Isolating a variable in the formula - math word problems - page 13 of 145

Number of problems found: 2890

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 cm. 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.
A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 24 m 0.8 m and 0.5 m. What will be the volume of a chest in the shape of a cube with the same surface area?
Isosceles
Isosceles trapezoid ABCD has a perimeter of 39 cm. The base AB is 7 cm longer than the base CD and the arm is 2 cm shorter than the base CD. Calculate the length of the base CD.
Express the unknown
Calculate the unknown from the formula p=F: S Express the unknown F
Determine the area
Determine the area of the trapezoid ABCD, in which the following holds: AB= 6cm, Area of triangle ABC= 15 cm², area of triangle BCD= 20 cm², AB||CD.
Average 110
The average of five numbers is 1.3 their sum is? The arithmetic mean of the numbers 0.04; 0.014; 0.21 is? The arithmetic mean of four decimal numbers is 2.5. Three of these numbers are 1.8; 0.65; 3.1 the fourth number is?
In an electrical 3
In an electrical circuit, we have R1=4000 Ohms, R2=8000 Ohms, and R3=6000 Ohms connected in series. The power supply has a voltage of 100 V. Calculate the voltage values across R1, R2, and R3.
RR trapezoid
Given an isosceles trapezoid ABCD with bases |AB| = 36 m, |CD| = 200 dm, and |BC| = 10m. Calculate the area and perimeter of the trapezoid and the length of the diagonal AC
Dependent variables
A printer prints k sheets in n seconds ( k, n ϵ N ). Express the number of sheets that the printer prints in 5 minutes in terms of k and n.

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