Angle - math word problems - page 24 of 64
Number of problems found: 1264
- The central
The central angle of a sector is 30°, and the radius is 15 m. Determine its perimeter. - Inner angles
The magnitude of the internal angle at the central vertex C of the isosceles triangle ABC is 72°. The line p, parallel to the base of this triangle, divides the triangle into a trapezoid and a smaller triangle. How big are the inner angles of the trapezoi - Calculate pyramid
Calculate the volume of the pyramid, whose base edge a = 8 cm and the sidewall makes an angle α = 60° with the square base. - Triangle - sines
The sum of the lengths of the two sides b + c = 12 cm Beta angle = 68 Gamma angle = 42 draw triangle ABC - Constant Angular Acceleration
The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration ε of this motion and the time int - Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence and the smallest angle is 70°. - Is right triangle
Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3dm, b = 40cm, c = 0.5m b) a = 8dm, b = 1.2m, c = 6dm - Triangle angle ratio
In the ABC triangle, the alpha, beta, and gamma angles are in ratio 0.4:0.2:0.9. Calculate their size. - Aluminum resistance temperature
The aluminum line has a resistance of 7.6Ω at -10˚C. What will be its resistance at a temperature of + 50˚C? - Inclination of a hill
A skier starts down a hill of length l and an angle of inclination of 10˚. It then moves to a horizontal section of the track, which travels the same length l until it stops. Determine the coefficient of sliding friction between the skis and the snow. - Trapezoid 25
Trapezoid PART with AR||PT has (angle P=x) and (angle A=2x) . In addition, PA = AR = RT = s. Find the length of the median of Trapezoid PART in terms of s. - Acute triangle
In the acute triangle KLM, V is the intersection of its heights, and X is the heel of height to the side KL. The axis of the angle XVL is parallel to the side LM, and the angle MKL is 70°. What size are the KLM and KML angles? - As shown As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6, then the perimeter of △ BDE
- Construction
Construct the triangle ABC if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60°, and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction) - The staircase
The staircase has a total height of 3.6 m and forms an angle of 26° with the horizontal. Calculate the length of the whole staircase. - Angle sum puzzle
Jaro had 4 angles written in his notebook, the sum of which was a right angle. The little sister rubberized one corner of it. Determine its size if the remaining angles remain written in the notebook: 12°34, 34°56, 56°9. - Line ratio division
Draw the line AB = 14 cm and divide it by the reduction angle in the ratio of 2:9. - Space diagonal angles
Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28cm, b = 45cm, and c = 73cm. Then, find the angle between the body diagonal and the plane of the base ABCD. - Quadrilateral pyramid
The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base - Calculate cone
The rotating cone has a base radius r = 226 mm, and the deviation of the side from the base plane is 56°. Calculate the height of the cone.
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