Angle - math word problems - page 24 of 64
Number of problems found: 1279
- Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°. - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas - Quadrilaterals
Which of the following statements about angles in quadrilaterals is false? a. In a right-angled trapezoid, exactly one interior angle is obtuse. b. The diagonals of a rhombus are perpendicular to each other. c. The sum of any two interior angles on the sa - Latitude and longitude
A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20, and its longitude is 106.80. The latitude of Hong Kong is 22.27, and its longitude is 114.15. What is the helicopter net change in latitude and longitude as it travels fro - Spherical section cut
Find the volume of a spherical section if the radius of its base is 10 cm and the magnitude of the central angle ω = 120 degrees. - Trapezoid height angle
In the isosceles trapezoid ABCD, its bases AB = 20 cm, CD = 12 cm and arms AD = BC = 8 cm are given. Specify its height and alpha angle at vertex A - Ground level
The ground-level temperature in Helsinki is 20 °C lower than in London. The temperature in a basement flat in Helsinki is 5 °C below the temperature at ground level. If it is -29°c in the basement, what is the temperature in London? - Oscillator deflection
The amplitude of the linear undamped harmonic oscillator is A = 12 cm, and the frequency f = 15 Hz. What is its instantaneous deflection at time a) t1 = 0.02 s, b) t2 = 0.04 s, when it was zero at time t = 0 s? - The central
A circular sector has a central angle of 30° and a radius of 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 = 3 dm, b = 40 cm, c = 0.5 m b) a = 8 dm, b = 1.2 m, c = 6 dm - 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 7.6 Ω 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?
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