Triangle + expression of a variable from the formula - practice problems - last page
Number of problems found: 817
- Archaeologists 81478
Archaeologists need to find out the size of the vessel if the sherd found was in the shape of a circular section with a length of 12 cm and a height of 3 cm. What is the area of this section? - Inaccessible 69794
Determine the distance between two inaccessible places P, Q, if the distance between two observation points A, B is 2000m and if you know the size of the angles QAB = 52°40''; PBA = 42°01''; PAB = 86°40'' and QBA = 81°15''. The considered locations A, B, - Pavement
Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if the distance of the pavement from the center is 15 m. - The quadrilateral pyramid
The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area.
- The circle arc
Calculate the span of the arc, which is part of a circle with diameter d = 11 m and its height is 5 m. - Quadrilateral 24161
Calculate the volume of a quadrilateral prism whose base is an isosceles trapezoid with bases 10 cm and 4 cm, 6 cm apart. The height of the prism is 25 cm. How could the surface area be calculated? - Meneal's 26771
Show (using Meneal's theorem) that the center of gravity divides the line in a 1:2 ratio. - ABCDEFGHIJKL 8426
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees. - Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and area 415 cm². Calculate the volume of a cone.
- Circular 82418
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius? - A cell tower
A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal? - Parallelogram diagonals
Find the area of a parallelogram if the diagonals u1 = 15 cm, u2 = 12 cm, and the angle formed by them is 30 degrees. - Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x. - Horizontal Cylindrical Segment
How much fuel is in the horizontal cylindrical segment tank with a length of 10m, a width of level 1 meter, and a level is 0.2 meters below the tank's upper side?
- Determine 8010
Determine the cone's base's radius if its shell develops into a circular section with radius "s" = 10 and center angle x = 60 °. r = ?, o =? - Sphere parts, segment
A sphere with a diameter of 20.6 cm, the cut is a circle with a diameter of 16.2 cm. What are the volume of the segment and the surface of the segment? - Calculate 83356
The distance of the chord from the center is 6 cm. The central angle is 60°. Calculate the area of the circular segment.
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