# Expression of a variable from formula - examples - page 28

- Balloon and bridge

From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at depth angle 30° 30 '. Calculate the length of the bridge. - Hyperbola equation

Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10] - Non linear eqs

Solve the system of non-linear equations: 3x^{2}-3x-y=-2 -6x^{2}-x-y=-7 - Evaluation of expressions

If a^{2}-3a+1=0, find (i)a^{2}+1/a^{2}(ii) a^{3}+1/a^{3} - Hectoliters

How deep is the pool if there are 2025 hectoliters of water and the bottom dimensions are a = 15 meters b = 7,5 meters and the water level is up to 9/10 (nine-tenths) of height. - Perimeter of a rectangle

If the perimeter of a rectangle is 114 meters and the length is twice the width plus 6 meters, what are the length and width? - GP members

The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16? - Expression

Solve for a specified variable: P=a+4b+3c, for a - Twenty

Twenty rabbits are put in 4 cells so that there are different number of rabbits in each cell contains at least 3 rabbits. What is the largest possible number of rabbits in one cell - Area to perimeter

Calculate circle circumference if its area is 254.34cm2 - The volume 2

The volume of a cube is 27 cubic meters. Find the height of the cube. - Algebra

X+y=5, find xy (find the product of x and y if x+y = 5) - A rectangle

A rectangle has an area of 36 cm^{2}. What could the length and width of rectangle be? - Calculate 3

Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Find the 2

Find the term independent of x in the expansion of (4x^{3}+1/2x)^{8} - Calculate 2

Calculate the largest angle of the triangle whose side are 5.2cm, 3.6cm, and 2.1cm - Expression with powers

If x-1/x=5, find the value of x^{4}+1/x^{4} - Rectangular field

A rectangular field has a diagonal of length 169m. If the length and width are in the ratio 12:5. Find the dimensions of the field, the perimeter of the field and the area of the field. - Brakes

The braking efficiency of a passenger car is required to stop at 12.5 m at an initial speed of 40 km/h. What is the acceleration braking by brakes? - Pile of sand

A large pile of sand has been dumped into a conical pile in a warehouse. The slant height of the pile is 20 feet. The diameter of the base of the sand pile is 31 feet. Find the volume of the pile of sand.

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