Rearrange variables - math word problems - page 13 of 147

Number of problems found: 2922

From a full
From a full cylindrical glass with a diameter of 8 cm, 1 decilitre of water was poured out. By how many centimetres did the water level in the glass drop?
RRL Basics
What is the length of the smaller base and the height of an isosceles trapezoid if a = 9 dm, the leg is 6 dm, and angle ACB = 90°?
Parallelogram 44
Parallelogram ABCD has an area of 32 cm², |AB| = 8 cm, |BC| = 5 cm. Calculate the sizes of its interior angles.
In a regular 5
In a regular triangular prism ABCV, the angle between the lateral face and the base plane is α = 45°. Determine the angle between the lateral edge and the base plane.
Between terminals
A resistor is connected to a 220 V source. A current of 220 mA flows through the resistor. Determine the current that flows through the resistor when it is connected to a 24 V voltage source.
The tower
From a window 8 m above the horizontal plane, the top of a tower can be seen at an elevation angle of 53°20′, and its base at a depression angle of 14°15′. How high is the tower?
On a mass
Forces F₁ and F₂, each with a magnitude of 40 N, act on a mass point M. Their resultant has a magnitude of 60 N. Determine the angle between forces F₁ and F₂.
Base RR odd
The base of a prism is an isosceles trapezoid ABCD with bases AB = 12 cm and CD = 9 cm. The angle at vertex B is 48°10′. Determine the volume and surface area of the prism if its height is 35 cm.
Parallelogram 43
A parallelogram has a perimeter of 20.4 cm. One of its sides is 5.5 cm long. Calculate the length of the other side.
Tanker 3
A full fuel tank weighs 4,500 kg. If we pump out 30% of the gasoline, it will weigh 3,900 kg. How many kilograms does the empty tank weigh?
RR trapezoid 12
In an isosceles trapezoid ABCD, calculate the missing side lengths given a = 46 cm, b = 85 cm, and height = 84 cm.
Area 51
The area of a triangle is 54.39, angle alpha is 32°, and angle gamma is 144°.
Determine the surface area
Find the surface area of a cone of height 30 cm whose slant side makes an angle of 60° with the base plane.
Calculate
A cone has a base diameter of 16 cm and a slant height of 10 cm. Calculate its surface area and volume.
Observation tower
An observation tower is covered with a roof in the shape of a regular quadrilateral pyramid with a base edge of 8 m and a height of 6 m. 60% of the roofing needs to be replaced. How many m² of new roofing material need to be bought?
Cube 53
A cuboid with a volume of 60 cm³ has a base with dimensions of 3 cm × 5 cm. Calculate the height of the cuboid in centimetres.
Parallelogram - ratio
The lengths of the adjacent sides of a parallelogram are in the ratio 8:3. The shorter side is 4.2 cm long. Calculate the perimeter of the parallelogram.
A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 2.4 m × 0.8 m × 0.5 m. What will be the volume of a cube-shaped chest with the same surface area?
Isosceles
An isosceles trapezoid ABCD has a perimeter of 39 cm. Base AB is 7 cm longer than base CD, and each leg is 2 cm shorter than base CD. Calculate the length of base CD.
Express the unknown
Using the formula p = F ÷ S, express the unknown F.

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