Square (second power, quadratic) - math word problems - page 88 of 144
Number of problems found: 2866
- Is right-angled
Can a triangle with the sides of sqrt 3, sqrt 5, and sqrt 8 (√3, √5, and √8) be a right triangle?
- Calculate 6757
How can we calculate the perimeter of a triangle, square, and rectangle?
- Cube walls
Find the cube's volume and surface area if the area of one of its walls is 40 cm².
- Around
Around the circular flowerbed with a radius of 2 m is a sidewalk 80 cm wide. How many square meters does the sidewalk have?
- Equation 6738
Solve the given equation in the set N: 1 - x + x² - x³ + x4 - x5 +…. + = 1/3
- Square into three rectangles
Divide the square with a side length of 12 cm into three rectangles with the same circumference so that these circumferences are as small as possible.
- Two rectangles
I cut out two rectangles with 54 cm² and 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together, I get a rectangle with an area of 144 cm². What dimensions can this large rectangle have? Write all options. Explain your
- Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0
- Geometric progression 4
There is a number sequence: 8,4,√2,4,2√2 Prove that the sequence is geometric. Find the common ratio and the following three members.
- Calculate
Calculate the surface of the cube if its volume is 64 cm³.
- Calculate 6706
Given a triangle KLM points K [-3.2] L [7, -3] M [8.5]. Calculate the side lengths and perimeter.
- Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume.
- Regular prism
The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume.
- Coefficient 6672
In the triangle ABC is [AB] = 20cm, [BC] = 10cm, A = 30 °. Construct a triangle A'B'C' similar to triangle ABC if the similarity coefficient is 0.5
- Dimensions 6662
How many square meters of wallpaper do we need to glue the room walls with dimensions of 3 m and 4 m if the room's height is 2.5 m?
- Lampshade
The cone-shaped lampshade has a diameter of 30 cm and a height of 10 cm. How many cm² of material will we need when 10% is waste?
- Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6].
- Ellipse
Ellipse is expressed by equation 9x² + 25y² - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the ellipse's center.
- Tangent of an angle
Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is:
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