Examples for secondary school students - page 218 of 222
Number of problems found: 4435
- Gold wire
From one gram of gold was pulled wire 1.4 km length. What is its diameter if the density of Au is ρ=19.5 g/cm³?
- Word
What is the probability that a random word composed of chars S, G, R, S, E, I, N, A, L, P, C, T, M, H, E, E will be the SPHERICALSEGMENT?
- Exponential equation
In the set R, solve the equation: 7 -5 +19x=4 3 -20x
- Secret number
Find the secret number n, which reversed decreases by 16.4 if the number increases by 16.4.
- Rectangle SS
The perimeter of a rectangle is 154 dm, and its diagonal is 62.36 dm. Find the dimensions of the rectangle.
- Logarithm
Determine the number whose decimal logarithm is -3.8.
- V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
- Seedcake
Seedcake costs 44 cents. How many minimum seedcakes must we buy that we can pay in cash, only whole euros?
- Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm.
- Heron backlaw
Calculate the unknown side in a triangle with sides 24 and 40 and area 299.6.
- Diamond
Find the side of the diamond if its area is S = 490 cm² and one diagonal u2 = 39 cm.
- Trigonometry
If you know that cos(γ) = sin (806°), what is the angle γ?
- Steeple
The church tower is seen from the road at an angle of 52°. When we zoom out to 29 meters away, it can be seen at an angle of 21°. How high is it?
- Quadratic equation
Quadratic equation 7x²+bx+c=0 has roots x1 = 67 and x2 = -84. Calculate the coefficients b and c.
- ABS CN
Calculate the absolute value of the complex number -15-29i.
- Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth
- Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)?
- Flags
How many different flags can be made from green, white, blue, red, orange, yellow, and purple materials, so each flag consists of three different colors?
- Wood in the forest
The amount of wood in the forest was estimated at 6000 m³. How much wood will be in the forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m³ each year?
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