Square (second power, quadratic) - math word problems - page 147 of 151

Number of problems found: 3005

Quadratic equation
Determine the numbers b and c that the numbers x₁ = -8 and x₂ = -1 were roots of the quadratic equation: -3x ² + b x + c = 0
Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20)
Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm.
Garden
How many steps of 64 cm circumvent the square garden with area 1.5 ha?
Special cube
Calculate the cube's edge if its surface and volume are numerically equal numbers.
Cube
The sum of lengths of cube edges is 56 cm. What are its surface and volume?
Numeric question
Is it possible a negative, irrational number?
Pipes
The water pipe has a cross-section 1903 cm². An hour has passed 859 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 11 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?
Trunk
Calculate the length of the biggest fishing rod that can be inserted into the trunk of a car with dimensions 152 x 82 × 81 cm.
Box
Calculate the angle between box base 5 x 10 and body diagonal length 13.
Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=20 cm and height h=10 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 15, 66, and 68 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 78 mm and a width of 315 mm. How many square millimeters roll on one turn?
Rectangles
How many rectangles with area 8855 cm² whose sides are natural numbers?
Rectangle SS
The perimeter of a rectangle is 154 dm, and its diagonal is 62.36 dm. Find 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.
Sphere cuts
At what distance from the center does the sphere intersect with the radius R = 46 plane if the cut area and area of the main sphere circle are in ratio 2/5?

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