Isolating a variable in the formula - math word problems - page 12 of 144
Number of problems found: 2866
- Vegetables - slime
A private vegetable grower harvests in 12 hours, and his son in 10 hours. How long will they harvest together?
- GP - free
For a geometric sequence, an interesting relationship between the first and third terms applies: a1-a3=-1.5 a3-a1=1.5 Calculate the quotient q and the first term a1.
- 4B - truncated pyramid
Calculate the volume of a regular truncated quadrilateral pyramid if the base edges are 10cm and 4cm and the height of the side wall is 5cm.
- From a full
From a full cylindrical glass with a diameter of 8 cm, we poured 1 deciliter of water. By how many centimeters did the water level in the glass drop?
- RRL Basics
What is the length of the smaller base of an isosceles trapezoid and the height, if a = 9 dm, the side is 6 dm and the angle ACB is 90 degrees?
- Parallelogram 44
Parallelogram ABCD has an area of 32 cm2, lABl=8cm, lBCl=5cm. Calculate the sizes of its interior angles.
- In a regular 5
In a regular triangular prism ABCV, the deviation of the side wall and the base plane is α = 45°. Determine the deviation of the side edge and the base plane.
- Between terminals
Between terminals of a 220V resistor. A current of 220mA flows through the resistor. Determine the current that flows through the resistor if we connect it to the terminal of a 24 V voltage source.
- The tower
From a window 8 m above the horizontal plane, we can see the top of the tower at an elevation angle of 53 degrees 20 minutes, and its base at an angle of 14 degrees 15 minutes. How high is the tower?
- On a mass
The forces F1, and F2 with magnitudes of 40N act on a mass point M. Their resultant has a magnitude of 60N. Determine the angle that the forces F1 and F2 make.
- Base RR odd
The base of the prism is an isosceles trapezoid ABCD with bases AB = 12 cm, and CD = 9 cm. The angle at vertex B is 48° 10'. Determine the volume and area of the prism if its height is 35 cm.
- Parallelogram 43
A parallelogram has a perimeter of 20.4 m. One of its sides is 5.5 cm long. Calculate the length of the other side.
- Tanker 3
A gasoline tank weighs 4500kg. If we pump 30% of the gasoline out of the tank, it will weigh 3900kg. How many kilograms does an empty tank weigh?
- RR trapezoid 12
In an isosceles trapezoid ABCD, calculate the missing lengths of the sides when a=46cm, b=85cm height=84cm.
- Area 51
The area of the triangle is 54.39, alpha is 32 °, and gamma is 144 °.
- Determine the surface area
Find the surface area of a cone of height 30 cm whose side makes an angle of 60° with the base plane.
- Calculate
A rotating cone has a diameter of 16 cm and a side of 10 cm. Calculate the surface area and volume of the solid.
- Observation tower
The observation tower is covered with a roof in the shape of a regular quadrangular pyramid with a base edge of 8 m and a height of 6 m. 60% of the roofing needs to be replaced. How many m² do you need to buy?
- Cube 53
A cuboid with a volume of 60 cm³ has a base with dimensions of 3 cm and 5 cm. Calculate the height of the cuboid in centimeters.
- Parallelogram - ratio
The lengths of the adjacent sides of a parallelogram are in the ratio 8:3. The shorter side is 4.2 cm long. Calculate the perimeter of the parallelogram.
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