Geometry - math word problems - last page

Number of problems found: 3232

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.
Regular quadrangular pyramid
How many square meters are needed to cover the shape of a regular quadrangular pyramid base edge of 10 meters if the deviation lateral edges from the base plane are 68°? Calculate waste 10%.
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| = 5cm, |AD| = 4cm, and angle |DAB| = 30°.
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:
Cone side
Calculate the volume and area of the cone whose height is 10 cm, and the axial section of the cone has an angle of 30 degrees between height and the cone side.
Parallelogram - area
OPRS parallelogram with OP side 4 cm long, OS side 5 cm long, angle at the top P is 100°. What is its area?
Pyramid - angle
Calculate the regular quadrangular pyramid's surface, the base edge of which is measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees.
Forces
In point, G acts three orthogonal forces: F₁ = 16 N, F₂ = 7 N, and F₃ = 6 N. Determine the resultant of F and the angles between F and forces F₁, F₂, and F₃.
Rotation of the Earth
Calculate the circumferential speed of the Earth's surface at a latitude of 34.5°. Consider a globe with a radius of 6378 km.
Sphere in cone
A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions.
Triangle - sines
The sum of the lengths of the two sides b + c = 12 cm Beta angle = 68 Gamma angle = 42 draw triangle ABC

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