x ∈ R; 3 ≥ x} = {x ∈ R+; x < 4} = {x ∈ R; x < 4 ∧ x ≥ -1} = 2. List all elements of the following sets, write into set brackets: A = { x Є N; x ≤ 5 } A = B - Triangle side drawing
Draw a right triangle with side a = 5 cm, c = 8 cm. The right angle is at vertex C. What is the size of side b? - Gas pressure
The mean square velocity of the gas molecules is 1200 m/s. What pressure does this gas exert on the vessel wall when its density is 0.03 kg/m³? - Jewelry factory
In a jewelry factory, three assemblers make beaded necklaces. Marcus can make 22 necklaces per hour all day long. Anita can make 25 necklaces for her first three hours of the day and then slow down to 16 necklaces for the rest of the day. Yara can make 27 - Workshops The plant has three workshops. In the first workshop, produce five products/hour. In the second 8 products/hour, and in the third, seven products/hour. In the first workshop, they produced 240 products. In the second 400 and the third 350 products. Find t
- Pyramid stone weight
The largest Egyptian pyramid has the shape of a regular four-sided pyramid with a base edge of approximately 227 meters and a height of about 140 meters. How many tons of stone did the workers transport to build it? One cube of stone weighs 2500 kg and ne - Fireplace power consumption
A current of 20 A passes through the heating spiral of the electric fireplace with a resistance of 10 Ω for 2.5 hours. Determine the power input of the fireplace and the consumed electrical energy - Bulb voltage current
The bulb's resistance at a power input of 40 W is 10 Ω. To what voltage source is it connected? How much current is flowing through it?
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