Square (second power, quadratic) + square - practice problems - page 123 of 126
Number of problems found: 2503
- Pipes
The water pipe has a cross-section 1184 cm². An hour has passed 743 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 6 hours if water flows at the same speed? - Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord? - Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=15 cm and height h=13 cm. - Gold wire
From one gram of gold was pulled wire 1.4 km length. What is its diameter if the density of Au is ρ=19.5 g/cm³?
- Is right?
Is a triangle with sides 51, 56, and 77 right triangle? - Proof I
When added to the product of two consecutive integers larger one, we get the square larger one. Is this true or not? - Kitchen
The kitchen roller has a diameter of 70 mm and a width of 359 mm. How many square millimeters roll on one turn? - Rectangles
How many rectangles with area 3152 cm² whose sides are natural numbers? - Rectangle SS
The perimeter of a rectangle is 268 cm, and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
- Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm. - Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm². - Diamond
Find the side of the diamond if its area is S = 490 cm² and one diagonal u2 = 39 cm. - Circle
How big is an area of a circle if its circumference is 51.2 cm? - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r?
- Quadratic equation
Quadratic equation 7x²+bx+c=0 has roots x1 = 67 and x2 = -84. Calculate the coefficients b and c. - Circle
The circle k with diameter |MN| = 61. Point J lies on the circle k. Line |MJ|=22. Calculate the length of a segment JN. - Forest nursery
In the Forest nursery plant, one birch to 1.2 m². Calculate how many plants are planted in the area 738 acres. - Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth - Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)?
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