Equations practice problems - page 246 of 251
Number of problems found: 5001
- Cuboid
A cuboid with edge a = 6 cm and space diagonal u = 31 cm has a volume of V = 900 cm³. Calculate the lengths of the other two edges. - Intersections
How many intersection points do two circles with radii 16 mm and 15 mm have if the distance between their centres is 16 mm? - Radius
Determine the radius of a circle whose circumference and area are numerically equal. - Motion
Cyclist started at 9:00 from point D to point E. After 10 minute, I followed him at the same speed as the second cyclist. Walker, which went from E to D, started at 9:25. After 40 minutes, he met the first cyclist and the second cyclist after the next 8 m - Proof PT
Can Pythagoras' theorem be easily proved using the Euclidean theorems? If so, do it. - Newton's task
Grass grows in the meadow equally fast and evenly. It is known that 35 cows graze meadow for 27 days and 39 cows by 24 days. How many cows graze the meadow for 6 days? - Motion2
A cyclist left town at 24 km/h. A car set off 0.5 hours later in the same direction and caught up with the cyclist in 58 minutes. How fast did the car travel, and how far from the town did it catch the cyclist? - Right
Determine the angles of a right triangle with hypotenuse c and legs a and b, if: 2a +5b = 5.283c - Euclid3
Calculate the height and sides of the right triangle if one leg is a = 100 km and the section of hypotenuse adjacent to the second leg cb = 14 km. - Euclid1
The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c? - Purchase
Three buyers paid €468 in total. The first paid 3 times as much as the second, and the third paid half as much again as the second. How many euros did each of them pay? - Circles
The areas of two circles are in the ratio 5:10. The larger circle has a diameter of 14. Calculate the radius of the smaller circle. - Balance
A rod 4.3 m long has weights of 9 kg and 15 kg hanging from its ends. Where should the fulcrum be placed (measured from the 9 kg weight) for the rod to be in balance? - Gear
Two meshing gears have a gear ratio of 1:2. The distance between their centres is 96 cm. What are the radii of each gear? - Fall
The body was thrown vertically upward at speed v0 = 39 m/s. Body height versus time describes equation h = v0 * t - (1)/(2) * 9.8 * t². What is the maximum height of body reach? - Cubes
The surface areas of two cubes, whose edges differ by 42 cm, differ by 16128 cm². Determine the edge length of each cube. - Resistors
Two resistors connected in parallel give a combined resistance of $R1 Ω, and connected in series give a combined resistance of $R2 Ω. Determine the resistance of each resistor. - Log
If log4 x+ log8 x = log_b x, what is b? - Web server
Calculate how many average minutes the web server is unavailable a year if the availability is 99%. - Crystal
The crystal grows every month at 1.2 permille of its mass. How many months does it take to develop from weight 177 g to 384 g?
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