Length - practice for 14 year olds - page 48 of 50
Number of problems found: 992
- Forces
In point, O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3. - Diagonal
Determine the dimensions of the cuboid if diagonal long 60 dm has an angle with one edge 35° and with another edge 77°. - Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm. - Right triangle
Right triangle ABC with side a = 19 and the area S = 95. Calculate the length of the remaining sides.
- Square diagonal
Calculate the length of the diagonal of the square with side a = 11 cm. - Pool
The swimming pool is 10 m wide and 8 m long, and 153 cm deep. How many hectoliters of water are in it if the water is 30 cm below its upper edge? - Balance
The rod is 1.9 m long hanging weights 4 kg and 1 kg on ends. Where is the center of the rod (distance from weight 4 kg) to be in balance? - Cubes
Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm². Determine the length of the edges of these cubes. - Free fall
Pavel fall from height 9 m. Calculate the speed he hit the ground when falling with acceleration g = 9.81 m/s²
- Subway
The Subway train went between two stations that gradually accelerated for 26 seconds and reached a speed of 72 km/h. At this rate, it went 56 seconds. Then 16 seconds slowed to a stop. What was the distance between the stations? - Mast
Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast if the sun above the horizon is at an angle 45°12'. - Sea
How far can you see from the ship's mast, whose peak is at 14 meters above sea level? (Earth's radius is 6370 km). - Arc and segment
Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. The circle's radius is 11, and the corresponding angle is (2)/(12) π. - Sphere
The sphere's surface is 12100 cm², and the weight is 136 kg. What is its density?
- Octagon
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon? - Meridian
What is the distance (length) of the Earth's meridian 15° when the radius of the Earth is 6370 km? - Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm. - Transforming cuboid
A cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length? - Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord?
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