Rearrange variables - math word problems - page 56 of 145
Number of problems found: 2899
- 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
Eva 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
Jaro 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 = 28cm, b = 45cm, and c = 73cm. 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 a well-levelled load up to the height of the side panels? How deep a layer of gravel can - Complaints
The table is given: days; complaints 0-4; 2 5-9; 4 10-14; 8 15-19; 6 20-24; 4 25-29; 3 30-34; 3 1.1 What percentage of complaints were resolved within two weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal nu - Triangle calculation complete
Calculate the right triangle ABC, the perpendicular b = 43.5 cm of the hypotenuse c = 72.9 cm. Calculate: A hypotenuse segment cb, side a, a hypotenuse segment ca, and a height of triangle v - Grandmother - money
On a school trip, Šárka received pocket money from her grandmother for small expenses. On the first day, she spent 20% of it and was left with 320 CZK. Calculate the amount of Šárka's pocket money. - Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculate the size of the embankment section area. - The pyramid
The pyramid with a square base is 50 m high, and the sidewall height is 80 m. Find the edge of the base of the pyramid. - Pentagonal pyramid
Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm. - Block volume calculation
Block area: S = 376 cm² the sides are in the ratio a: b: c = 3:4:5 calculate its volume
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