Examples for secondary school students - page 214 of 222
Number of problems found: 4435
- Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and an area of 415 cm². Calculate the volume of a cone. - Axial section
The axial section of the cone is an equilateral triangle with an area 208 m². Calculate the volume of the cone. - Rotation
The right triangle with legs 11 cm and 18 cm rotates around the longer leg. Calculate the volume and surface area of the formed cone. - Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 5a +5b = 7c
- Euclid3
Calculate the height and sides of the right triangle if one leg is a = 81 cm and the section of hypotenuse adjacent to the second leg cb = 39 cm. - Euclid2
The ABC right triangle with a right angle at C is side a=29 and height v=17. Calculate the perimeter of the triangle. - Euclid1
The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c? - Hole
We will drill the cylinder shape hole in the cube's center with an edge 14 cm. The volume of the hole must be 27% of the cube. What should drill diameter be chosen? - Pyramid roof
1/3 of the area of the roof-shaped regular tetrahedral pyramid with base edge 10 m and height of 4 m is already covered with roofing. How many square meters still need to be covered?
- Numbers
Determine the number of all positive integers less than 5286382 if each is divisible by 19, 5, 23. What is its sum? - Circles
The areas of the two circles are in the ratio 5:10. The larger circle has a diameter of 14. Calculate the radius of the smaller circle. - Climb
The road has climbing 1:28. How big is the angle that corresponds to this climbing? - Lines
How many points will intersect 27 different lines where no two are parallel? - Pentagon
Calculate the area of a regular pentagon whose diagonal is u=18 long.
- Balance
The rod is 4.3 m long, hanging weights 9 kg and 15 kg on ends. Where is the center of the rod (distance from weight 9 kg) to be in balance? - Gear
Two gears fit into each other and have a transfer of 1:2. The centers of gears are spaced 96 cm. What are the radii of the gears? - Sequence 3
Write the first 6 members of an arithmetic sequence: a5=15, a11=39. - Sequence 2
Write the first 4 members of an arithmetic sequence a8=23, d=2. - Sequence
Write the first 6 members of an arithmetic sequence: a1=-7, d=-5.
The body was thrown vertically upward at speed v0 = 39 m/s. Body height versus time describes equation h = v0 * t - (1)/(2) * 9.8 * t². What is the maximum height of body reach?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
