Planimetrics - math word problems - page 125 of 178
Number of problems found: 3557
- 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]
- Determine 3586
Determine the size of the vectors u = (2,4) and v = (-3,3)
- Square
The square's side length decreases by 25%, and its area is now 28 cm22 lower. Find the side of the original square.
- Ratio of sides 2
The ratio of the side lengths of one square to another is 1:2. Find the ratio of the area of the two squares.
- Area decrease
If the area of the square decreases by 19%, by how much percent does the side of the square decrease?
- Isosceles triangle
The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at a ratio of 5:6. Find the triangle area.
- Trapezoid
The area of a trapezoid is 135 cm². The sides a, c, and height h are in a ratio of 6:4:3. How long are sides a, c, and height h? Perform calculation.
- Numbers
Determine the number of all positive integers less than 5286382 if each is divisible by 19, 5, 23. What is its sum?
- Circumscribed 83152
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle.
- Hypotenuse 72524
We know the height of the hypotenuse h = 4cm and the hypotenuse c = 19cm in a right triangle. How to calculate the segments of legs - sections on the hypotenuse c1, c2
- Determine 69304
Determine the size of the ACF angle in the regular ABCDEF hexagon.
- Equation 80525
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2]
- 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.
- Vertices of a right triangle
Show that the points D(2,1), E(4,0), and F(5,7) are vertices of a right triangle.
- 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.
- 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?
- Unit vector 2D
Find coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
- Ratio of squares
A circle is given, and a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares?
- Tiles
How many 20 cm and 30 cm tiles can build a square if we have a maximum of 100 tiles?
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