Expression of a variable from the formula - practice for 14 year olds - page 28 of 55
Number of problems found: 1090
- Pebble
The aquarium is filled with two-thirds water with internal dimensions of the bottom 40 cm × 35 cm and a height of 30 cm. Calculate how many millimeters the water level in the aquarium rises by dipping a pebble-shaped sphere with a diameter of 18 cm. - Calculate 8881
A solid wooden ball made of beech wood weighs 800 g. Calculate its diameter if the wood density is pi = 750 kg/m3 - 60-meter-long 8472
A 60-meter-long rope anchors the column at 3/4 of its height. The rope is anchored in the ground at a distance of 15 meters from the base of the column. Calculate the height of the column (in tenths). - Working alone
Tom and Chandri are doing household chores. Chandri can do the work twice as fast as Tom. If they work together, they can finish the work in 5 hours. How long does it take Tom to work alone to do the same work?
- ABCDEFGHIJKL 8426
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees. - Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy? - Lateral surface area
The ratio of the area of the base of the rotary cone to its lateral surface area is 3:5. Calculate the surface and volume of the cone if its height v = 4 cm. - Motorcyclist 8375
The distance from point A to point B is 40 km. And a cyclist left at 9:00 a.m. at a speed of 20 km/h. At 9:30 a.m., a motorcyclist drove against him from place B at 40 km/h. At what time and at what distance from A do they meet?
- Increased 8350
Write with: (a) the number x increased by half (b) the number y reduced by 20 c) a quarter of the sum of the numbers x and y (d) a figure 20% greater than e) 40% of number x - RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm. - Containing 8340
Calculate the perimeter of a square containing 9 acres. - Calculate 8326
Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm. - Centimeter 8324
Calculate the radius of a sphere with a volume of 6.2 dm³. Round to the nearest centimeter.
- Centimeter 8323
The area of the cylinder shell is 307.72 cm2, and the diameter of the figure is 14 cm. Calculate its height to the nearest centimeter. - Quadrilateral 8304
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area? - Former price
The price of an article is cut by 10% to restore it to its former value. By what percent the new price must be increased? - Diamond and diagonals
A diamond has diagonals f = 8 cm and g = 6 cm long. How long is this diamond perimeter? (Calculate it!) - The diagram 2
The diagram shows a cone with a slant height of 10.5cm. If the curved surface area of the cone is 115.5 cm². Calculate to correct three significant figures: *Base Radius *Height *Volume of the cone
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