Examples for secondary school students - page 145 of 237
Number of problems found: 4730
- Geometric Sequence Adding Number
If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence. - Machine depreciation
The company bought a new machine for CZK 350,000. Due to wear and tear, its price will decrease by 10% annually. The machine can be written off if its price drops below 30% due to wear and tear. Determine how many years the company can depreciate the mach - Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm. - Angle between line and plane
Find the angle between the line given parametrically by x = 5 + t y = 1 + 3t z = -2t t ∈ R and the plane given by the equation 2x-y + 3z-4 = 0. - Statistical Data Analysis
For the statistical file: 2.3; 3.4; 1.8; 3.2; 3.2; 1.9; 3.3; 4.5; 4.3; 5.0; 4.8; 4.3; 4.3; 1.9 Determine the sample variance and the median, and from the empirical distribution function, determine P (2.1 - Rectangular Garden Area
Calculate the area of Mr. Vejvoda's rectangular garden rounded to whole hectares if you know that garden fencing, including gates and doors, is 420 m long and its dimensions are in the ratio of 9:5 - Overload
What overload in g (g-force) would have passed the pilot if he accelerated from 0 to 600 km/h in 3 seconds? - A triangle
A triangle has one angle of 63.1°, and the other two are in the ratio of 2:5. What are the measurements of the two angles? - Line Intersection Equations
Determine the intersection of the two lines p and q if. : p: 3y + 2x-5 = 0 q: 4x + 7y-11 = 0 - Four-member team
There are 14 girls and 11 boys in the class. How many ways can a four-member team be chosen so that there are exactly two boys in it? - Parallelogram Sides Length Ratio
The circumference of the parallelogram is 486 cm. The length of one side is 1.7 times the length of the shorter side. How long are the sides of the parallelogram? - Cake ratio
On the tray, they had apricot and plum cakes in a ratio of 3:2. After eating three apricot pies, the chance of taking out a plum and apricot was the same. How many cakes were there together on the tray at the beginning? - Employees
The company employs 1 440 employees (men and women). For over-average results, the premiums were 18.75% for all men and 22.5% for all women. They rewarded 20% of employees with bonuses. How many men and how many women are employed in the company? - Triangle Sides Perimeter
The triangle has a circumference of 35 cm. The first side is four centimeters larger than the second and, at the same time, 1 cm larger than the third side. Determine the sides of the triangle. - Geometric progression In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
- Hypotenuse - RT
A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle? - Camera Blind Spot Length
The camera with a viewing angle of 120 ° was placed horizontally on the observatory at 30 m. What length d of the section at the tower's base can the camera not capture? - A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm? - Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8 cm. Calculate the circumference and the hexagon area. - Alice
Alice spent 5/11 of her money on a backpack. She has 42 dollars left. How much was her backpack?
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