Expression of a variable from the formula + length - practice problems
Number of problems found: 653
- Angle of inclination
Find the angle of inclination of a ramp that rise for 80 cm and is 200 cm long.
- 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.
- 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?
- 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.
- Angle of elevation
From a point A on the ground, the angle of elevation of the top of a 20 m tall of a building is 45°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from A is 60°. Find the length of the flagstaff and th
- A long train
A train passes a standing man in 6 sec and 210 m long platform in 16 s . Find the length and the speed of the train.
- Two men 2
Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 45°, respectively. If the height of the tower is 50 m, find the distance between the two men.
- An iron rod
If 22.5 meters of a uniform iron rod weighs 85.5 kg, what will the length of 22.8 kilograms of the same rod?
- Parallel sides
Area of trapezium is 45 sq cm and sum of the length of parallel sides is 15 cm. Find height of the trapezium.
- PQR - Euclid
Find the length of line segment PR - leg of the right triangle PQR. PQ=17 cm PS=15 cm QS=8 cm; Point S is the height touch point with a hypotenuse of the RQ.
- A rectangle 14
A rectangle is 8 cm long and 5 cm wide. Its perimeter is doubled when each of its sides is increased by x cm. From an equation in x, find the new length of the rectangle.
- The area 5
The area of a rhombus is 144 sq cm. If one of the diagonals is double the other, find the length of the diagonals.
- An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side.
- Parallel tracks
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in
- A tree 2
A tree is broken at a height of 6 m from the ground and its top touches the ground at a distance of 8 m from the base of the tree. Find the original height of the tree.
- NYC block
Bijan wants to go running during his family's vacation to New York City. To do so, he will run a neighborhood block 20 times. Bijan runs a total of 8 miles. The block has a length of 3/20 miles. Use the formula for the perimeter of the neighborhood block
- Perimeter - general
Solve: the perimeter of a triangle is 4x+1.if two of it side are(x+2) and (x-1). Find the third side.
- A rectangle 13
A rectangle has an area of 15 square inches. What is the unknown side length if one side length is 1 2/3 inches wide?
- The triangle 6
The triangle has an area of 7 ⅞ cm² and a base of 5 ¼ cm. What is the length of h? Explain your reasoning.
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