Geometry - math word problems - page 19 of 162
Number of problems found: 3238
- Vectors
Vector a has coordinates (8; 10), and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c? - A circle
A circle relation is given to be x² + y² =16. What is the radius of the circle? - 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? - Similarity
ABC is a triangle wherein a = 4 cm, b = 6 cm, c = 8 cm. Is it similar to the triangle DEF: d = 3 cm, e = 4.5 cm, f = 6 cm? If so, determine the ratio of similarity. - Distance
Calculate the distance between two points K[6; -9] and G[5; -1]. - Find all
Find all right-angled triangles whose side lengths form an arithmetic sequence. - Rectangle 39
Find the perimeter and area of the rectangular with vertices (-1, 4), (0,4), (0, -1), and (-1,-1) - 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? - 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? - 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. - Intersection 74914
Find the perimeter of triangle ABC, where point A begins the coordinate system. Point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function with the y-axis. - 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) - Ellipse
Ellipse is expressed by equation 9x² + 25y² - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the ellipse's center. - 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 - Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid. - 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. - 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 - 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?
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