Planimetrics - math word problems - page 114 of 185
Number of problems found: 3687
- Diameters of euro coins
When paying, we use euro coins with the following diameters: The 10-cent coin has a diameter of 19.75 mm. The 20-cent coin has a diameter of 22.25 mm. The 50-cent coin has a diameter of 24.25 mm. Find out in what ratio the diameters of these coins are. - Find all
Find all right-angled triangles whose side lengths form an arithmetic sequence. - 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]. - Square side increase
We increased the side of the square by 12% from the original 15cm. For a, what was the perimeter and area of the new square? By what percent did the perimeter and area increase? - Picture ratio reduction
The picture for the textbook was reduced to a ratio of 2:5. What are the dimensions of the reduced image if the original dimensions were 20 cm and 15 cm? - Square side reduction A square has a side length of 25 cm. How big is its area if the side is reduced by 25%?
- National park
In the national park, the ratio of the wooded area to grassland is 4:1. The total area is 385 km². What area is wooded? - Square - increased perimeter
How many times is the increased perimeter of the square, where its sides, increased by 150%? If the perimeter of the square increases twice, how much % increases the area of the square? - Arc
What area of a circle occupied the flowers planted in the arc of a circle with a radius 3 m with a central angle of 45°? - Obtuse angle
Line OH is the height of the triangle DOM, and line MN is the bisector of angle DMO. the Obtuse angle between the lines MN and OH is four times larger than the angle DMN. What size is the angle DMO? (see attached image) - Arc
The circle arc corresponding to the angle is 357° is 18 dm long. What is the length of the entire circle? - Wheat
The rectangle-shaped field with dimensions 529 m and 1001 m harvested last year was 2780 q wheat. (1 q = 1 quintal = 100 kg). During the year, it was necessary to fix the pipe and therefore did kick wide 4 m parallel to the side of the field 1001 m, were - 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? - 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. - Rectangle 39
Find the perimeter and area of the rectangular with vertices (-1, 4), (0,4), (0, -1), and (-1,-1) - Cardboard box
Peter had square cardboard. The length of the edges was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit precisely 108 cubes with an edge one dm long. Julia cut four squares with a side - A circle
A circle relation is given to be x² + y² =16. What is the radius of the circle? - Figure
Figure A is a scale image of Figure B, as shown. (Figure A is 6 inches, and Figure B is x inches, both squares) The scale that maps Figure A onto Figure B is 1:1 1/3. Enter the value f x - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - Tree shadow 3
A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m?
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