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: 3x2-3x-y=-2 -6x2-x-y=-7
- Evaluation of expressions
If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
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?
Solve for a specified variable: P=a+4b+3c, for a
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.
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 cm2. 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 (4x3+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 x4+1/x4
- 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.
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.