Expression of a variable from the formula - high school - practice problems - page 22 of 44
Number of problems found: 872
- Diagonals 8397
Does a hexagon have 275 diagonals? - Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy? - Lateral surface area
The ratio of the area of the base of the rotary cone to its lateral surface area is 3:5. Calculate the surface and volume of the cone if its height v = 4 cm. - Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes.
- Ground 8370
The arch has a radius of 3.3 m, a span of 3.25 m, and a height of 20 cm above the ground. What is the length of the arc to reach the ground? - A photograph
A photograph will stick to a white square letter with an x cm length. The photo is 3/4 x cm long and 20 cm wide than the width of the paper. The surface of the remaining paper surrounding the photograph is 990 cm². Find the size of the paper and the photo - Rectangular garden 2
A farmer bought 600 m of wire for the fence. He wants to use it to besiege a rectangular garden with a surface of 16875 m². Calculate the size of the garden. - Increased 8350
Write with: (a) the number x increased by half (b) the number y reduced by 20 c) a quarter of the sum of the numbers x and y (d) a figure 20% greater than e) 40% of number x - RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm.
- Calculate 8326
Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm. - Centimeter 8324
Calculate the radius of a sphere with a volume of 6.2 dm³. Round to the nearest centimeter. - Roof angle
The house's roof has the shape of an isosceles triangle with arms 4 m long and the size of the base 6 m. How big an angle alpha does its roof make? - Quadrilateral 8304
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area? - Perimeter of RT
Find the circumference of the rectangular triangle if the sum of its legs is 22.5 cm and its area is 62.5 cm².
- Bonuses
Five company employees were paid bonuses, so each successor received 550 USD less than the previous employee. How much did everyone get if a total of USD 11,000 has paid? - Three-walled 8272
I have only entered the height of a regular three-walled pyramid h = 10 cm. How do I calculate its edge length? - Former price
The price of an article is cut by 10% to restore it to its former value. By what percent the new price must be increased? - Calculate 8259
Calculate the sum of all 4-digit odd natural numbers. - Calculate 8252
Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4cm.
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