Expression of a variable from the formula - high school - practice problems - last page
Number of problems found: 872
- Sequence
Between numbers, 11 and 115, insert n members of the arithmetic sequence whose sum is 2835. - Spherical segment
The spherical segment with height h=2 has a volume of V=112. Calculate the radius of the sphere of which is cut this segment. - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - Two cars
Two cars started against each other simultaneously to journey long 346 km. The first car went 53 km/h and the second 53 km/h. What distance will be between these cars 20 minutes before a meeting?
- Sea water
Mixing 62 kg of seawater with 84 kg rainwater is created water containing 3.1% salt. How much percent of seawater contains salt? - Cube in a sphere
The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube. - Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and area 415 cm². Calculate the volume of a cone. - Arc and segment
Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. The circle's radius is 11, and the corresponding angle is (2)/(12) π. - Heron backlaw
Calculate the missing side in a triangle with sides 25 and 13 and area 152.
- 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. - Right triangle
Calculate the missing side b and interior angles, perimeter, and area of a right triangle if a=10 cm and hypotenuse c = 16 cm.
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