Planimetrics - math word problems - page 97 of 169
Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.Number of problems found: 3362
- Intersection 3486
The rectangular coordinate system has a point A [-2; -4] and a point S [0; -2]. Determine the coordinates of points B, C, and D so that ABCD is a square and S is the intersection of their diagonals. - Property
The length of the rectangle-shaped property is 8 meters, less than three times the width. If we increase the width by 5% of a length and length reduce by 14% of the width, it will increase the property perimeter by 13 meters. How much will the property co - Consecutive Interior Angles
PQRS is a trapezium in which PQ is parallel to SR and ∠P = 130 ̊, ∠Q = 110 ̊. Find the remaining angles. - Determine
Determine which type of quadrilateral ABCD is and find its perimeter if you know the coordinates of vertices: A/2,4 /, B / -2,1 /, C / -2, -2 /, D/2, -5 /. - Reconstruction 23531
The enclosure for lions in the ZOO has a rectangular shape with a length of 5.6m and a width of 6.8m. During the reconstruction, the length of the fence must be adjusted to 5.2 m so that the size (contents) of the paddock stays the same. What will be the - One angle 2
One angle of a triangle measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles? - Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1:3. What is the size of the larger of them? - Arc
The length of the circle is 18, and the arc length of the circle is 1. What is the magnitude of the angle of this arc? - Original 80393
Resize the square to 10:3. The original size is 3 cm. - Calculate 68394
The sizes of the interior angles of the triangle are in the ratio of 3:4:5. Calculate these angles. - Matrices 5702
How many columns will the matrix K contain, which will be the product of matrices I and J, where matrices I and J are square matrices of the sixth order? - Triangle 3187
In a general triangle, the aspect ratio a: b = 2: 3. What is the ratio of heights va: vb? - Spectators 7562
The theater has the shape of a semicircle. A podium is the diameter of a semicircle. Spectators K, L, M, N, and O, sit around the perimeter. Who sees the podium at the greatest angle? - Diameters: 23901
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. - Mysterious area
The trapezoid ABCD is given. Calculate its area if the area of the DBC triangle is 27 cm². - Dimensions 81780
The garden is 24m long and 15m wide. Determine the ratio of the dimensions of this rectangle. - Squares 5479
Draw two stone squares. They have a total of 34 stones. What edges do the squares have? - Percentage 4138
What percentage does the white color on the Czech flag occupy? - Determine 80754
The perimeter of triangle MAK is 216 mm, side a = 81 mm, and side k = 62 mm. Determine the side length of the triangle OSA if the triangle MAK is congruent to the triangle OSA. - Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
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