Isolating a variable in the formula - math word problems - page 52 of 145

Number of problems found: 2883

The base 2
The base diameter of a right cone is 16cm, and its slant height is 12cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, and convert it to 3 significant figures. Take pi =3.14
Spherical section cut
Find the volume of a spherical section if the radius of its base is 10 cm and the magnitude of the central angle ω = 120 degrees.
Isosceles 37621
In the isosceles trapezoid ABCD, its bases AB = 20cm, CD = 12cm and arms AD = BC = 8cm are given. Specify its height and alpha angle at vertex A
Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in percents.
Apprentice
The master helped the apprentice complete part of the task, the apprentice completed the rest himself. It turned out that the time needed to complete the task was three times shorter than if the apprentice had completed the task himself. How many times mo
Calculate 37491
Calculate the edge size of a 48 liter cube.
Products 37321
Eight workers produce 2048 products per shift. In how many hours would ten workers produce the same amount of products? (shift is 8 hours)
Prism height
What is the height of a prism with a right triangle base and sides of 6 cm and 9 cm? The hypotenuse is 10.8 cm long. The volume of the prism is 58 cm³. Calculate its surface area.
The notebook
The notebook cost 10.50 euros after rising by 40%. How much would it cost if it increased in price by only 20% instead of 40%?
Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was.
Invoiced 37073
The company paid a penalty of 7.5 ‰ for the late invoice payment. How big was the invoiced amount when the company had to pay a fine of 3441 CZK?
Common difference
The 4th term of an arithmetic progression is 6. Find the common difference if the sum of the 8th and 9th terms is -72.
Mappings of complex numbers
Find the images of the following points under mappings: z=3-2j w=2zj+j-1
Calculation 36671
A boy leaves school at a speed of 1 m/s. At the moment, when he is 100m away from the school, a classmate on a bicycle comes behind him at a speed of 5m/s. How long and how far does the boy run from school? Solve by calculation and graphically.
Annual increase
The number of cars produced increased from 45,000 to 47,000 in 3 years. Calculate the average annual increase in cars in%.
The midpoint
The midpoint of (2, 5) and (8, y) is (5, -1). Find the line equation in slope-intercept form.
Nationality 36433
There are d children in the class. Three children are of Vietnamese nationality m of Hungarian and Czech children. The remaining children have Slovak nationality. How many are there?
Right triangle
A circle with a radius of 5 cm is described in a right triangle with a 6 cm leg. What is the height at the hypotenuse of this triangle?
Diameter 36363
With a single pull, the wire diameter is reduced by 10%. How many draws are required to minimize the wire diameter from 5 mm to less than half?
Inner angles
The magnitude of the internal angle at the central vertex C of the isosceles triangle ABC is 72°. The line p, parallel to the base of this triangle, divides the triangle into a trapezoid and a smaller triangle. How big are the inner angles of the trapezoi

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