Rearrange variables - math word problems - page 112 of 147
Number of problems found: 2922
- Cube edge
The edge of the cube has a length a = 1. Find the length of the edge of a cube that has a double surface. - Cube changes
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%? - Cube edge The cube has a surface area of 110.6 cm². Calculate the length of its edge.
- Speed increase
The tourist travels at an average speed of 3.5 km/h. The last train takes him 50 minutes. If he still has 5 km to go to the station, how much does he have to increase his speed? - Course dimensions
The rectangular course is 12 m longer than its width. Suppose its length increases by 10 m and its area increases by 600 square meters. What are its dimensions? - Triangle center
The height in the equilateral triangle ABC measures the square root of 3 cm. What is the length of the center bar of this triangle? - Triangle RT - land
The land in the shape of a right triangle has an area of 96 m². How many meters of mesh do we need to fence if one of its sides is 12 meters long? - Orange colour
For the painter to get orange, he has to mix yellow and red in a ratio of 3:4. If he used 8 liters of red, how many liters of orange did he mix? - Trapezoid Height from Area
The bases of the trapezoid are 12 cm and 8 cm long. The area of this trapezoid is 40 cm². What is its height? - Diamond diagonal
The pool has the shape of a rhombus with a side 20 m long. One diagonal is 32 meters. What is the second diagonal? - Cube measurements
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Daughter and father
"My daughter will be x years old in x²," said Elise's father in 1991 at her birthday party. a) When will the said event occur, and how old will Elise be at that time? b) In what year was Elise born? c) How old was Elise in 1991? - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6 cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Mowing time
Three gardeners mow the meadow for a while. Four gardeners can do it half an hour earlier. How long will it take five gardeners to do it? - Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube at a scale of 1:2. - Geometric Sequence Quotient Sum
Calculate the quotient of the geometric sequence if the sum of the first two terms equals 1.1 and a6 = 10000. A quotient is a natural number. - Cube measurements Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters.
- Theatre performances
A total of 15,744 CZK was collected in admission fees for three theatre performances. The revenue from the second performance was 20% higher than the revenue from the first performance, and the revenue from the third performance was 10% lower than the rev - Perpendicular sides
In a right triangle, one perpendicular is 1 m shorter than the hypotenuse. The other perpendicular is 2 m shorter than the hypotenuse. Find the lengths of all sides of the triangle. - Geometric Progression Term Value
Calculate a3 GP if you know that q = 4 and a1 + a2 + a3 = 89.25 and a4 = 272.
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