Expression of a variable from the formula - high school - practice problems - page 43 of 44
Number of problems found: 872
- Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r. - Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 12 cm and u2 = 15 cm. Prism height is twice the base edge length. - Hollow sphere
The steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³ - Pot
Calculate the height of a 3-liter pot with a shaped cylinder with a diameter of 10 cm.
- Surface area
The volume of a cone is 1000 cm³, and the area of the axis cut is 100 cm². Calculate the surface area of the cone. - Swing
A child weighing 12 kg is sitting on a swing at 130 cm from the rotation axis. How far away from the rotation (center) axis must he sit down his mother weighs 57 kg if she wants to be swung in balance. - Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75% length of the second leg, and its area is 24 cm². - Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4 and the area of the cylinder jacket is 24 dm². - Triangular pyramid
It is given perpendicular regular triangular pyramid: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)?
- Median
In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°. Calculate the length of the median to side b (tb). - Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs. - ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 377 mm. - Cathethus and the inscribed circle
A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle. - Sequence
Find the common ratio of the sequence -1, 3, -9, 27, -81. Please ratio writes as a decimal number rounded to a tenth.
- Crystal water
The chemist wanted to check the content of water of crystallization of chromic potassium alum K2SO4 * Cr2 (SO4) 3 * 24 H2O, which took a long time in the laboratory. From 96.8 g of K2SO - RT 11
Calculate the area of the right triangle if its perimeter is p = 45 m and one cathetus is 20 m long. - Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1354 cm³ and a base radii r1 = 9.1 cm and r2 = 5.4 cm. - Fire tank
The whole fire tank was discharged once in 5 days by first out by a second in $n day. Once firefighters pumped out 6/13 of water out from the tank and then let the water flow out both drains. How long does it take empty the tank? - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism?
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