Length - practice for 13 year olds - page 65 of 67
Number of problems found: 1322
- Balance
The rod is 4.3 m long hanging weights 9 kg and 15 kg on ends. Where is the center of the rod (distance from weight 9 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?
- Rail turn
The curve radius on the railway line is 532 m. The length of the rail track on it is 818 m. How many degrees is the angle ASB if A and B are boundary points and S is the center of the arc curve? - 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?
- Shots
5500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - 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? - Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm. - 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? - Box
Calculate the angle between box base 9 x 14 and body diagonal length 18.
- Gear wheels
Two gear wheels, which fit together, have the number of teeth z1=117 and z2=70. Calculate the speed of the first wheel if the second wheel rotates 582 revolutions per minute. - Median
In the right triangle are sides a=96 dm b=31 dm. Calculate the length of the medians tc to the hypotenuse. - Conserving water
Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in the pipeline. The residential house has 129 m of hot water pipelines 5/8" and the hot water has a price of 7 Eur/m³. - Cap
A rotating cone shapes a jesters hat. Calculate how much paper is needed for the cap 54 cm high when the head circumference is 47 cm. - Car range
Kia has an average diesel consumption of 5 liters per 100 kilometers. What is the range of the car for 135 euros if fuel costs 1.4 EUR/liter, if the tank has a volume of 51 liters?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.