Planimetrics - math word problems - page 104 of 184
Number of problems found: 3667
- Corresponding 79314
On the circular face of the clock, we connect the points corresponding to the numbers 2, 9, and 11, which creates a triangle. Calculate the sizes of all the interior angles of that triangle.
- Express
Express the equation of the function: a/prices of cucumbers for the number of cucumbers sold, if one cucumber costs CZK 5 b/the area of the rectangle on side b, if side a measures 5 cm c/the perimeter of the rectangle on side b, if side a measures 5 cm d/
- Chords centers
The circle has a diameter of 17 cm, upper chord |CD| = 10.2 cm, and bottom chord |EF| = 7.5 cm. The chords H and G midpoints are |EH| = 1/2 |EF| and |CG| = 1/2 |CD|. Find the distance between the G and H if CD II EF (parallel).
- Circles
In the circle with a radius, 7.5 cm is constructed of two parallel chords whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions, write both).
- Height
Is it true that the height is less or equal to half of the hypotenuse in any right triangle?
- Isosceles trapezium
Trapezoid YUEB (YU||EB) is isosceles. The size of the angle at vertex U is 49 degrees. Calculate the size of the angle at vertex B.
- Inner angles
The magnitude of the internal angle at the central vertex C of the isosceles triangle ABC is 72°. The line p, parallel to the base of this triangle, divides the triangle into a trapezoid and a smaller triangle. How big are the inner angles of the trapezoi
- Mice
Mice consumed a circular hole in a slice of cheese. The cheese is a circular cut with a radius of 20 cm and an angle of 90 degrees. What percentage of the cheese ate mice if they made 20 holes with a diameter of 2 cm?
- Bed 10
A bed shaped like two equilateral triangles with a common side, with a side length of 2.5 m, is to be planted with seedlings of an ornamental shrub. The gardener recommended leaving 40 cm between the individual seedlings and 10 cm of the perimeter for the
- Distance
What is the distance between the origin and the point (-11; 13)?
- Horizontally 5480
Let's have a 4x6 grid, i.e., with 5x7 grid points. Can each grid point be colored white or blue so that each point has an even number of white neighbors? At the same time, those points that are connected by one line of the grid are considered to be neighb
- Washer
The washing machine drum washes at 64 RPM. The washing machine motor pulley has a diameter of 6 cm. What must be the diameter of the drum machine pulley when the motor is at 367 RPM?
- Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose
- Dimensions 82414
The flag of Brazil has a yellow diamond on a green field with a blue circle inside. If we had a flag with dimensions of 70 cm x 50 cm, the rhombus would have a side 35 cm long and a height of 30 cm. Indicate with fractions in basic form what part of the f
- Diameter 7591
The pedal wheel on a bicycle has 28 teeth. The gear wheel on the rear wheel has 8 teeth. How many times does the rear wheel turn if we step on both feet 112 times? How many meters can we travel with it at least, and how much more if the rear wheel has a d
- Coordinates
Determine the coordinates of the vertices and the area of the parallelogram, the two sides of which lie on the lines 8x + 3y + 1 = 0, 2x + y-1 = 0, and the diagonal on the line 3x + 2y + 3 = 0
- Coordinates of the vertices
Calculate the coordinates of the vertices of a triangle if the equations of its sides are 7x-4y-1 = 0 x-2y + 7 = 0 2x + y + 4 = 0
- Ruler
Peter is looking at John over a ruler that keeps at an arm's distance of 60 cm from the eye, and on the ruler, John measured the height of 15 mm. John is 2 meters high. How far from Peter stands John?
- Circle
The circle touches two parallel lines, p, and q, and its center lies on line a, which is the secant of lines p and q. Write the equation of the circle and determine the coordinates of the center and radius. p: x-10 = 0 q: -x-19 = 0 a: 9x-4y+5 = 0
- Fabric 29531
To sew a dress, you need 2 meters of fabric 150cm wide. How many meters of cloth do we need for the same dress if the fabric is only 90 cm wide?
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