Expression of a variable from the formula - high school - practice problems - page 23 of 44
Number of problems found: 872
- Quadrilateral 8221
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm - Constructed 8161
The perimeter of the right triangle is 18 cm. The sum of the areas of the squares constructed above its three sides is 128cm². What is the area of the triangle? - Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14 - Spherical cap 4
What is the surface area of a spherical cap, the base diameter of 20 m, and the height of 2.5 m? Calculate using the formula. - Determine 8010
Determine the cone's base's radius if its shell develops into a circular section with radius "s" = 10 and center angle x = 60 °. r = ?, o =? - Spherical cap
Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which we cut the spherical cap. - Equilibrium 7990
At the end of one arm of the equilibrium scales, which are in equilibrium, a lead body with a volume V1 is suspended in the air. At the end of the other arm is an aluminum body with a volume of V2. The balance arms have sizes l1 and l2, lead density h1 = - Block-shaped 7976
A block-shaped pool with a volume of 200m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Equilateral 7962
After a long dinner, inside a lounge in the shape of a square ABCD, a drunken shopper E lies in such a way that the triangle DEC is equilateral. Spy F lies on the edge of BC, with |EB|=|EF|. What is the size of the angle CEF? - Hyperbola equation
Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10] - Rectangle
There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle. - Rotating 7947
In the rotating cone = 100π S rotating cone = 90π v =? r =? - Arithmetic 7917
The arithmetic sequence is given: Sn = 222, n = 12, a1 = 2. Determine d, a12. - Parallelogram
The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area? - Four-sided 7910
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8m and a base edge of 4m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof? - Completing square
Solve the quadratic equation: m2=4m+20 using completing the square method - 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 a depth angle of 30° 30 '. Calculate the length of the bridge. - Perimeter 7882
The diagonals of the diamond are 2.4 dm and 1.8 dm long. What is the perimeter of this diamond? - Difference 7873
Find the first term and the difference of the sequence for which it holds: a1 + a6 = 39; a10 - a4 = 18 - Described 7872
In the KLM isosceles triangle, the KL base is 24 cm long, and the arm measures 15 cm. What is the radius of the circle described by this triangle?
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