Rearrange variables - math word problems - page 56 of 147
Number of problems found: 2922
- Sum of GP members
Determine the sum of the GP 30, 6, 1.2, to 5 terms. What is the sum of all terms (to infinity)? - What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2? - GP - first term
Find the 1st term of the GP: ___, -6, 18, -54. - What are 2
What are the two more terms of the GP (geometric progression) a, ax, ax², ax³, __, __? - Geometric progression
If the 6th term of a GP is four and the 10th is 4/81, find common ratio r. - Direction vector
The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lie on the line p C) parametric equations - Cone roof cost
The roof of the castle tower has the shape of a cone with a base diameter of 12 m and a height of 8 m. How many euros will we pay to cover the roof if 1 m of square roofing costs 3.5 euros? - Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the segment's volume. What is the distance of the cutting plane from the center of the sphere? - Ladder
How long is a ladder that touches a wall 4 meters high and has a lower part 3 meters away from the wall? - Cyclist meeting
From Děčín and Ústí nad Labem, which are 24 km apart, two cyclists rode against each other at the same time. One drove at an average speed of 28 km/h, and the other, which left Ústí, drove at a speed of 20 km/h. How long did the cyclists meet, and at what - Candy remaining
Eve has four types of candies. He has ten strawberries, and of every other kind, he has candies. How many candies would she have left if she ate two sweets of each type? - Angle sum puzzle
Jerry had 4 angles written in his notebook, the sum of which was a right angle. The little sister rubberized one corner of it. Determine its size if the remaining angles remain written in the notebook: 12°34, 34°56, 56°9. - Barter exchange calculation
We can exchange three bananas for four oranges in a barter shop, and nine bananas are obtained for four pineapples. How many oranges do we get for one pineapple? - Space diagonal angles
Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28 cm, b = 45 cm, and c = 73 cm. Then, find the angle between the body diagonal and the plane of the base ABCD. - Insert 3
Insert five arithmetic progression members between -7 and 3/2. - A ladder
The ladder's bottom rung is 36 inches long, and the topmost rung is 24 inches long. If the ladder has 18 rungs, how many inches each other rung is shorter than the rung below it? How many feet of wood were used to make the rungs? - Negative difference Find four arithmetic progression members between 7 and -6.
- AP members What is the value of x2, x3, x4, x5…of the terms (of arithmetic progression) when x1 = 8 and x6 = 20?
- AP terms What are the four terms of arithmetic progression between numbers 4 and 19?
- Six-tonne truck
The platform of a six-tonne truck is 2.20 m wide and 4.20 m long; the side panels are 0.75 m high. How many cubic metres of gravel could be loaded onto the truck with the load levelled to the top of the side panels? How deep a layer of gravel can be loade
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