Expression of a variable from the formula - practice for 13 year olds - page 11 of 57
Number of problems found: 1135
- Intersections 68784
The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places. - Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units. - Perimeter 67934
The length of the rectangle is (x + 5y - 2), and its width is (x + 2) smaller than the length. Express the perimeter of the rectangle by variables. - Measuring 67734
The candle has the shape of a block measuring 3 cm, 4 cm, and 5 cm. How many times is more wax used to make a candle if we gradually enlarge one, two, and all three edges twice?
- Corresponding 67714
The quadrilateral prism has a volume of 720cm³. Calculate the height of the prism if the base is a rhombus with a side 16 cm long and a corresponding height of 5 cm. - The length 9
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4cm and 300 cubic cm, respectively. What is the length of this cuboid? - Circumference 67334
What is the area and circumference of a diamond whose diagonals are 7 dm and 12dm in length and 6 dm in height? - Temperature linear fit
At 2:00 a.m., the temperature was -7°F. At noon the temperature was 18°F. What expression represents the increase in temperature? - Surface 67004
A block with a square base with an edge length of 4 dm has a surface area of 112 dm square. Find its height.
- Kilograms 66864
The sculptor composes an ice city from ice cubes. The cube with an edge length of 2 dm weighs 7.2 kg. How many kilograms is an ice cube with an edge length of 6 dm heavier than it? - Milliliters 66834
The cube-shaped vase contains 320 ml of water, which reaches a height of 5 CM. How many milliliters of water can we pour into the vase, so the water does not run out? - Percentage 66684
Prism with square base a=25cm, height h=45cm. cube: b=15cm a) what percentage of the volume of the prism is the volume of the cube? b) what height should the prism have to have the same volume as the cube? - Deciliters 66324
We placed the largest possible lead cylinder in a 1-liter cube container. How many deciliters of water will now fit in the container? - Quadrilateral 66294
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle)
- Increase 65794
The area of the square is 36 cm². What will be the area of the square if we increase the length of a side by 25%? - 100-b+a-a/2 65424
The foreman earned a € on Monday, on Tuesday b € less than €100, on Wednesday half less than on Monday. How many euros did he earn in total? Determine the correct answer expressed in an expression with a variable: A. a + 100-b+a+a/2 B. a + 100+ b+a-a/2 C. - Distance 64804
Dan is the square ABCD. At its diagonal AC lies point E. The distance AB is equal to the distance AE. What is the size of the EBC angle? - Developed 64664
The cyclist in the 1st stage covered 70 km at a speed of 22.1 km/h. In the 2nd stage, he covered 40 km (a total of 110 km), and his average speed increased to 22.9 km/h. What an average speed he developed in the 2nd stage. - Calculate 64584
The base of the block is a square with an area of 16 cm². The surface of the block is 128 cm². You calculate the volume of the block in cm³.
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