Isolating a variable in the formula - math word problems - page 143 of 145

Number of problems found: 2883

Height
Calculate the height of the equilateral triangle if its perimeter is 31.
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 rainwater is created water containing 2.7% salt. How much percent of seawater contains salt?
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
The circular cone of height 14 cm and volume 4396 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut.
Cube in a sphere
The cube is inscribed in a sphere with a volume 8101 cm³. Determine the length of the edges of a cube.
Right Δ
A right triangle has one leg 54 cm in length and the hypotenuse 90 cm in size. Calculate the triangle's height.
Radius
Determine the circle's radius if its perimeter and area are the same numbers.
Square 2
Points D[10,-8] and B[1,-10] are opposed vertices of the square ABCD. Calculate the area of the square ABCD.
Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and an area of 415 cm². Calculate the volume of a cone.
Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm.
Square diagonal
Calculate the length of the diagonal of the square with side a = 11 cm.
The pipeline
How long is the pipe with an outside diameter of 1.4 m if his coloring consumed 35 kg of color? 1 kg of color coverage is 9 m².
Average
The arithmetic mean of the 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.

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