Ratio + expression of a variable from the formula - practice problems - page 2 of 13
Number of problems found: 258
- Calculate 81936
The volume of the block is 7,500 dm³. The lengths of the edges are in the ratio 3: 4: 5. Calculate the surface area of the cuboid. - Calculate 81935
The volume of the cuboid is 960 cm³. The lengths of the edges are in the ratio 1 : 3: 5. Calculate the surface area of the cuboid. - Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence. - Rectangle's 81596
The rectangle has a perimeter of 30 cm. The ratio of its sides a: b=2:3. Calculate the sides' lengths and the rectangle's area.
- Three ratios
Calculate x in terms of: x:7=6:4 1/2:x=5:3/4 4:3=8:x - Determine 81311
The surface of the rotating cone and its base area is in the ratio 18:5. Determine the volume of the cone if its body height is 12 cm. - Complementary 81152
In a certain polygon, the ratio of the sum of the sizes of its internal angles and the sum of the sizes of the complementary angles is 2:5. How many vertices does this polygon have? - Right-angled 81150
In the right-angled triangle ABC (the right angle at vertex C), the angle ratio is α : β = 5 : 3. Calculate the sizes of these angles and convert them to degrees and minutes (e.g., 45°20') - Relatively 81129
The sides of the rectangle are relatively 5:4, and the perimeter of the rectangle is 308 dm. Find the area of the rectangle.
- Right-angled 81126
In a right-angled triangle, the hypotenuse has a length of 24 cm. The heel of the height on the hypotenuse divides it into two parts in a ratio of 2:4. What size in cm is the height at the hypotenuse? Calculate the perimeter of this right triangle in cent - Circumscribed 81025
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere. - Right-angled 81019
In the right-angled triangle ABC (AB is the hypotenuse), a : b = 24 : 7, and the height to the side c = 12.6 cm applies. Calculate the lengths of the sides of triangle ABC. - Rectangular 80776
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden. - Home is home
At 65km/h, Alfred can reach home in 50 minutes. At what speed should he drive his car so that he can reach home 10 minutes earlier?
- The sum 27
The sum of a geometric progression's second and third terms is six times the fourth term. Find the two possible values of the common ratio. - Two numbers 13
Two numbers are in the ratio 5:8. When 2 is added to each, the ratio of the resulting numbers is 2:3. Find the numbers. - Resistance 80351
We connected two resistors in parallel in the circuit, with the first having three times the resistance of the second. The voltage between the terminals of each resistor is 6 V. Calculate the current through each branch when the resulting resistance of bo - Dimensions 79294
The swimming pool dimensions are as follows: l:w:h = 10:4:1. The pool can hold 625 m³ of water. Calculate how many square meters of tiles need to be purchased for lining the pool walls if we add 5% for waste. - Solve 16
Solve for the value of the variables x: y:30=3:21
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