Planimetrics - math word problems - page 113 of 184
Number of problems found: 3673
- 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? - Equilateral 83013
Traffic signs are equilateral triangles with a side length of 900 mm. How many euros does a galvanized sheet cost to produce 50 pieces of such brands if we consider adding 15% of the material for waste? The price of 1 square meter of sheet metal is 6.5 eu - Ellipse
Ellipse is expressed by equation 9x² + 25y² - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the ellipse's center. - Describes 82518
The minute hand describes an angle of 180 degrees in half an hour. In how many minutes does the minute hand cover an angle of 192 degrees? - Dimensions 20513
The sides of the rectangle are 6.6 cm and 4.2 cm. We change its dimensions in a ratio of 5:2. How many times does the rectangle's area change compared to the original rectangle? - Rectangle 4077
We cut the largest possible circle from a paper rectangle with 25 cm and 15 cm sides. How many % of the area of the rectangle is the area of the circle? - Rectangle - desc circle
The length of the sides of the rectangle is at a ratio of 1:3. The circle's radius circumscribed to the rectangle is 10 cm. Calculate the rectangle's perimeter. - Clock
What distance will pass the end of an 8 cm long hour hand for 15 minutes? - Bicycle wheel
A bicycle wheel has a diameter of 60 cm. Approximately how many times does the wheel rotate at a 2.5 km long trip? - Sprinkler - irrigated area
A sprinkler is located in the park at a distance of 3m from the sidewalk. Water blasted up to a distance of max. 5m. What is the maximum length of the sidewalk it will cover? - Distance
Calculate the distance between two points K[6; -9] and G[5; -1]. - Square into three rectangles
Divide the square with a side length of 12 cm into three rectangles with the same circumference so that these circumferences are as small as possible. - Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid. - Lawn and garden
The garden around the new house is divided as follows: 30% flowers, 35% orchards, and 150 m² form a lawn. What is the total area of the garden? - Quatrefoil 81138
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - 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 (areas) of the paddock stays the same. What will be the wid - Rectangular 6397
Calculate the area of Mr. Vejvoda's rectangular garden rounded to whole hectares if you know that garden fencing, including gates and doors, is 420 m long and its dimensions are in the ratio of 9:5 - Circumference 6382
Jan bought a large rectangle plot with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of the same length. Their longer sides are three consecutive natural numbers. Find out each plot's dimens - Percentage 67494
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted?
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