# Expression of a variable from the formula - practice problems

#### Number of problems found: 2004

- Circumference 71304

The PQR triangle with a circumference of 25.5 cm has sides in a ratio of 4: 6: 5. Determine the lengths of its sides. - Parallelogram 71214

How big are the internal angles in the parallelogram when we know that the angle at one vertex is twice as large as the others? - Treadmill 70904

The runner circled the track 3 times. If he went around it once more, he would run 1km. What is the radius of the treadmill? - Perpendicular 70824

One perpendicular to the right triangle ABC has a length a = 14 cm, and a radius of the circle inscribed in this triangle r = 5 cm. Find the size of the diaphragm and its second perpendicular. - Calculate 70814

The length of the sides AB and AD of the rectangle ABCD are in the ratio 3: 4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle. - Calculate 70804

The garden has the shape of a right triangle and is fenced with a fence length of 364m. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Combinations 70714

If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have? - GP 3 members

Given that 49, X, 81 are consecutive terms of a geometric progression, find: A. The value of x B. Geometric mean - Calculate 70634

The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters. - Deviation 70434

Express the surface and volume of the cut cone using its side s if the following applies to the radii of the figures r1 and r2: r1> r2, r2 = s, and if the deviation of the side from the plane of the base is 60 °. - Capacity 70404

The box is 55 cm high and 40 cm wide. The capacity of the box is 180 liters. How much does the box length measure? And what is the capacity of the box in cm cubic? - Dimensions 70354

The volume of the cylinder is 5l, and the height is equal to half the diameter of the base. Find the dimensions of the cylinder. - Degrees 70334

What is the height of a diamond with a side 6 cm long if the angle formed by the sides is 78 degrees and 10 '? - Quadrilateral 70294

The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2: 4: 5. The surface of the prism is 57 cm². Calculate the volume. - Circumference 69934

If you know that the ratio of the circumference of the circle to the area of the circle is 4: 9 Then the diameter of the circle is: - Calculate 69244

The surface of the sphere is 624 cm². Calculate its radius. - Calculate 69104

The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen. - The average 5

The average of two numbers is 9.5. One of the numbers is 11. What is the value of the other number? - Length 26

Length of the median of the trapezoid is 10 inches. The median divides the trapezoid into two areas whose ratio is 3:5. The length of the shorter base is: - Corresponding 68604

The prism with a square base has a volume of 200 liters, and the length of its base edge is a decimeter. Write the height of the prism with the corresponding expression of the prism in decimetres.

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