Line - practice problems - page 8 of 29
Number of problems found: 575
- Triangle - BAC angle
The given line is a BC length of 6 cm. Construct a triangle so that the BAC angle is 50° and the height to the side is 5.5 cm. Thank you very much. - Divide line segment
Find the point P on line segment AB, such that |AP| = r |AB|. Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4. - Railway descent permille
Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m. - Z score transformation
The annual salary of an entry-level statistics major (in thousands of dollars) is normally distributed with a mean of 75 and a standard deviation of 12. X ∼ N ( μ = 75, σ = 12 ). What minimum salary should a statistics major aim for to earn amongst the to - A hiker
A hiker plans to hike up one side of a mountain and down the other side of points a mountain, each side of the mountain formed by a straight line. The angle of elevation at the starting point is 42.4 degrees, and the angle of elevation at the end is 48.3 - Parallelogram perimeter construction
Assembly parallelogram ABCD: AB = 4.8cm, va = 3cm, BC = 4cm. Calculate the circuit. Make a sketch. - Steel wire resistance
The steel conductors of the long-distance power line have a cross-section of 5 cm². Calculate the resistance of a steel wire with a length of 2 km if the resistivity of the steel is 13 * 10-8 Ω · m. - Line ratio division
We divided line AB into two parts in a ratio of 3:5. The longer part was 6 cm longer than the shorter part. How long was the whole line in cm? - Line point division
Draw a point x on the line, which divides it in the given ratio: a) 2:3 b) 1:5 c) 6:2 - Trapezoid - construction
Construct a trapezoid ABCD (AB // CD): | AB | = 7cm | BC | = 3.5cm | CD | = 4cm The magnitude of the angle ABC = 60° - Lake map scale
The air distance between the cottages on the same shore of the lake, 2.7 km, is the distance expressed by a line length of 36 mm. Find the scale of the map. - Tile defect probability
The factory produces 35% of the tiles on line A, which produces scrap with a probability of 0.02, and 65% on line B, where the probability of scrap is 0.03. What is the probability that the selected tile will be defective? - Rod ratio division
How do you divide a 3m long rod in a ratio of 1:5? Specify the length of both parts in cm. - Wall tile count
How many square tiles with an edge of 10 cm are needed to line a wall 2.4 m long to a height of 1.6 m? - Steel bar cutting We must cut three steel bars with 24 dm, 3 m, and 160 cm lengths into equal lengths. Find their maximum length and number.
- Ten points
There are ten arbitrary points in the plane. How many circles can we make from them? - Triangle line ratio
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle? - Neziswa
Neziswa is conducting an experiment in which the temperature is measured carefully. The temperature was 76°C at the end of the first minute, and then it fell by 5°C every minute. Determine a formula to calculate the temperature (T) after m minutes. - Line ratio enlargement We will enlarge the line 8 cm long in the ratio of 7:4. How long in centimeters will the new line be?
- Triangle construction sides
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm
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