Comparing + expression of a variable from the formula - practice problems - page 2 of 3
Number of problems found: 45
- Gravitational 38843
An aluminum plate with a volume of 200 cm³ sinks in water. Determine the gravitational force exerted by the Earth on the plate. Determine the buoyant force that acts on a plate immersed in water. Compare the magnitudes of these forces and justify whether - Decreasing 36183
Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing. - Rotating 28501
Which bags shaped like the shell of a rotating cone can hold the most popcorn? The first bag has a height of 20 cm, and the length of its side is 24 cm. The second bag has a base radius of 10 cm and a height of 25 cm. - Calculate 26051
The base of the prism has the shape of a square with a side of 10 cm. The height of the prism is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume.
- Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls or one big ball? - Volumes 24771
The block and the cube have the same volumes = 216 cm³. The block has side lengths of b = 4 cm, c = 9 cm. Can they have the same side? - What is bigger?
Which ball has a larger volume: a football with a circumference of 66 cm or a volleyball with a diameter of 20 cm? - Wallpaper
3750 cm square of wallpaper is needed to glue a cube-shaped box. Can Dad cut out the whole necessary piece of wallpaper if he has a roll of wallpaper 50 cm wide? - A cell tower
A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal?
- Container 15093
A cone-shaped container with a bottom diameter of 60 cm and a side length of 0.5 m is filled with water. We pour the water into a container with the face of a cylinder with a radius of 3dm and a height of 20cm. Will the cylinder overflow or not be complet - The perimeter of the rectangle
The length, l, of a rectangle is 4 inches greater than its width, w. The perimeter of the rectangle is at least 30 inches. What inequality shows the range of possible widths of the rectangle? - The wellbore
The wellbore has a tributary of 2 m³ per hour. When there is no tapping, there are a stable 28 liters of water in the well. The pump suction basket is at the bottom of the well. At 14.00, the water was pumped out at a rate of 0.5 liters every second. What - Agricultural 11691
The tractor leaves the field and heads towards an agricultural cooperative 14 km away at an average speed of 20 km/h. Twenty minutes later, an agronomist followed him from the same field on a motorcycle at an average speed of 45 km/h. Will he catch up wit - 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.
- Contain 7986
The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there? - Centimeter 7821
What should a sweet tooth choose if he wants more chocolate: a package containing 200 pieces of solid chocolate balls with a diameter of 1 centimeter or a hollow ball with an outer diameter of 10 cm made of 5 mm thick chocolate? - Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Calculate 2
Calculate the largest angle of the triangle whose sides are 5.2cm, 3.6cm, and 2.1cm - Inequality 7320
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc
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