Fractions + quadratic equation - practice problems - last page
Number of problems found: 38
- Water reservoir
The water reservoir is filled through one inlet 4 hours later than both together, then another inlet 9 hours later. For how long is filled by each separately? - Permutations 6450
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - Lengths 63174
The block has a square base of 36 dm2, and its height is 1/3 of the length of the base edge. Find the sum of the lengths of all edges of a block. - Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4
- Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - Determine 73454
The volume of the cut cone is V = 38000π cm³. The radius of the lower base is 10 cm larger than the radius of the upper base. Determine the radius of the base if height v = 60 cm. - Find all
Find all right-angled triangles whose side lengths form an arithmetic sequence. - Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10.
- Right triangle from axes
A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment? - Determine 82478
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line. - Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 370 cm. What are the measurements of its height and base? - Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder diagonal is 20 cm. Find the exact surface area of the top of the cylinder. - Cylinder 82991
Please express r from the formula for the surface of the cylinder.
- Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Magnitudes 64704
The triangle ABC determines the size of the sides a and b and the magnitudes of the interior angles β and γ, given c = 1.86 m, the line on the side c is 2.12 m, and the angle alpha is 40 ° 12 '. - A boy 2
A boy dropped a coin from the top of the dry well and heard a sound 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s. - BMI index
Calculate BMI (body mass index, an index indicating obesity, overweight, normal weight, underweight) man weighing m = 102 kg and height h = 159 cm. The index is calculated according to the equation (formula): BMI = (m)/(h²) With the BMI index is possible
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