Line - math word problems - page 21 of 30

Number of problems found: 582

On the map
A line 1.5 cm long corresponds to a line 3 cm long on the map. What is the scale of the map?
Lining a Swimming Pool
Length 25m, width 10m, depth 160 cm. How many square meters are needed to line the pool?
Pool Lining Area Calculation
The pool is 25 m long, 10 m wide and deep 8 meters. How many square meters will be needed to line the walls and bottom of the pool?
Coordinates of the vertices
Calculate the coordinates of the vertices of a triangle if the equations of its sides are 7x-4y-1 = 0 x-2y + 7 = 0 2x + y + 4 = 0
Production Percentage Increase
The new line-producing screws did not work at total capacity from the beginning. On Monday, she produced 20% of the daily norm. On Tuesday, she already met 4/5 of the daily norm. By what percentage was the number of screws made on Tuesday higher than on M
Square Area Parallel Lines
What is the area of a square when the distance between parallel lines is 6?
Three points 2
The three points are A(3, 8), B(6, 2), and C(10, 2). Point D is such that the line DA is perpendicular to AB, and DC is parallel to AB. Calculate the coordinates of D.
Curve and line
The equation of a curve C is y=2x² -8x+9, and the equation of a line L is x+ y=3 (1) Find the x coordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C?
Line segment
The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will the new line segment be long?
Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y.
Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area.
Three Groups Work Shifts
A group of fitters installed the cable line in 9 changes, and the second group completed the same task in 1/3 less time. How many shifts would the third group do the same work if, with all three groups working together, the assembly took 2 shifts?
Number Between Two Values
Which number is also on the number axis from numbers 299 and 1051?
Map Scale Distance Calculation
The air distance from the hotel to the castle is 4.4 km. What is the map's scale on which this distance is shown by a line 4 cm long?
Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).
Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x.
Z7-I-5 MO 2017
Prokop constructed a triangle ABC whose interior angle at vertex A was greater than 60° and whose interior angle at vertex B was less than 60°. Juraj drew, in the half-plane determined by line AB and point C, a point D such that triangle ABD was equilater
Cyclist speed
Two cyclists rode towards each other simultaneously from opposite ends of the 28km long route. Each covered the entire route at a constant speed, the fastest being at the finish line 35 minutes earlier. On the route, the cyclists passed each other after 1
3N on the number axis
The line represents the number axis, and the marked points correspond to the numbers a, - a, and a + 1, but in no particular order. Construct the points that correspond to the numbers 0 and 1. Discuss all the possibilities.
Number line arrangement
Consider the various points corresponding to the numbers a, 2a, 3a + 1 in all possible orders on the straight line representing the number line. For each option, decide whether such an arrangement is possible. If yes, give a specific example; if not, give

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