Expression of a variable from the formula - practice problems
Work with mathematical expressions. Expressions are mathematical objects where some numbers are replaced by letters - variables. For example, the area of a circle is S = π r2, where r is a variable, the radius of the circle, and S is also a variable, the area. This is how we can describe the relationship between area and radius for all circles, generally. We can modify expressions, simplify, multiply, divide, add, etc. Expressing from a formula means putting some variable on the left side. For example, the radius of a circle r = √ (S/π). For completeness, let us add that the symbol π is a constant, Ludolf's number = 3.14159.... A constant is like a variable, but always with the same value.Number of problems found: 2762
- Angle of inclination
Find the angle of inclination of a ramp that rise for 80 cm and is 200 cm long. - Tower + pole
On the horizontal plane, there is a vertical tower with a flag pole on its top. At a point 9 m away from the foot if the tower, the angle of elevation of the top and bottom of the flag pole are 60°and 30° respectively. Find the height of the flag pole. - A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle. - Rhombus = area, diagonal
The area of a rhombus is 144 sq cm. One of its diagonals is twice the other. How long is the shorter diagonal?
- The rhombus (a,d) Find the area of a rhombus, one side of which measures 20 cm, and one diagonal 24 cm.
- The length 20
The length and breadth of a rectangular park are in the ratio 8:5. A path,1.5 m wide, running all around the outside of the park has an area of 594 sq m. Find the dimensions of the park. - A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field. - The average 17
The average monthly salary of 20 workers in an office is $4590 . If the manage's salary is added, the average salary becomes $ 4920 per month What's the manager's monthly salary? - Four numbers 3
What least number must be added to each of the numbers 6,15,20 and 43 to make them proportional?
- The angle 9
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increases to 60°. Find the height of the tower and the distance of the tower - Surface = volume
If the volume and the surface area of a sphere are numerically the same then find its radius. - GP - terms
Which term of the G.P., 2, 8, 32, ... up to n terms is 131072? - Triangle 90
Triangle made by 6 cm 4.5 cm and 7.5 cm. what angles does it make? - 765 chairs
765 chairs are arranged in rows in such a way that the number of chairs in each row is equal to the number of rows. How many chairs needs to be removed to complete this arrangement?
- Susan 5
Susan has a water tank in his back garden that can hold up to 750L in water. At the start of a rainy day (at 0:00) there is 165L in the tank, and after a heavy day’s rain (at 24:00) there is 201 L in the tank. Assuming that the rain fell consistently duri - The boat
A boatman goes 2 km against the stream in 40 minutes and returns to the same spot in 30 minutes. What is his rate of rowing in still water? - A plane 3
A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it has to increase the speed by 250 km/hr from the usual speed. Find its usual speed. - Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square. - Expression - two variables
The formula with two variables is given: y=5*x+38. Solve for x.
Two cubes each of volume 125 cm³ are joined end to end. Find the surface area of the resulting cuboid .Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
