Square root - practice problems - page 9 of 56
Number of problems found: 1120
- Diagonal of a cube
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,
- Meridian ground speed
The plane flies south at an average speed of 190 km/h, and the wind blows from west to east at a speed of 20 m/s. How fast and in what direction (relative to the meridian) will the plane move relative to the ground?
- Multiply x times
Susan divided the number 52 by the number 2 eight times and multiplied it by the number 2 six times. What number did she get?
- Hypotenuse and legs
A right triangle with hypotenuse c=25 dm is given. Calculate the length of the unknown side, given: side a=15 dm. Find the area of this triangle. Sketch the triangle and describe all its vertices and sides correctly.
- Quadrilateral 82146
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base.
- 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].
- Precisely 82088
A regular helix is drawn on the shell of the cylinder such that it wraps around the cylinder precisely three times (that is, the point where it touches the upper base is exactly above the point where it touches the lower base). If the diameter of the cyli
- Calculate 82077
The surface of the cube is 150 dm². Calculate its volume.
- Calculate 82073
Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm.
- Javelin throwers
Javelin throwers Anna and Barbora have average throw lengths of 67 m and 75 m, respectively, and standard deviations of 6 m and 3 m, respectively. Assume that the throw lengths have independent normal distributions. Calculate the probability that Anna thr
- Quadrilateral 82066
Calculate the volume of a regular quadrilateral pyramid with a square base of side a = 3 cm and side length b = 7 cm.
- Closest point
On the line p: 2x + y + 1 = 0, find the point A ∈ p that is closest to the point P =(1,0)
- Through 82036
5 m³ of water flows through the pipe in 1 second at a maximum speed of 2 m/s. What is the pipe radius?
- Principal 82010
Calculate the interest rate if the principal amount of 500 is 5 euros in interest in 5 months.
- Increases 81991
What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours?
- Right-angled 81989
Using Euclid's Theorems and Pythagoras' Theorem, complete the following parameters describing a right-angled triangle ABC with a right angle at vertex C if we know b=10, cb=8
- Staircase 81963
How long is the staircase railing with 17 steps if the step is 32 cm deep and 14.5 cm high? The last step does not count.
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