Line - math word problems - page 15 of 30

Number of problems found: 582

Diamond area calculation
The ABCD diamond has a circumference of 72 cm. The longer diagonal of the animal with the line segment AB angle is 30 °. Calculate the area of the ABCD diamond.
My father
My father cut 78 slats on the fence. The shortest of them was 97 cm long, and the longer one was 102 cm long. What was the total length of the slats in cm?
A particle
A particle moves in a straight line so that its velocity (m/s) at time t seconds is given by v(t) = 3t²-4t-4, t > 0. Initially, the particle is 8 meters from a fixed origin's right. After how many seconds is the particle at the origin?
Coordinates hexagon
The regular hexagon ABCDEF is given. Point A has coordinates [1; 3], and point D has coordinates [4; 7]. Calculate the sum of the coordinates of the center of its described circle.
Circle line position
There is a given circle k (S, 4 cm) and a line p. If the distance of point S from line p is less than 4 cm, is the line p called?
Railway line
The straight railway line has a gradient of 16 permille. What is the size of the pitch angle?
Identical line
In which triangles is the line identical with the height?
Map distance calculation
Calculate the actual distance on a map of 2 cities, which is indicated on the map by a line 6 cm long.
Line proportion calculation
On line AB, 15 cm long, point C lies 4 cm from point A. In what proportion does this point divide the line AB?
Line part comparison
The line AB, whose length is 24 cm, is divided in a ratio of 5:3. How much longer is its larger part?
Line length change
The given line is MN with a length of 11 cm. Change its length in the ratio: a) k = 2:1 b) k = 1:2 c) k = 17:11 d) k = 22:33
Line division calculation
The KL line is 12 cm long. Point X divides the line in a ratio of 1:5. What is the length of line XL if point X is closer to point K?
Checkout waiting time
When only three checkouts are open in a supermarket, people wait in line for an average of 10 minutes. How many minutes will the average waiting time in line be if two more checkouts open?
Outside tangents
Calculate the length of the line segment S₁S₂ if the circles k₁ (S₁, 8cm) and k2 (S₂,4cm) touch the outside.
Decide 2
Decide whether points A[-2, -5], B[4, 3], and C[16, -1] lie on the same line
Line plane intersection
What is the sum of all coordinates of points at the intersection of the line p: x = -1-2t, y = 5-4t, z = -3 + 6t, where t is a real number, with the coordinate planes xy and yz?
Chord BC
A circle k has the center at the point S = [0; 0]. Point A = [40; 30] lies on the circle k. How long is the chord BC if the center P of this chord has the coordinates [- 14; 0]?
Coordinates of a centroind
Let A = [3, 2, 0], B = [1, -2, 4], and C = [1, 1, 1] be 3 points in space. Calculate the coordinates of the centroid of △ABC (the intersection of the medians).
Perpendicular line
According to the map, the scouts were supposed to proceed through the forest perpendicular to its straight edge, where the goal was 3 km away from the starting point. They already deviated from the correct direction by 5° at the start. How far from the ta
Power line pole
From point A, the power pole is visible at an angle of 18 degrees. From place B, which we reach if we go from place A 30m towards the pillar at an angle of 10 degrees. Find the height of the power pole.

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