Rearrange variables - math word problems - page 105 of 147

Number of problems found: 2922

Hockey Player Average Age
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?
Triangle Sides Perimeter
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
Camera Blind Spot Length
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?
Triangle arm
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.
Wetted Bottle Area
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 8 cm. Calculate the circumference and the hexagon area.
Regular quadrangular pyramid
The height of the regular quadrilateral 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.
Cuboid and cube
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.
Body Diagonal of Block
Calculate the length of the space diagonal of a block whose dimensions are a = 5 cm, b = 6 cm, c = 10 cm.
A regular
A regular triangular prism with a base edge of 20 dm and a height of 30 dm is drawn. Find the volume of the prism and the area of the shell.
Prism and wall diagonal
The ABCDA'B'C'D' prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC' is 11.4 cm long. Calculate the surface area and volume of the prism.
Book pages
If we multiply the numbers of the last three pages of the book on pyramids, we get the product 23639616. How many pages does the book have if the last page's number is steam?
Garden measurements
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter and area of the rectangle.
Rectangle Perimeter and Area
Perimeter and area of the rectangle. Diagonal 260 m and one side 150 m
Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm² and the side length is 13 cm.
Three pumps
The water tank is emptied with the first pump in 6 hours and with the second pump in 2 hours. All three pumps had to be started at once to be emptied in 1 hour. How long will it take to empty the tank with only the third pump?

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