Planimetrics - math word problems - page 134 of 185
Number of problems found: 3688
- Diver
Please calculate using Pascal's law. The window of the diving helmet has a surface area of about 7dm². What pressure force acts on the window at a depth of 20 meters below the water surface? - Rectangle area dimensions
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²? - Triangle height ratio
In the right-angled triangle ABC (AB is the hypotenuse), a : b = 24 : 7, and the height to the side c = 12.6 cm applies. Calculate the lengths of the sides of triangle ABC. - Sunflower Field
The trapezoidal sunflower field is located between two parallel paths spaced 230 meters apart. The lengths of the parallel sides of the field are 255 m and 274 m. How many tons of sunflower will come from this field if the hectare yield is 2.25 tons? - Propeller
The aircraft propeller rotates at an angular speed of 200 rad/s. A) What is the speed at the tip of the propeller if its distance from the axis of rotation is 1.5 m? B) What path does the aircraft travel during one propeller revolution at a speed of 540 k - Steel wire resistance
The steel conductors of the long-distance power line have a cross-section of 5 cm². Calculate the resistance of a steel wire with a length of 2 km if the resistivity of the steel is 13 * 10-8 Ω · m. - Distance Between Walkers
Adam and Boris go from school on two perpendicular paths. Adam's average speed is 6 km/h, and Borisova's is 8 km/h. How far will they be by air for 0.5 hours? - The parabolic segment
The parabolic segment has a base a = 4 cm and a height v = 6 cm. Calculate the volume of the body that results from the rotation of this segment a) around its base b) around its axis. - Square garden side
The rectangular garden is 81 meters long and 36 meters wide. How long will the square garden's side be in the same area? - Rectangle
The length of the rectangle is in the ratio of 5:12, and the circumference is 238 cm. Calculate the length of the diagonal and the area of the rectangle. - Circles
The areas of the two circles are in the ratio 5:10. The larger circle has a diameter of 14. Calculate the radius of the smaller circle. - The angles 3
The angles in a triangle are in the ratio of 3:4:5. Work out the size of each angle. - Wheel
How many times turns the wheel of a passenger car in one second if the vehicle runs at speed 52 km/h? Wheel diameter is d = 60 cm. - Rotational motion of a cylinder
Calculate the kinetic energy of a cylindrical body of radius r= 0.08 meter and mass m= 1.5kg at time t= 5 s, if this body rotates around an axis passing through the center of the cylinder with a constant acceleration Ԑ= 5 rad/s², if at time t=. - Railway arc length
On the tourist map with a scale of 1:50000, the section of the railway line between Bobrová Lhota and Javořiště is replaced by an arc of a circle with a radius of 6 cm. The arc is 90°. Determine the actual length of the track between the two villages. - Quadrilateral and angles
In a quadrilateral, angle α is twice as large as angle β. Angle γ is 80% of angle α, and angle δ is 30° greater than angle α. Determine the angles of this quadrilateral. - Garden sidewalk diagonal
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden. - Circle radius calculation
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 18 cm. Calculate the radius of the smaller circle. - Internal angles IST
Determine internal angles of isosceles trapezium ABCD /a, c are the bases/ and if: alpha:gamma = 1:3 - Ratio three numbers
Three numbers SUV are in the ratio 2:3:4. Their sum is 90. Find these numbers and write their add and sum.
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