Grade - math word problems - page 756 of 968

Number of problems found: 19341

Cuboids
Two separate cuboids with different orientations are in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633)
Rhombus and diagonals
The rhombus area is 150 cm², and the ratio of the diagonals is 3:4. Calculate the length of its height.
Material transport
Two trucks were supposed to load the building materials in 10 days. After 6 days of work, the first car broke down, and the second one carried building materials for another 9 days. How many days would the first and second cars take the building materials
Square diagonal
Calculate the diagonal of a square if its area is equal to 169 square centimeters.
Majorette rows
During a public performance, majorettes line up in three-step, four-step, six-step, and eight-step. All rows are full with each grouping, and no majorette is promoted. Determine the smallest possible number of majorettes for which a performance can be mad
Image arrangement
Our task is to save the rectangular images with dimensions of 105 mm and 42 mm so that we cover the smallest square. What will be its size, and how many pictures do we need?
Points in plane
The plane is given 12 points, 5 of which are located on a straight line. How many different lines could be drawn from these points?
Apples 2
Dried apples contain 15% water. Fresh apples contain 80% water. How many kilograms of apples must we buy to get 3 kg of dried apples?
Fuel economy
How many kilometers is sufficient petrol in the cylinder fuel tank with a diameter of 40 cm and the base of tank length of 1 m when it is filled to 60%, and if the car consumes 15 liters per 100 km?
Family
The son is 3/5 smaller than the mother, who is 99 cm higher than the son. Thus, the mother is 3/5 taller than the son.
Travel speed
On a map at a scale of 1:400,000, the distance between Letohrad and Prague is 4.5 cm. What speed does Dad have to go to be in Prague at 9 o'clock when he leaves at 6 o'clock, 40 minutes?
Toy store
In the toy department of the store, 28 dolls were exposed. Nineteen dolls were blondes or could speak, twelve were blondes, and 14 could speak. How many blondes could speak in the toy department? How many blondes could not speak?
Diagonal of square
Calculate the side of a square when its diagonal is 10 cm.
Christmas
Father said, " Exactly after 56 hours, we will sit down at the Christmas Eve table." How was it, and what time was it, when Father said this sentence? They sat at the Christmas Eve table at exactly 6 PM.
Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result
Car overtaking
The car moved out of place at a speed of 60 km/h in 1.5 hours. The second car moved at a speed of 80 km/h. How long will it take to catch the first car, and how many kilometers will it drive?
Car meeting
It is 162 km from Nitra to Brezno. Two cars on the same route will leave both places simultaneously. A vehicle from Nitra travels at a speed of 60 km/h, and a car from Brezno travels at a speed of 75 km/h. How long and at what distance from Nitra will the
Withdrawal
Suppose I withdrew 2/5 of my total savings and spent 7/10 of that amount. What fraction do I have left in my savings?
Same digits
Write numbers from 0 to 100 with the same number of units and tens.
Power equation
Solve the power equation: 2.1463 = 0.4179x^0.419

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