Rearrange variables - math word problems - page 145 of 147

Number of problems found: 2922

R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter?
Cylinder - h
The cylinder volume is 140 cm³. The base radius is 7 cm. Calculate the height of the cylinder.
Two cars
Two cars started against each other simultaneously to journey long 230 km. The first car went 48 km/h and the second 56 km/h. What distance will be between these cars 20 minutes before a meeting?
Theater
Each row of the theater has 15 seats. The ticket to the first 7 rows is for 26 EUR. The next row is for 13 EUR. The theater was completely sold out. Revenue was 5850 EUR. How many rows are in the theater?
Sea water
Mixing 63 kg of seawater with 43 kg of rainwater produces water containing 2.7% salt. What percentage of salt does the seawater contain?
IS trapezoid
Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.
Sequence
In the arithmetic sequence, is a₁=-8, d=-3. Which member is equal to the number -155?
Rectangular cuboid
The rectangular cuboid has a surface area 4131 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
Cone
A circular cone of height 14 cm and volume 4396 cm³ is cut at one third of its height (measured from the base) by a plane parallel to the base. Calculate the radius and circumference of the circular cross-section.
Cube in a sphere
A cube is inscribed in a sphere with volume 8101 cm³. Determine the edge length of the cube.
Right Δ
A right triangle has one leg 54 cm long and a hypotenuse 90 cm long. Calculate the altitude from the right angle to the hypotenuse.
Radius
Determine the radius of a circle whose circumference and area are numerically equal.
Square 2
Points D[10,-8] and B[1,-10] are opposite vertices of square ABCD. Calculate the area of square ABCD.
Cone A2V
The lateral surface of a cone, when unrolled flat, forms a circular sector with a central angle of 126° and an area of 415 cm². Calculate the volume of the cone.
Right isosceles
Calculate the area of an isosceles right triangle whose perimeter is 26 cm.
Square diagonal
Calculate the length of the diagonal of a square with side a = 11 cm.
The pipeline
How long is a pipe with an outer diameter of 1.4 m if painting it consumed 35 kg of paint? One kilogram of paint covers 9 m².
Average
The arithmetic mean of two numbers is -79.1. One number is -49. Calculate the second number.
Arc and segment
Calculate the length of circular arc l, the area of the circular arc S₁, and the area of circular segment S₂. The circle's radius is 88, and the corresponding angle is (4)/(7) π.
Chord
In a circle with radius r = 60 cm, there is a chord that is 4 times longer than its distance from the centre. What is the length of the chord?

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