Themes, topics - math problems
Number of problems found: 1137
- The Nürburgring
The Nürburgring in Germany is a racetrack that hosts racing events all year. Two of the fastest laps ever driven on the track are 6 minutes 47.30 seconds and 6 minutes 52.01 seconds. How much faster is the 6 minutes 47.30 seconds time than the 6 minutes 5
- A rectangle 8
A rectangle measuring 6 cm and 4 cm is enlarged by the ratio 3:1. What is the area of the enlarged rectangle?
- Change per hour
On Sunday, the temperature was 63 degrees at 2 pm. The temperature was then 72 degrees at 5 pm. What is the rate of change per hour?
- The cyclist
The cyclist reaches a speed of 32 km/h in 3.4 seconds. What is its acceleration in m/s2?
- The temperature 16
The temperature at 6 am was 21 degrees Fahrenheit by noon, and the temperature dropped 32 degrees Fahrenheit. What was the temperature at noon?
Nicolas and his father can repair one desk in 1/3 hour. How many desks can they repair in 3 hours?
- Two waves
Two waves are out of phase by 26°. If the period of the waves is 6 seconds, what is the time difference between the waves? Give your answer in seconds to 2 d. P.
Benhur boiled 1 1/4 liters of water in a kettle. After 10 1/2 minutes he measured the water again. It had 3/4 liters left in the kettle. What is the amount of water that evaporates every minutes?
- The coil 2
The coil of a moving coil voltmeter is 40 mm long and 30 mm wide and has 100 turns on it. The control spring exerts a torque of 240 x 10-6 N-m when the deflection is 100 divisions on full scale. If the flux density of the magnetic field in the air gap is
- Ideal gas law
Assuming compression is according to the law pV = constant. Calculate the initial volume of gas at a pressure of 2 bar which will occupy a volume of 6 cubic meters when it is compressed to a pressure of 42 bar?
- The projectile
The projectile leaves the 10 m long barrel at an instantaneous speed of 500 m/s. What is the acceleration of the movement of the projectile in the barrel and in what time will the projectile pass the barrel if, we assume that the movement was evenly accel
- The car
The car has a consumption of 5 liters per 100 km. It has 24 liters of gasoline in the tank. How much petrol remained in the tank when it rides for two and a half hours at a speed of 80 km/h?
- Wall builders
If 12 men can build a wall 398 metres long in 48 days, how long would it take 33 men to build a wall 347 metres long? Answer to 3 decimal places.
- Central Park
Central Park is a rectangular park in New York City and the map scale is 1 cm: 320 m (It means 1 cm on the map represents 320 m in the real world. ). Find the north-south distance if the length on the map is 2.5 cm.
- Serial resistors
In the circuit shown ( two resistiors R1 and R2 serial connected), the total resistance from A to B is 16 ohms. Find the resistance R2 and the current through the R1 = 12-Ohm resistor, if voltage between A and B is 10 V.
- The isosceles
The isosceles trapezoid ABCD has bases of 18 cm and 12 cm. The angle at apex A is 60°. What is the circumference and content of the trapezoid?
- A giraffe
A giraffe can run up to 46.93 feet per second. How far could a giraffe run in 1.8 seconds?
- Phone number
Ivan's phone number ends with a four-digit number: When we subtract the first from the fourth digit of this four-digit number, we get the same number as when we subtract the second from the third digit. If we write the four-digit number from the back and
- Ice to boiling water
Calculate the heat needed to convert 5kg of ice with a temperature of -5°C to water with a temperature of 100°C. c (water) = 4200 J. Kg-1. kg-1, c (ice) = 2100 J. Kg-1. kg-1. the mass group heat of solidification of water is l = 334kJ/kg. Calculate the he
- The temperature 14
The temperature is 12°C lower than 4 hours ago. a. What is the average temperature change per hour? b. Write an integer equation for the situation.