Isolating a variable in the formula - math word problems - page 103 of 144

Number of problems found: 2877

Circumference 6338
The circle has the same area as the square, whose circumference is 400m. Calculate the diameter of the circle.
Quadrilateral 6332
The regular quadrilateral pyramid is 2 m high. The height of the sidewall is 2.8 m. What are the dimensions of the base? Calculate the surface area and volume of the pyramid.
Calculate 6331
The regular hexagonal pyramid has a base edge of 20 cm and a side edge of 40 cm. Calculate the height and surface of the pyramid
Granite sidewalk
On the sidewalk, 3 m wide and 8 m long, 2 m³ of mosaic stone (granite cubes) was used. The master of tiles had to pave the sidewalk 2.5 m wide and 65 m long. How much m³ of the stone does it consume?
Block-shaped 6328
There are 20,000 liters of water in a block-shaped tank with 5 m and 4 m bottom dimensions. What is the water level?
Length 6326
The cube has an area of 5400 cm². What are the length of its edge and the volume of the cube?
Polynomial 6321
Simplify polynomial entry: (x + 2)² + (x-2) (x + 2)
Oranges
The mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there?
Twenty-three-year-old 6317
The average age of the first five hockey players was 22 years. The coach replaced the twenty-three-year-old player with a younger one, which lowered the average age of the first five hockey players to 21 years. How old is the new player?
A box
A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R?
Circumference 6312
The triangle has a circumference of 35 cm. The first side is four centimeters larger than the second and, at the same time, 1 cm larger than the third side. Determine the sides of the triangle.
Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
Thunderstorm
The height of the pole before the storm is 10 m. After a storm, when they check it, they see that the ground from the pole blows part of the column. The distance from the pole is 3 meters. At how high was the pole broken? (In fact, the pole created a rect
Horizontally 6296
The camera with a viewing angle of 120 ° was placed horizontally on the observatory at 30 m. What length d of the section at the tower's base can the camera not capture?
A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm?
Concerning 6294
Two isosceles triangles have the same angle at the apex concerning the base. One has a 17 cm long arm and a 10 cm long base. The second has a base length of 8 cm. Determine the length of his arm.
Cylinder-shaped 6293
There is half a liter of water in the cylinder-shaped bottle. The bottle has an inner diameter of 10 cm. What is the area of the wetted part of the bottle?
Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area.
Regular quadrangular pyramid
The height of the regular quadrangular pyramid is 6 cm, and the length of the base is 4 cm. What is the angle between the ABV and BCV planes? ABCD is the base, V is the vertex.
Calculate 6275
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies.

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