Pythagorean theorem - math word problems - page 48 of 73
Number of problems found: 1453
- 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. - Calculate 7
Calculate the height of the trapezoid ABCD, where the coordinates of vertices are: A[2, 1], B[8, 5], C[5, 5] and D[2, 3] - Distance between 2 points
Find the distance between the points (7, -9), (-1, -9) - Vertices of RT
Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle. - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - Equation of circle
Find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16. - 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|. - Equation of a circle
Write the general equation of a circle with center S(2;5) and point B(5;6) lying on this circle. - Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - Center
Calculate the coordinates of the circle center: x² -10x + y² +9 = 0 - Height
Is it true that the height is less or equal to half of the hypotenuse in any right triangle? - Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|. - Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down? - Top of the tower
The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m. The pyramid height is 1.6 m. How many square meters of sheet metal are needed to cover the top of the tower if 15% extra sheet metal is needed for join - Pentagonal pyramid
Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm. - Pit
The pit is 1.2 m deep and in the shape of a truncated pyramid with a rectangular base. Its length and width are the top 3 × 1.5 m and the bottom 1 m × 0.5 m. To paint one square meter of the pit, we use 0.8 l of green paint. How many liters of paint are n - Wooden 3
A wooden board 2.5 m long has a cross-section in the shape of a regular trapezoid whose parallel sides have lengths of 1.2 dm and 8 cm. The height of the trapezoid is 3 cm. Calculate: a) the surface area of the board to calculate the consumption of stai - A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm? - Spherical cap
What is the surface area of a spherical cap, the base diameter 27 m, and height 2 m? - MO SK/CZ Z9–I–3
John had the ball that rolled into the pool and swam in the water. Its highest point was 2 cm above the surface. The circle's diameter that marked the water level on the ball's surface was 8 cm. Find the diameter of John's ball.
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