Isolating a variable in the formula - math word problems - last page
Number of problems found: 918
- Flowerbed 2
Around the square flower bed in a park is a sidewalk about 2 m wide. The area of this sidewalk is 243 m². What is the area of the flowerbed? - Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD? - Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1354 cm³ and a base radii r1 = 9.1 cm and r2 = 5.4 cm. - Ethnicity
The share of ethnicity XY is 26%, which is 1/9 more than in the prewar period. What was the share of that ethnicity in the prewar period?
- Fire tank
The whole fire tank was discharged once in 4 days, first out by a second in $n day. Once firefighters pumped out 4/16 of water from the tank, they let the water flow out both drains. How long does it take to empty the tank? - Ice cream in cone
The ice cream cone with a diameter of 4.8 cm is 0.5 dl of ice cream. Calculate the depth of the cone. - Spherical segment
The spherical segment with height h=2 has a volume of V=112. Calculate the radius of the sphere which is cut in this segment. - 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? - 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. - 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 75 cm in length and the hypotenuse 85 cm in size. Calculate the triangle's height. - 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.
- Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord? - Heron backlaw
Calculate the unknown side in a triangle with sides 39 and 38 and area 438.6. - Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population? - Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
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