Time - high school - practice problems - page 3 of 32
Number of problems found: 624
- Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - The tangent of the hyperbola
Write the equation of the tangent of the hyperbola 9x²−4y²=36 at the point T =[t1,4]. - Acceleration 82603
How far must a car travel to reach a speed of 72 km per hour if it starts from rest in a uniformly accelerated motion with an acceleration of 0.2 meters per second²? - Traveling 82597
What constant braking force is required to stop a car weighing 1 ton in 10 seconds traveling at 50 km/h?
- Robinson 82579
Robinson Crusoe came to the island with 4 grains of corn. How many years did it take him to grow enough grain for bread if he got 10 grains from one grain on average and he needed at least 1kg of bole for 1 bread, and 1 grain weighs about 0.2g? (assume on - Calculate 82578
The vertices of triangle ABC are: A[1, 2, -3], B[0, 1, 2], C[2, 1, 1]. Calculate the lengths of sides AB, AC and the angle at vertex A. - Right-angled 82471
The lengths a = 7.2 cm and b = 10.4 cm are dropped in the right-angled triangle ABC. Do the math a) lengths of the sections of the hypotenuse b) height on the hypotenuse c - Right-angled 82416
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - Boiler 82273
The ship and boiler are 49 years old. The ship is twice as old as the boiler was when the ship was as old as the boiler is now. How old is the ship?
- Accelerates 82218
The object has a speed of 25m/s and accelerates 5.0m/s² for 250 meters. What is the final velocity? - Saving problem
We want to save €25,000. We deposit €3,000 annually, and the interest is 4.4% (interest tax is 19%). How many years do we have to save? - Principal 82010
Calculate the interest rate if the principal amount of 500 is 5 euros in interest in 5 months. - Increases 81991
What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours? - Interest 81982
The bank offers interest on the deposit of 4 percent per annum. In how many years will the deposit double?
- Perpendicularly 81951
A body of mass 4g is shot perpendicularly from the ground and lands in 8s. What is its kinetic energy at the beginning of its trajectory, what speed does it take off, and where does the distance from the ground stop? Thank you - Borrower 81777
You lent €400. The borrower paid you €440 back in 5 months. What was the yield on this loan? - Circumscribed 81759
In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle. - Determine 81756
The area for shooting training has the shape of a trapezoid, the parallel sides of which are 36m, 21m long, and the remaining sides are 14m, 16m long. Determine the size of the interior angles with a longer base. - X-coordinate 81737
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right.
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