Examples for secondary school students - page 72 of 212
Number of problems found: 4231
- Line segment
For the line segment whose endpoints are L[-1, 13] and M[18, 2], find the x and y value for the point located 4 over 7, the distance from L to M. - Chord - TS v2
The radius of circle k measures 72 cm. Chord GH = 11 cm. What is TS? - EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=77 cm. - Sector
The perimeter of a circular sector with an angle 1.8 rad is 64 cm. Determine the radius of the circle from which the sector comes. - Angles in a triangle
The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=83°. What sizes have other angles in a triangle? - N-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm? - Kids
How many different ways can sit 8 boys and 3 girls in line if girls want to sit on the edge? - Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm. - Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16. - Cone
If the segment of the line y = -3x +4 that lies in the first quadrant is rotated about the y-axis, a cone is formed. What is the volume of the cone? - Circles
The areas of the two circles are in the ratio 2:20. The larger circle has a diameter 20. Calculate the radius of the smaller circle. - Heron backlaw
Calculate the missing side in a triangle with sides 25 and 13 and area 152. - Confectionery
The village markets have 5 kinds of sweets. One weighs 31 grams. How many different ways can a customer buy 1.519 kg sweets? - Jewel
Rhombus-shaped jewel has an area of 93 mm², and the edge is long 13.2 mm. Calculate the size of the acute rhombus angle. - Circle chord
What is the length x of the chord circle of diameter 115 m if the distance from the center circle is 11 m? - Calculate 83160
Calculate the distance of point A[ 4; 2; -3 ] from the plane : 2x - 2y + z + 5 = 0 - Semicircle 82687
If the shell of a cone is a semicircle, then the diameter of the cone's base is equal to its side's length. Prove it. - Individual 82186
The average height of a member of a family of five is 1.5m, the mode of their height is 1.2m and the median is 1.6m. Find out the heights of individual members of this family if you know that they are integers in dm. - Interest 81982
The bank offers interest on the deposit of 4 percent per annum. In how many years will the deposit double? - Arithmetic 80808
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. The content is 6cm².
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