Expression of a variable from formula - examples - page 27
Ditch profile is an isosceles trapezoid with bases of length 80m and 60m. The slope of the side wall of the ditch is 80°. Calculate the ditch depth.
- Symmetry by plane
Determine the coordinates of a image of point A (3, -4, -6) at a symmetry that is determined by the plane x-y-4z-13 = 0
- The garden
The garden has the shape of a rectangular trapezium. The bases have lengths of 27 meters and 36 meters, the trapezoid's height is 12 meters. Calculate how much fence will cost this garden if one meter costs 1.5 €?
- Simplify 2
Simplify expression: 5ab-7+3ba-9
- Evaluation of expressions
If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
- Non linear eqs
Solve the system of non-linear equations: 3x2-3x-y=-2 -6x2-x-y=-7
- 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?
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.
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
Solve for a specified variable: P=a+4b+3c, for a
- GP members
The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16?
- 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)
Rhomboid (parallelogram) has a longer side of 50 cm long. The size of its one height is four times the size of its second height. Calculate the length of the shorter side of this rhomboid in the centimeters.
- A rectangle
A rectangle has an area of 36 cm2. What could the length and width of rectangle be?
- Find the 2
Find the term independent of x in the expansion of (4x3+1/2x)8
- Expression with powers
If x-1/x=5, find the value of x4+1/x4
- Calculate 2
Calculate the largest angle of the triangle whose side are 5.2cm, 3.6cm, and 2.1cm
Three-quarters of boats are white, 1/7 are blue and 9 are red. How many boats do we have?
- Sides of triangle
Triangle circumference with two identical sides is 117cm. The third side measures 44cm. How many cms do you measure one of the same sides?