Expression of a variable from the formula - math word problems - page 10 of 132
Number of problems found: 2638
- Circumference 82552
The isosceles trapezoid has a base length of 12 cm, a height of 4.5 cm, and a height of 5 cm. What is its circumference? - Calculate 82549
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid. - Quadratic equation - Viets
In the equation 3x²+bx+c=0, one root is x1 = -3/2. Determine the number c so that the number 4 is the root of the equation. Hint - use Viet's formulas. - Arithmetic sequence
Determine the sum of the first 12 terms of an AP (arithmetic sequence) if a4 is equal to 7 and a8 is equal to minus 1.
- Circumference 82489
An isosceles trapezoid has one base twice as short as the other. Its content is 42cm², and its height is 4cm. Calculate its circumference if you know that the arm is 5.3 cm long. - Perpendicular 82473
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk. - Cone-shaped 82466
The cone-shaped glass has a volume of 2.5 dl and a diameter of 13 cm. How much cocktail is left in the glass if the level only reaches half the height of the glass? - Calculate 82459
Calculate the depth of a pool that is 10 m long and 5 m wide if its volume is 65 m³ - Calculate 82458
Calculate the volume of a cube with a wall diagonal of u = 20 cm.
- Rectangle 82456
The sides of the rectangle are in the ratio 5 : 8. Its perimeter measures 208 cm. Determine the content of this rectangle. - Circular 82418
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius? - Right-angled 82416
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - Kilometers 82408
The longest Brazilian river, the Amazon, is ten times longer than the two Czech rivers, Vltava and Berounka. The ratio of the lengths of the Vltava and Berounka is 9:5. At the same time, the length ratio of the Vltava and Morava rivers is 5:4. How many ki - Determine 82394
Determine the equation of the circle that passes through the point M(-1,2) and N( 3,0) and whose center lies on the line p: x=-3+t, y=-1+t,
- Trapezoidal 82377
The trapezoidal garden has parallel sides of 14m and 20m, and its area is 136 square meters. How wide is the garden? - Determine 82341
Determine the equation of the circle that is the set of all points of the plane that are twice as far from the point [3,7] as they are from the point [0,1]. - Calculating 82316
From the formula for calculating thermal energy Q=m*c*t, express t and calculate by how many °C 2kg of water must be heated to increase its energy by 126kJ - Arithmetic 82287
If the arithmetic mean of the numbers a1, a2, a3, a4, and a5 is the number A, the arithmetic mean of the numbers a1, a2, a3, and a4 is the number B, then what is a5 equal to? - Calculate 82282
Calculate the sizes of the interior angles in the triangle whose vertices are the points marked by the numbers 1, 5, and 8 on the clock face.
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