Examples for secondary school students - page 154 of 230
Number of problems found: 4583
- Vertices of RT
Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle. - Traffic collision
When investigating a traffic accident, a policeman found that the driver stopped the vehicle immediately after the accident by constantly braking on a 150 m track in 15 seconds. Do you approve that the driver exceeded the village's permitted speed (50 km/ - Compressive 4914
At what depth does a hydrostatic compressive force of 3.2 MN acting on an area of 30 m² arise in mercury? (mercury density is 13,500 kg/m2) - Dividing money
Thomas, Honza and Vasek are to divide 1220kč. Honza got 25% more than Thomas. Vasek is 20% less than Thomas. How many CZK does each get? - Trapezoid 4908
Trapezoid ABCD with bases AB = a, CD = c has height v. The point S is the center of the arm BC. Prove that the area of the ASD triangle is equal to half the area of the ABCD trapezoid. - Distribution 4907
A continuous random variable X is specified: distribution function, specify the parameters a; b so that the function F (x) is continuous and was the distribution function of the random variable X and express f(x). P (X - Angles by cosine law
Calculate the size of the angles of the triangle ABC if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem).
- Four sides of trapezoid
In the trapezoid ABCD is |AB| = 73.6 mm; |BC| = 57 mm; |CD| = 60 mm; |AD| = 58.6 mm. Calculate the size of its interior angles. - Employees 4901 Of the total number of men, 16% received a bonus, of the total. The number of women received 21%. The company has 1,500 employees, and 18% were awarded bonuses. How many women work in the company? How many men received bonuses? How many company employees
- Tree
Between points A and B is 50m. From A, we see a tree at an angle of 18°. From point B, we see the tree at a three times bigger angle. How tall is a tree? - First class
The shipment contains 40 items. 36 are first-grade, and four are defective. How many ways can we select five items so that it is no more than one defective? - Compressive 4894
At what depths does a hydrostatic compressive force of 3 kN act at a depth of 30 m in water? - Hydrostatic force
What is the hydrostatic force applied to an area of 30 cm² in the water at a depth of 20 m? (Water density is 1000 kg/m3) - 30-gon
The radius of the inscribed circle is 15cm at a regular 30-gon. Find the side length a, circle radius R, circumference, and area. - Vertex angle - cone
The rotating cone has a height of 72 cm and an angle at the top of 72°. Determine the volume of a sphere with the same radius as the cone.
- Rectangular 4867
The rectangular matrix contains 12 elements and three rows. How many columns does this matrix have? - Calculate 4865
Calculate the length of the line segment AB, given A [8; -6] and B [4; 2] - Trucks
Three lorries droved bricks. One drove n bricks at once, the second m fewer bricks than the first and the third 300 bricks more than the first lorry. The first lorry went four times a day. The largest went three times a day, and the smallest lorry five ti - House volume
V = 35 m α = 55° β = 15° ----------------- X =? Calculate: V- barrack volume =? S- barrack area =? - Salt
Seawater containing 5% salt. How many kilograms of fresh water is necessary to pour into 40 kg of seawater so that the salinity falls to 2%?
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