Isolating a variable in the formula - math word problems - page 142 of 145

Number of problems found: 2890

Sequence
Find the common ratio of the sequence -1, 3, -9, 27, -81. Please ratio writes as a decimal number rounded to a tenth.
Cone and the ratio
The rotational cone has a height of 59 cm, and the ratio of the base surface to the lateral surface is 10: 12. Calculate the surface of the base and the lateral surface.
Crystal water
The chemist wanted to check the water content of the crystallization of chromic potassium alum K₂SO₄ * Cr₂ (SO₄) 3 * 24 H₂O, which took a long time in the laboratory. From 96.8 g of K₂SO
Garden
Father dug up the garden in 19 few hours. Son in 23 hours. How many hours does it take to dig up the garden together?
RT 11
Calculate the area of the right triangle if its perimeter is p = 45 m and one cathetus is 20 m long.
Liters in cylinder
Determine the height at which level 18 liters of water in a cylindrical container having a bottom diameter 24 cm.
Rhombus diagonal
The area of a rhombus is 790. One diagonal measures 45. Find the length of the second diagonal.
Flowerbed 2
Around the square flower bed in a park is a sidewalk about 1.3 m wide. The area of this sidewalk is 246 m². What is the area of the flowerbed?
Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 2:7. The area of triangle ACD is 140 dm². What is the area of trapezoid ABCD?
Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1471 cm³ and a base radii r₁ = 6.1 cm and r₂ = 7.9 cm.
Ethnicity
The share of ethnicity XY is 73%, which is 1/5 more than in the prewar period. What was the share of that ethnicity in the prewar period?
Fire tank
The whole fire tank was discharged once in 6 days, first out by a second in $n day. Once firefighters pumped out 4/5 of water from the tank, they let the water flow out both drains. How long does it take to empty the tank?
Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism?
Ice cream in cone
The ice cream cone with a diameter of 5.4 cm is 1.2 dl of ice cream. Calculate the depth of the cone.
Arc
The length of the circle is 13, and the arc length of the circle is 5. What is the magnitude of the angle of this arc?
7 triangle
The triangle area is 86.7 cm². find the side length if appropriate height h = 36.15 cm.
Water tank
The water tank-shaped cuboid has a width of 2.3 m and a length twice as large. If water flows into 19 liters of water per second during 52 minutes, how high will it reach?
Right angled
We built a square with the same area as the right triangle with legs 17 cm and 17 cm. How long will be the side of the square?
Boat
A force of 240 kg (2400 N) is required to pull a boat up a ramp inclined at 10° with horizontal. How much does the boat weigh?
Tiles
How many 18 cm square tiles will cover a floor 8.46 m by 5.76 m?

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