Geometry - math word problems - page 164 of 165
Number of problems found: 3287
- Inclined plane
The body stays on an inclined plane and exerts a compressive force of 70 N on it. Find the angle between the inclined plane and the horizontal if a gravitational force of 100 N acts on the body. - Box
Calculate the angle between the base of a cuboid with dimensions 5 × 10 and its space diagonal of length 13. - Resultant force
Calculate mathematically and graphically the resultant of three forces with a common center if: F1 = 50 kN α1 = 30° F2 = 40 kN α2 = 45° F3 = 40 kN α3 = 25° - House volume
V = 35 m α = 55° β = 15° ----------------- X =? Calculate: V- barrack volume =? S- barrack area =? - Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees. - Felix
Calculate how much land Felix Baumgartner saw after jumping from 36 km above the ground. The radius of the Earth is R = 6378 km. - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle - Coordinates of square vertices
I have coordinates of square vertices A / -3; 1/and B/1; 4 /. Find coordinates of vertices C and D, C and D. Thanks, Peter. - Cone slope
Determine the volume and surface area of a cone whose slope of length 8 cm makes an angle of 75 degrees with the plane of the base. - Vector components
The force R = 12 N is divided into two components, F1 and F2. Their directions make angles α = 30°, β = 45° with the direction R. What are the components F1 and F2? - Big Earth
What percentage of the Earth's surface is seen by an astronaut from a height of h = 350 km? Take the Earth as a sphere with a radius R = 6370 km. - Tropical, mild and arctic
How many percent of the Earth's surface lies in the tropical, mild, and arctic ranges? The border between the ranges is the parallel 23°27' and 66°33'. - Cylinder horizontally
The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the cylinder's axis. How many hectoliters of water is in the cylinder? - Pilot
How high can the airplane's pilot see 0.001 of Earth's surface? - Regular quadrangular pyramid
How many square meters are needed to cover a regular quadrilateral pyramid base edge of 10 meters if the deviation lateral edges from the base plane are 68°? Calculate waste 10%. - Inclined plane
On the inclined plane with an inclination angle of 30°, we will put the body (fixed point) with mass 9 kg. Determine the acceleration of the body motion on an inclined plane. - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - Square equal rhombus
Construct a square that has the same area as a rhombus ABCD if |AB| = 5 cm, |AD| = 4 cm, and angle |DAB| = 30°. - Cone side
Calculate the volume and lateral surface area of a cone with a height of 10 cm, given that the axial cross-section has an angle of 30° between the height and the slant side. - Right-angled trapezoid
A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is:
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