Grade - math word problems - page 475 of 968

Number of problems found: 19341

On a
Someday, the Sun, Venus, and the Earth will be in eclipse, i.e., Venus will be between the Sun and the Earth. Venus orbits the Sun in 225 days. In how many years will all three bodies be in alignment again?
Electric work
Calculate the work done by the electric forces passing the current of 0.2 A through the bulb in 10 minutes if the bulb is connected to a 230 V power supply.
Two resistors
Two resistors, 20 Ω, and 60 Ω, are connected in series, and an external voltage of 400 V is connected to them. What are the electrical voltages on the respective resistors? Please comment!
Resistor parallel connection
Three resistors with resistances of 200 Ω, 400 Ω, and 600 Ω are connected next to each other (parallel). A current of 1.8 A flows through the first 200 Ω resistor. a) What current passes through the second and what current through the third resistor? b) W
Resistor series connection
Three resistors with resistances of 200 Ω, 400 Ω, and 600 Ω are connected in series (in series)—a current of 1.8 A flows through the first 200 Ω resistor. a) What current passes through the second and what current through the third resistor? b) What are t
Diamond area from diagonals
In the diamond, ABCD is AB = 4 dm, and the diagonal length is 6.4 dm long. What is the area of the diamond?
Lowest voltage
Three resistors with resistors R1 = 10 kΩ, R2 = 20 kΩ, R3 = 30 kΩ are connected in series and an external voltage U = 30 V is connected to them. On which resistor is the lowest voltage?
Flowerbed grass area
How large should we sow an area with grass in a circular flowerbed with a radius of 4 m?
Height of pyramid
The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height?
Kirchhoff's law
Two resistors with 100 Ω and 300 Ω resistors are connected in series. A current of 1.8 A passes through the first 100 Ω resistor. What current flows through the second resistor?
Wheel turn calculation
The wheel has a radius of 31 cm. If we ride 1,168 km, how many times does it turn?
Quadrilateral prism
Calculate the volume and surface of a regular quadrilateral prism with a base edge a = 46 mm and a height v = 0.67 dm.
Simultaneous start 2
A tourist who travels at a speed of 8 km in 2 hours and a cyclist who travels at a speed of 10 km in half an hour set off from two places 24 km apart simultaneously. How long are they on the road before they meet?
Hospital death probability
Statistically, in a city of 100,000 inhabitants, 600 people die in one year. During the year, 2,000 people received hospital treatment, and 120 of them died there. Calculate the probability that a citizen who comes to the hospital for treatment will die t
Marathon training distance
Peter trains for a half marathon every day. He ran 1,000 m on the first day and increased the training length by 250 m daily. On a certain day, Peter ran 21 km in training. That day, he calculated the total distance he had run since the start of training.
Aircraft climbing
The average climb angle of the aircraft is 11° 20', and its average speed is 400 km/h. How long does it take to climb to a height of 3000 m?
The rectangle
The rectangle has a circumference of 32 m. One side is 2 m longer than the other side. Calculate the side lengths of this rectangle.
Quadratic function graph
The quadratic function has the formula y = x²-2x-3. Sketch a graph of this function. Find the intersections with the axes. Find the vertex coordinates.
What time is it?
What time is it when there is four times less time left until midnight than the time that has elapsed since noon? What time is it when one-fifth of the hours that have passed since equal midnight, one-third of the hours that are missing by 12 o'clock?
Gutter pipe material
How much sheet metal do we use to produce a gutter pipe in the shape of a hollow half-cylinder 20 m long and 16 cm wide if we count 8% for bending and welding?

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