Examples for secondary school students - page 203 of 222
Number of problems found: 4435
- Euklid4
The legs of a right triangle have dimensions 241 m and 34 m. Calculate the length of the hypotenuse and the height of this right triangle.
- Population
The town has 159,000 inhabitants. 25 years ago, there were 158,000. If the population's average rate is the same as in previous years, how many people will live in a city in 10 years?
- Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents.
- Log
Calculate the value of expression log |-10 -2i +7i²| .
- Unit vector 2D
Find coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
- Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle.
- Rhombus
The rhombus with area 95 has one diagonal that is longer by 7 than the second one. Calculate the length of the diagonals and rhombus sides.
- Wavelength
Calculate the wavelength of the tone frequency 11 kHz if the sound travels at speeds of 343 m/s.
- Circle chord
Determine the circle's radius in which the chord 6 cm away from the center is 12 cm longer than the circle's radius.
- Skier
At this point, the first skier leads 20 km before the second skier and travels at a constant speed of 19 km/h. The second skier rides at 24 km/h. How long does it take him to catch up with the first?
- Train and car
The train and the car started at a constant speed. When the train travels 87 km, the car travels 97 km. How many km does the train travel when the car travels 87 km?
- Deposit
If you deposit 719 euros at the beginning of each year, how much money do we have at 1.3% (compound) interest after 9 years?
- Trinity
How many different triads can be selected from group 38 students?
- Medals
How many ways can gold, silver, and bronze medals be divided among 21 contestants?
- Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 5 cm and |CAB| = 41°. Calculate area of the trapezoid.
- Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm and the central angle is 40°. Please result round to three decimal places.
- Weekly service
There are 20 pupils in the class. How many opportunities has the teacher randomly selected for two pupils to have a week-class service?
- Icerink
A rectangular rink with 68.7 m and 561 dm dimensions must be covered with a layer of ice 4.2 cm thick. How many liters of water is necessary for ice formation when the ice volume is 9.7% greater than the volume of water?
- Lidl calculator
We don't like to advertise unnamed retail chains. But offers a relatively high-quality scientific/technical calculator, OLYMPIA 8510S with 97 functions(features) is for 3.48 Eur. Calculate how many cents cost one feature of this calculator. We believe tha
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