Equation + square - practice problems - page 3 of 21
Number of problems found: 414
- Quatrefoil 81138
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - Dimensions 81100
The area of the rectangle is 81.25 cm². If we increase its length by 5 mm, its area increases by 4%. Determine its dimensions. - Quadrilateral 81033
The foundations of a regular truncated quadrilateral pyramid are squares. The lengths of the sides differ by 6 dm. Body height is 7 dm. The body volume is 1813 dm³. Calculate the lengths of the edges of both bases. - Right-angled 80745
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST.
- Determine 80662
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2). - Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - Equation 80525
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - GEOMETRIC MEANS alternating
Find the indicated number of geometric means between the pair of numbers. -32 and 4 [insert 2 means] Sequence:-32, _, _, 4 - FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81]
- Playground 79454
In Kocourkov, they decided to build a children's playground and volleyball courts. The volleyball court will have dimensions of 18m x 19m. The playground will have a square face. The area of both fields will be the same. What will be the dimensions of t - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - Determine 79364
Given a general triangle ABC. Its perimeter is 30 cm, with side a=2 cm longer than side b and 5 cm shorter than side c. Determine the area of the triangle. - Rectangle 79084
A rectangle whose one side measures 35m and the other is 7m shorter than the diagonal of the rectangle. Calculate the content in m². - Rectangle 78924
The length of the rectangle is 1 cm more than its width. Its content is 4 cm². What is its width?
- Quadrilateral 78874
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime - Calculate 78714
Calculate the size of the base and side of an isosceles triangle if the side is 1 cm longer than the base and the height to the base is 2 cm shorter than the side. - Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10. - Geometry: 78014
Good day, Even though it is a trivial task, I don’t know how to deal with it. This is analytic geometry: Find all integers a, b, and c such that the line given by the equation ax+by=c passes through the points [4,3] and [−2,1]. Thank you for your answer - One-third 77724
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid?
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