Examples for secondary school students - page 199 of 222
Number of problems found: 4435
- Distance
What is the distance between the origin and the point (-11; 13)?
- Vectors
Vector a has coordinates (8; 10), and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c?
- Vector sum
The magnitude of the vector u is 2 and the magnitude of the vector v is 11. The angle between vectors is 64°. What is the magnitude of the vector u + v?
- Aircrafts
Above the town, the hall tower flew the plane at a constant speed of 510 km/h, and 15 minutes later, the second plane at a speed of 703 km/h. How long and how far from the town hall will it be for aircraft to catch up?
- Trapezoid - legs
Determine the trapezoid area with bases 84 and 47; the height is 4 shorter than its leg.
- Cosine
Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and the hypotenuse 8.544.
- Comparing powers
How many times is number 56 larger than number 46?
- Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°.
- Two cars
Car A1 goes at an average speed of 106 km/h, and the second car, A2, goes at 103 km/h. How many seconds will it take car A1 to circulate car A2? Assume that both cars are 5 meters long and the safety gap between cars is 1.5 meters.
- Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long.
- Sum-log
The sum of two numbers is 32, and the sum of their logarithms (base 10) is 2.2. Determine these numbers.
- ISO trapezium
Calculate the area of an isosceles trapezoid with base 95 long, leg 27 long, and with the angle between the base and leg 70 degrees.
- Combi-triangle
Each square side is marked 10 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square?
- V - slope
The slope of the line whose equation is -6x +7 = 0 is
- Fish tank
A fish tank at a pet store has 27 zebrafish. In how many different ways can George choose 2 zebra fish to buy?
- Speedometer
The speedometer of a car reads 66 km/h. It's accurate to within 4.1% What is the maximum possible error?
- Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (6, 22) and v = (10, -11)
- Line segment
For the line segment whose endpoints are L[-1, 13] and M[18, 2], find the x and y values for the point located 4 over 7, the distance from L to M.
- Diameter
If the endpoints of the diameter of a circle are A(-9, 10) and B (-5, -4), what is the circle's radius?
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