Physical quantities - math word problems - page 276 of 296
Number of problems found: 5915
- Forest square map
A forest with a square plan has an area of 4 square km. What side will the square have on a 1:50,000 scale map? - Mixture of nuts
We should prepare the mixture of nuts from almonds, peanuts, and nuts cashew ratio of 1:2:3 (respectively). The price of almonds is 150 CZK/kg, the price of peanuts is 140 CZK/kg, and the price of cashew nuts is 180 CZK/kg. The price of the mixture is det - Alarm clock
The old watchmaker has a unique digital alarm in its collection that rings whenever the sum of the alarm's digits equals 21. Find out when the alarm clock will ring. What is their number? List all options. - Altitude angles
Cities A, B, and C lie in one elevation plane. C is 50 km east of B, and B is north of A. C is deviated by 50° from A. The plane flies around places A, B, and C at the same altitude. When the aircraft is flying around B, its altitude angle to A is 12°. Fi - Inner angles
The inner angles of the triangle are 30°, 45°, and 105° and its longest side is 10 cm. Calculate the shortest side length, and write the result in cm up to two decimal places. - Track arc
Two straight railway tracks meet at an angle of 126°. They are joined by a circular arc with radius r = 1110 m. How long is the connecting arc (L)? How far is the centre of the arc from the intersection of the tracks (x)? - CoG center
Find the position of the center of gravity of a system of four mass points having masses, m1, m2 = 2 m1, m3 = 3 m1, and m4 = 4 m1, if they lie at the vertices of an isosceles tetrahedron. (in all case - Gold Cube Weight
How much does a gold cube weigh, 30 x 30 x 30 cm? - Position vector of a point mass
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (6t²+ 4t ; 3t + 1) where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the position of - Square point distance
I was given a square ABCD 4.2 cm. Find the set of all points that have a distance less than or equal to 2 cm from one of its vertices and lie inside this square. Indicate how much of the square this area occupies as a percentage. - Map scale determination
Determine the map's scale if the 1.6 km, 2.4 km, and 2.7 km triangle-shaped forests are drawn on the map as a triangle with sides of 32 mm, 48 mm, and 54 mm. - Stick shadow angle
The meter stick is located on the meridian plane and deviated from the horizontal plane to the north by an angle of magnitude 70°. Calculate the length of the shadow cast by a meter stick at true noon if the Sun culminates at an angle of 41°03'. - Vectors 5
The position vector of a material point moving in a plane can be expressed in the introduced reference frame by the relation: r(t) = (2t + 3t²; 6t + 3), where t is time in seconds and the coordinates of the vector are in metres. Calculate: a) what is the - A cube
A cube has a surface area of 64 ft². Henrietta creates a reduction of this cube using a scale factor of 0.5. What is the surface area of the reduction? - Hydrostatic pressure
At what depths does a hydrostatic compressive force of 3 kN act at a depth of 30 m in water? - Fe vs. H2O
For the same weight, which body has a greater volume: iron or water? - Position vector The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (1 + 5t + 2t² ; 3t + 1), where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the posit
- Iceberg
What is the surface area of a 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg? - Probability
A restaurant always counts the cash register at the end of the day so that the employees can divide their tips. It has been found that the daily tips follow a normal distribution with a mean of €130 and a standard deviation of €60. What is the probability - Uphill and downhill
The cyclist moves uphill at a constant speed of v1 = 10 km/h. When he reaches the top of the hill, he turns and passes the same track downhill at a speed of v2 = 40 km/h. What is the average speed of a cyclist?
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