Geometry - math word problems - page 21 of 158
Number of problems found: 3149
- A triangle 6
A triangle has vertices on a coordinate grid at H(-2,7), I(4,7), and J(4,-9). What is the length, in units, of vector HI?
- Rectangle 39
Find the perimeter and area of the rectangular with vertices (-1, 4), (0,4), (0, -1), and (-4, 4)
- Find all
Find all right-angled triangles whose side lengths form an arithmetic sequence.
- Determine 3586
Determine the size of the vectors u = (2,4) and v = (-3,3)
- Square side
Calculate the length of the side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0.
- Four-fifths 7358
The rectangular pool, with bottom dimensions of 12 m and 25m, is 200 cm deep. The first faucet flows 2.4 hl per minute and the second 6 l per 1 second. How long will it take for the pool to be filled to four-fifths of its height?
- Intersection of functions
Draw a graph of the function given by the equation y = -2x +3, find its intersections with the coordinate axes, and complete the unknown coordinates A [3;? ], B [?; 8].
- Polygon - area coordinates
Find the perimeter and the area of the polygon with the given vertices. T (2,7), U (2,9), V (5,9), W (5,7)
- A cell tower
A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal?
- Flowerbed
The flowerbed has a length of 3500mm and a width of 1400mm. How much foil is needed to cover the flowerbed? How many m² of foil was consumed for its production (add 10% of the material to the joint and waste)? How many liters of air is inside the enclosur
- Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
- Direction 7999
A (5; -4) B (1; 3) C (-2; 0) D (6; 2) Calculate the direction vector a) a = AB b) b = BC c) c = CD
- Snow
Snow fell overnight, a layer of thickness 19 cm. I had to clear a path 69 m long and one meter wide in the morning. How many cubic meters of snow did I clear? How many kilos was it? (1 m³ fresh snow weighs 350 kg)
- Calculate 81553
The picture puzzle made of wooden cubes weighs 0.792 kg. One cube has an edge length of 4 cm and a weight of 33 grams. Find out how many cubes make up a puzzle and calculate the wood density in kg/m³.
- Block-shaped 17203
A block-shaped pool with bottom dimensions of 12 m and 20 m and a depth of 2 m is filled with two pipes. The first pipe flows 6 l of water per second, the second 2.4 hl per minute. How many hours and minutes will the pool be filled 40 cm below the edge?
- Coordinates of square vertices
The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square.
- Juice box 2
The box with juice has the shape of a cuboid. Internal dimensions are 15 cm, 20 cm, and 32 cm. Suppose the box stays at the smallest base juice level and reaches 4 cm below the upper base. How much internal volume of the box fills juice? How many cm below
- Approximately 64934
How many kg of paint will we use to paint the walls and ceiling of a room with a length of 9m, a width of 6m, and a height of 3.2m if 1kg of paint is enough for approximately 6m square? Subtract 6 square meters from the surface of the walls, which are the
- Block-shaped 21493
How many sheets need to be closed on the block-shaped container above), which is 4 m wide, 250 cm long, and 35 dm high? How many liters of water can fit in it?
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