Expression of a variable from formula - examples - page 28

1. 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.
2. Hyperbola equation Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10]
3. Non linear eqs Solve the system of non-linear equations: 3x2-3x-y=-2 -6x2-x-y=-7
4. Evaluation of expressions If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
5. 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.
6. 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?
7. GP members The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16?
8. Expression Solve for a specified variable: P=a+4b+3c, for a
9. 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
10. Area to perimeter Calculate circle circumference if its area is 254.34cm2
11. The volume 2 The volume of a cube is 27 cubic meters. Find the height of the cube.
12. Algebra X+y=5, find xy (find the product of x and y if x+y = 5)
13. A rectangle A rectangle has an area of 36 cm2. What could the length and width of rectangle be?
14. Calculate 3 Calculate the cube volume whose edge is 3x-1,3x-1,3x-1
15. Find the 2 Find the term independent of x in the expansion of (4x3+1/2x)8
16. Calculate 2 Calculate the largest angle of the triangle whose side are 5.2cm, 3.6cm, and 2.1cm
17. Expression with powers If x-1/x=5, find the value of x4+1/x4
18. 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.
19. 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?
20. 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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