Isolating a variable in the formula - math word problems - page 142 of 145

Number of problems found: 2883

Flowerbed 2
Around the square flower bed in a park is a sidewalk about 1.3 m wide. The area of this sidewalk is 246 m². What is the area of the flowerbed?
Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 2:7. The area of triangle ACD is 140 dm². What is the area of trapezoid ABCD?
Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1471 cm³ and a base radii r₁ = 6.1 cm and r₂ = 7.9 cm.
Ethnicity
The share of ethnicity XY is 73%, which is 1/5 more than in the prewar period. What was the share of that ethnicity in the prewar period?
Fire tank
The whole fire tank was discharged once in 6 days, first out by a second in $n day. Once firefighters pumped out 4/5 of water from the tank, they let the water flow out both drains. How long does it take to empty the tank?
Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism?
Ice cream in cone
The ice cream cone with a diameter of 5.4 cm is 1.2 dl of ice cream. Calculate the depth of the cone.
Arc
The length of the circle is 13, and the arc length of the circle is 5. What is the magnitude of the angle of this arc?
7 triangle
The triangle area is 86.7 cm². find the side length if appropriate height h = 36.15 cm.
Water tank
The water tank-shaped cuboid has a width of 2.3 m and a length twice as large. If water flows into 19 liters of water per second during 52 minutes, how high will it reach?
Right angled
We built a square with the same area as the right triangle with legs 17 cm and 17 cm. How long will be the side of the square?
Boat
A force of 240 kg (2400 N) is required to pull a boat up a ramp inclined at 10° with horizontal. How much does the boat weigh?
Tiles
How many 18 cm square tiles will cover a floor 8.46 m by 5.76 m?
Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm.
The circle arc
Calculate the span of the arc, which is part of a circle with diameter d = 11 m and its height is 5 m.
Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface.
Circle
What is the radius of the circle whose perimeter is 11 km?
Sequence
Between numbers, 11 and 115, insert n members of the arithmetic sequence whose sum is 2835.
Cylinder
The cylinder surface is 922 dm². Its height is equal to the radius of the base. Calculate the height of this cylinder.
Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment.

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