Geometry - math word problems - page 19 of 162
Number of problems found: 3232
- Milimeters
The pool is 6 meters long and 3 meters wide, and the water in it is filled with water to a height of 1.7 m. When John jumped into it and completely submerged, the level had risen by 5.4 mm. How much weight does John have when we know that one liter of the
- Given is
Given is the circle x²+y²-4x+2y-11=0. Calculate the area of the regular hexagon inscribed in the given circle.
- Calculate 83160
Calculate the distance of point A[ 4; 2; -3 ] from the plane : 2x - 2y + z + 5 = 0
- Calculate 66814
Calculate the area and perimeter of the right triangle ABC if A [5.5; -2.5] B [-3; 5] C [-3; -2.5]
- Calculate 449
Calculate the size of the angle formed by 2 lines on the dial and formed by connecting the points 7.2 and 1.4.
- Castle model
The castle model has a cone-shaped roof. The cone side is 45 cm long, and the base radius is 27 cm. a) What is the roof volume? b) How much dm² of wallpaper is used to glue the roof, i.e., the cone shell? c) What is the roof's weight if it is made of wood
- A circle
A circle relation is given to be x² + y² =16. What is the radius of the circle?
- Block-shaped 42481
A block-shaped pool that is 25 m long, 12 m wide, and 180 cm deep is to be filled with draft so that the water level is 20 cm below the edge. How long will it take to fill the pool if we use 2 pumps, each with a "power" of 125 l/min?
- Calculate 71744
The triangle that connects on the dial: a) 2,7,9 b) 3,6,10 Calculate the size of the interior angles.
- Right triangle - leg
Calculate the nearest tenth cm leg length in the right-angled triangle with hypotenuse length 9 cm and 7 cm long leg.
- Experienced 2703
The customer wants to buy 300 meters of wire with d = 4mm. An experienced salesman knows that 100 meters of wire are about 10 kilograms, so he weighs 30 kilograms of wire. Find out how many meters of wire are in a bundle of wire weighing 30 kilograms (or
- Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4].
- Sprinkler - irrigated area
A sprinkler is located in the park at a distance of 3m from the sidewalk. Water blasted up to a distance of max. 5m. What is the maximum length of the sidewalk it will cover?
- Find all
Find all right-angled triangles whose side lengths form an arithmetic sequence.
- 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?
- 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
- Calculate 6
Calculate the distance of point A[0, 2] from a line passing through points B[9, 5] and C[1, -1].
- 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
- 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.
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