Square root + expression of a variable from the formula - practice problems - page 2 of 20
Number of problems found: 392
- Function: 83053
The inverse function to the function f(x) = √(x-3) for x ≥ 3 is the function: - Cylinder 82991
Please express r from the formula for the surface of the cylinder. - Diagonals 82850
How do I find the diagonals of a rhombus if its perimeter is 80dm and one diagonal is 2x larger than the other? - Determine 82724
A right triangle has an area of 36 cm². A square is placed in it so that two sides of the square are parts of two sides of a triangle, and one vertex of the square is in a third of the longest side. Determine the area of this square.
- Construction 82703
The plot of land for constructing family houses is shaped like a rectangular trapezoid with bases of 21m and 11.2m. For CZK 2,500 per square meter, the value of the land is calculated at CZK 1,352,400. What would be the length of wire mesh needed to fence - Parallelogram 82695
Given is the parallelogram KLMN, in which we know the side sizes/KL/ = a = 84.5 cm, /KN/ = 47.8 cm, and the angle size at the vertex K 56°40'. Calculate the size of the diagonals. - Calculate 82690
A cone of rotation with a height of 18 cm and side length s = 45 cm is given. Calculate the surface area and volume. - Parallelogram 82626
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer. - Cube-shaped 82606
The paper box is cube-shaped. 2400 cm² was used for its production. Bends for gluing the walls are omitted. What is the volume of the box?
- Calculate 82567
The volume of a cuboid with a square base is 64 cm3, and the body diagonal deviation from the base's plane is 45 degrees. Calculate its surface area. - 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? - 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. - 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. - Calculate 82458
Calculate the volume of a cube with a wall diagonal of u = 20 cm.
- Circular 82418
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius? - 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, - Multiplied 82243
Zuzka divided 52 by 2 8 times and multiplied by 2 6 times. What number did she get? - Calculate 82144
Calculate the height of side b (v_b) of triangle ABC with vertices A[4;1;3] B[2;3;3] and C[1;1;3]. - Calculate 82077
The surface of the cube is 150 dm². Calculate its volume.
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