Planimetrics - math word problems - page 128 of 185
Number of problems found: 3685
- Sides in ratio
The sides of the triangle are in a ratio of 2:6:5. Find the dimensions of the remaining sides if the longest side is 32 cm. - Chord of triangle
If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer parts? - The angles ratio
The angles in the ABC triangle are in the ratio 1:2:3. Find the angles' sizes and determine what kind of a triangle it is. - Hyperbola equation
Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10] - Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled? - Hydraulic 35301
The hydraulic jack has pistons with a capacity of 6 cm² and 360 cm². How much force do we have to apply to the smaller piston to be able to lift a body weighing 180 kg on the larger piston? - Two aircraft
Two planes fly to the airport. At some point, the first airplane is away from the airport by 98 km and the second by 138 km. The first aircraft flies at an average speed of 420 km/h, and the second average speed is 360 km/h, while the tracks of both plane - Inner-circle 2902
The student should remove the inner circle with a radius of 3 cm from the circle with a radius of 7 cm. How much of the area of the large circle will be removed? Express result in percent. - Triangle ABP
An isosceles trapezoid ABCD is given. The length of side AB is 10 cm, the length of CD is 7 cm, and the height to side AB is 4 cm. Point P is the base of the altitude to side AD. Calculate the area of the triangle ABP. - The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²? - Jewelry box
The bottom of Zeyda's jewelry box is a rectangle with a length of 5 3/8 inches and a width of 3 1/4 inches. What is the area at the bottom of the jewelry box? - Square metal sheet
We cut out four squares with a 300 mm side from a square sheet metal plate with a side of 0.7 m. Express the fraction and the percentage of waste from the square metal sheet. - Rhombus IV
Calculate the length of the diagonals of the rhombus, whose sizes are in the ratio of 1:2 and a rhombus side is 35 cm. - The mowers
The mowers were to mow two meadows, one twice as big as the other. They divided into two equal groups in the first half of the day. One continued to mow a larger meadow and cut it all by the end of the day. The second group mowed a smaller meadow but did - Circumference 20323 A triangle with sides a, b, and c whose circumference is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle.
- EQ2 - symetric results
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2). - Square sides
If the square side increases by 28%, the square circumference increases by 11.2 meters. Find the length of the original square side. - Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm? - Median
The median of the triangle NOP is away from vertex P 95 cm. Calculate the length of the median, which start at P. - Cross section
The cross-section ABCD of a swimming pool is a trapezium. Its width is AB=14 meters, the depth at the shallow end is 1.5 meters, and at the deep end is 8 meters. Find the area of the cross-section.
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