Square (second power, quadratic) - practice problems - page 9 of 137
Number of problems found: 2729
- Acceleration of a car
What was the initial speed of the car when, after accelerating 2 m/s², it gained a speed of 30m/s in 10 seconds?
- Acceleration - free fall
How long will it take for a car to reach 180 km/h with an acceleration of 10 m/s²?
- Acceleration 84024
What distance will a car travel with an acceleration of 10m/s² in 5 seconds?
- Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, the hypotenuse a = 6 cm and sin α = 3/5. What is the length of the hypotenuse b?
- Repeatition not allowed
How many four-digit numbers can be formed from the numbers 3 5 8 9 if they are not allowed to be repeated?
- Compound fractions
Solve the compound fraction, use the known formulas, and shorten the: (4a²-12a+9)/(4a-6)
- Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container.
- Quadratic 83667
A quadratic equation is given: x²-x-2=0 Without solving this equation, construct a quadratic equation whose roots are the square of the roots of the given equation.
- Construction 83662
Using Euclid's theorems, construct a triangle ABC with height on side c and size v = √8 cm. Choose the length of the hypotenuse c correctly. Write the construction procedure.
- Dimensions 83658
One side of the rectangle is 12 cm longer than the other. If we reduce each dimension by a third, the area of the rectangle will be reduced by 60 cm². Determine the dimensions of the rectangle.
- Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston?
- Circumference 83645
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12.
- Heptagon's 83628
Calculate a regular heptagon's perimeter if its shortest diagonal length is u=14.5cm.
- 40cmx60cm 83619
The stand on which the posters are stuck has the shape of a cone. It is 2.4m tall. The side of the cone is 2.5 m long. How many 40cmx60cm posters can be stuck on the stand so they do not overlap?
- Intersection 83575
Given a circle with a radius r = 4 cm and a point A for which |AS| applies = 10 cm. Calculate the distance of point A from the intersection of the points of contact of the tangents drawn from point A to the circle.
- Paint the walls
It is necessary to paint the walls and ceiling of the warehouse, which is 10 m long, 4 m wide, and 3 m high. How many CZK (Czech crowns) will it cost to paint if it costs 200 CZK to paint 1 m²?
- Rectangular roof
Our house's roof is rectangular. When it rains, the water drains through the gutter. How much water flowed from our roof during a storm when we know that 12 liters of water fell on every 1 m² of surface? The roof width is 6m, the length is 9m, and the slo
- Acceleration 83493
A body with a mass of 5 kg moves in a vertical downward direction with an acceleration of a= 12 m/s². What force acts on it in addition to its weight?
- Coordinates of line points
I have a point A=[2,1] and a line y+x-5=0. How do I determine the coordinates of point A', which is the image of point A according to the given straight line?
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