Examples for secondary school students - page 211 of 223
Number of problems found: 4452
- River
From the observatory 18 m high and 31 m from the riverbank, river width appears in the visual angle φ = 20°. Calculate the width of the river. - Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'? - Sequence
Write the first 7 members of this sequence: a1 = 8 a2 = -9 an+2 = an+1 +4 an - Triangle ABC
Calculate the sides of the triangle ABC with an area of 1995 cm², and if sides are in a ratio a: b: c = 3:6:6
- Null points
Calculate the roots of the equation: -1 |x +7| +1 |x +4| -2 |x -6| = 63 - Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 21 cm from it? - Two cars
Two cars started against each other simultaneously to journey long 230 km. The first car went 48 km/h and the second 56 km/h. What distance will be between these cars 20 minutes before a meeting? - Team
The football team has 11 players. Their average age is 20 years. During the match, one player withdraws due to injury, and the team's average age is 18. How old was the injured player? - Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next to the square, circle, and so on to infinity. Calculate the sum of the area of all these squares.
- Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 20 cm. Calculate: a) the sum of peri - Arc
Convert to arc measures (radians): 919 ° The result write as a multiple of π - Balls
From the urn in which are 18 white balls and 10 red, gradually drag 4-times without replacement. What is the probability that pulls balls are in order: červená červená červená biela? - Rectangle
The rectangle is 21 cm long and 38 cm wide. Find the radius of the circle circumscribing the rectangle. - Triangle in circle
The vertices of the triangle ABC lie on a circle with a radius 3, which is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC.
- Pairs
At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - Chocolates
In the market, we have 3 kinds of chocolates. How many ways can we buy 8 chocolates? - Cube zoom
If we magnify the cube's edge by 47 %, how many percent does this increase the cube's volume and surface? - Components
The 8 white, 4 blue, and 2 red components are in the box. What is the probability that we pull one white, one blue, and one red component without returning it? - Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material.
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n.Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
