Planimetry - math word problems - page 135 of 187
Number of problems found: 3739
- 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. - Hydraulic jack force
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? - Wood floats
A wooden cylinder with a diameter of 20 cm and a length of 1 m is immersed in water. The specific weight of wood is 700 kg/m³. For example, calculate the height of the wood that is above the water. The role was assigned to me as a high school freshman mat - Regular polygons
Two regular polygons, x and y, are such that the number of sides of x is three more than the number of the sides of y. If the sum of the exterior angles of x and y is 117°, how many sides have x? - Square circuit ratio
The area of one square is 81 cm², and the area of the other is 225 cm². What is the ratio of their circuits? - 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
A rectangular garden is 81 metres long and 36 metres wide. How long will the side of a square garden with the same area be? - Draw a triangle
We have line segments with lengths of 3 cm, 5 cm, 6 cm, 7 cm, and 9 cm. What is the probability in % that if I randomly select three of them, I will be able to draw a triangle? - Base and longest side
The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle? - Ray
Light ray loses 1/19 of brightness passing through a glass plate. What is the brightness of the ray after passing through 5 identical plates? - Lake path calculation
Lake Trasimeno is approximately in the shape of a circle, its area is about 28 square kilometers, and Mr. Hector's walking speed is approximately 4 km/h. Calculate the length of the path around the lake and how many hours Mr. Hector would have to walk to - Flywheel energy decrease
How much energy was supplied by the flywheel of the device if its number of revolutions decreased from 1200 to 720 revolutions per minute if it has a moment of inertia of 71.3 kg/m²? - two spacecraft
Recently, two spacecraft successfully landed on two small planets labeled α and β. Both ships were equipped with sensitive sensors that measured the basic parameters of the asteroids. The sensors found that the day α took six times longer on planet α than - 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 - 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? - Two aircraft
From the airport will start simultaneously two planes, whose flight tracks are perpendicular to each other. The first flying speed of 680 km/h and the second 840 km/h. Calculate how far the aircraft will fly for half an hour. - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How long is its longest side? - Rectangle Diagonal Length
The sides of the rectangle are in a ratio of 3:5. Its circumference is 48 cm. Calculate the length of its diagonal.
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