Square (second power, quadratic) - math word problems - page 19 of 151

Number of problems found: 3005

Trapezoid perimeter base
An isosceles trapezoid has one base twice as short as the other. Its area is 42 cm², and its height is 4 cm. Calculate its circumference if you know that the arm is 5.3 cm long.
Parabola focus equation
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line.
Triangle height line
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk.
Right-angled - legs
The lengths of legs are a = 7.2 cm and b = 10.4 cm in the right-angled triangle ABC. Calculate: a) lengths of the sections of the hypotenuse b) height to the hypotenuse c
Angular velocity
Determine the difference in angular velocities of the clock hands. [rad/s] ω of clock hands =? ω minute hands =? ω second hands =?
Diagonal of a cube
Calculate the volume of a cube with a wall diagonal of u = 20 cm.
Motorcycle acceleration time
Motorcyclist Arnošt begins to move on his motorcycle in a uniformly accelerated motion with an acceleration of 1.6 m/s². At what time will it reach a speed of 50 km/h? What distance will it travel at this time?
Paver square shifts
Seven pavers would pave the square in 15 shifts. After five shifts, two pavers fell ill. How long will it take for the remaining pavers to finish the job?
Circular segment
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius?
Triangle perimeter area
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²?
Block cover fabric
The teacher decided to sew covers for the eight-seat blocks in the school library. All cubes are cube-shaped with an edge 40 cm long. How many m² of fabric will the teacher need in total if the blocks are not lined from the bottom, and 5% must be added fo
Accelerated motion
The position of a mass point that moves along the x-axis is given by the relation x=10t²-5t. Express its velocity and acceleration.
Circle equation points
Determine the equation of the circle that passes through the point M(-1,2) and N( 3,0) and whose center lies on the line p: x=-3+t, y=-1+t,
Ground speed
The plane flies south at an average speed of 190 km/h, and the wind blows from west to east at a speed of 20 m/s. How fast and in what direction (relative to the meridian) will the plane move relative to the ground?
Trapezoid garden width
The trapezoidal garden has parallel sides of 14m and 20m, and its area is 136 square meters. How wide is the garden?
Circle point equation
Determine the equation of the circle that is the set of all points of the plane that are twice as far from the point [3,7] as they are from the point [0,1].
Cooperatives - table
There are 3 cooperatives and privately owned farmers in the district. The table shows the wheat yields per hectare in t/ha and their areas in hectares in 4 entities. What was the average wheat yield in the district? subject; yield [t/ha]; area [ha] ZD1 ;
Rectangular plot
The plot has a rectangular shape of 10.5 m and 15.5 m. A square cabin with a side of 50 dm is built on the plot. How many square meters is the rest of the plot?
Multiply x times
Susan divided the number 52 by the number 2 eight times and multiplied it by the number 2 six times. What number did she get?
Object final velocity
The object has a speed of 25m/s and accelerates 5.0m/s² for 250 meters. What is the final velocity?

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