Equations with Fractions problems - page 44 of 45
Number of problems found: 893
- Cylinder 82991
Please express r from the formula for the surface of the cylinder.
- Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums?
- Faces diagonals
Find the cuboid volume if the cuboid's diagonals are x, y, and z (wall diagonals or three faces). Solve for x=1, y=1.1, z=1
- The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm, it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kilograms weigh a full and how many empty barrels?
- Konecara 6203
The trip to the top of Konecara and back lasted 5 hours and 17 minutes. We rested at the peaks for 32 minutes. The way back took 51 minutes less than the way there. How long did the trip to the top take?
- Tractors
Fields go plow two tractors with various performances. The first tractor plows the whole field in 20 hours. The second tractor plows the whole field 4 hours kratšie. How long does it take to plow the whole field with two tractors?
- 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.
- Average speed
When the bus stops at a bus stop, the average speed is 45 km/h. It would drive at 54 km/h if it did not stop. How many minutes of every hour does it spend at stops?
- Water reservoir
One drain hole emptied the water from the tank for 20 hours, with the second drain for 30 hours. How long will the water drain from this tank if we open two drains simultaneously?
- Drinking water
A man drinks a keg of water in 36 days, and a woman drinks in 65 days. How many days do they consume a keg together?
- Calculate 74024
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base.
- The probability
The probability that a life bulb will have a more than 682 hours lifetime is 0.9788. The probability that a bulb will have a more than 703 hours lifetime is 0.0051. Find the probability that a bulb will last for more than 648 hours.
- Acceleration of a train
The train passes 700 m, braking with an acceleration of -0.15 m/s². How long does it break, and what is the final speed of the train if the initial was 55 km/h?
- Cylinder-shaped 81512
A truncated cone-shaped part with base radii of 4 cm and 22 cm is to be recast into a cylinder-shaped part of the same height as the original part. What base radius will the new part have?
- Clock
How many times a day do hands on a clock overlap?
- The distance 2
The distance between the two ports M and N is 2100km. If two ships travel towards each other, with one ship leaving port M at 20km/h and at the same time another ship from port N traveling at 15km/h. (I) How long will it take the two ships to meet? (ii) h
- Spherical cap
From the sphere with a radius of 21 was a truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere?
- Temperature 7595
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the t
- Peroxide
How much-distilled water (in liters) must pharmacists pour into 700 ml of 43.2% solution of hydrogen peroxide to get 2.8% solution to gargle?
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