Isolating a variable in the formula - math word problems - page 82 of 144
Number of problems found: 2866
- GP - three members
The second and third of a geometric progression are 24 and 12(c+1), respectively, given that the sum of the first three terms of progression is 76. determine the value of c. - Accelerated motion - mechanics
With a total weight of 3.6 t, the delivery truck accelerates from 76km/h to 130km/h in the 0.286 km long way. How much was the force needed to achieve this acceleration? - Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle. - Isosceles triangle 9
There is an isosceles triangle ABC where AB= AC. The perimeter is 64cm, and the altitude is 24cm. Find the area of the isosceles triangle. - Working alone
Tom and Chandri are doing household chores. Chandri can do the work twice as fast as Tom. If they work together, they can finish the work in 5 hours. How long does it take Tom to work alone to do the same work? - Function 8437
Express the volume of a cube as a function of its edge size. - ABCDEFGHIJKL 8426
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees.
- Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes? - The perimeter 3
The perimeter of a rectangle is 35 cm. The length ratio to its width is 3:2. Calculate the rectangle's dimensions. - Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - Diagonals 8397
Does a hexagon have 275 diagonals? - Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy? - Lateral surface area
The ratio of the area of the base of the rotary cone to its lateral surface area is 3:5. Calculate the surface and volume of the cone if its height v = 4 cm. - A kite
ABCD is a kite. Angle OBC = 20° and angle OCD = 35°. O is the intersection of diagonals. Find angle ABC, angle ADC, and angle BAD. - Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes.
- Rectangular trapezoid
In a rectangular trapezoid ABCD with right angles at vertices A and D with sides a = 12cm, b = 13cm, c = 7cm. Find the angles beta and gamma and height v. - Motorcyclist 8375
The distance from point A to point B is 40 km. And a cyclist left at 9:00 a.m. at a speed of 20 km/h. At 9:30 a.m., a motorcyclist drove against him from place B at 40 km/h. At what time and at what distance from A do they meet? - How high
How high does a prism with base dimensions of 1.7 dm and 5 dm reach if 1032 dm cubic will fit? - Ground 8370
The arch has a radius of 3.3 m, a span of 3.25 m, and a height of 20 cm above the ground. What is the length of the arc to reach the ground? - A photograph
A photograph will stick to a white square letter with an x cm length. The photo is 3/4 x cm long and 20 cm wide than the width of the paper. The surface of the remaining paper surrounding the photograph is 990 cm². Find the size of the paper and the photo
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