Square (second power, quadratic) - math word problems - page 28 of 151
Number of problems found: 3005
- Dimensions - pool
The swimming pool dimensions are as follows: l:w:h = 10:4:1. The pool can hold 625 m³ of water. Calculate how many square meters of tiles need to be purchased for lining the pool walls if we add 5% for waste. - Lake map area
A lake with an area of 3 cm² is drawn in the 1:50,000 scale map. Determine the actual size of the lake. - Calculate the chord
The circle's radius is r=8.9 cm, and the chord AB of this circle has a length of 16 cm. Calculate the distance of chord AB from the center of the circle. - Rectangle - diagonal
A rectangle whose one side measures 35m and the other is 7m shorter than the diagonal of the rectangle. Calculate its area in m² (square meters). - Cuboid surface area
Calculate the surface area of a cuboid with dimensions 54.5cm, 12.7cm, and 32.3cm. Express the result in square dm. - Value of a expression
Find the value 5(11)-10²-15+20 - The circle
If the radius of a circle is 3+root3, what is the area? - Rectangle - area and width The length of the rectangle is 1 cm more than its width. Its area is 4 cm². What is its width?
- Trapezoid crossbar height
Calculate the middle crossbar of a trapezoid whose area is 111.8 cm² and height 6.5 cm. - Quadrilateral circle radius 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
- Isosceles triangle sides
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. - Three 205
Three metallic bars of lengths 400 cm, 600 cm, and 720 cm are cut into equal pieces. Find the largest possible area of a square that can be made from any of the three bars. - Parabolic sequence
Find the sum of the first nine terms of an arithmetic sequence whose general term is a(n) = 3n²+5 - The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²? - Hydraulic jack
Hydraulic jack has a capacity of 10 tons. The hydraulic lifter has 6 cm² and 360 cm² pistons. Determine the diameter of the small piston (d) and the force I will create on the piston (F). Design a single-reverse and a double-reverse lever. - Pool plan scale A 16 m square swimming pool has an area of 1 m² on the city plan. What is the scale of the city plan?
- The rectangle 5 The rectangle OABC has one vertex at O, the center of a circle, and a second vertex, A, 2 cm from the edge of the circle, as shown. The vertex A is also 7 cm from C. The points B and C lie on the circumference of the circle. a. What is the radius? b. Find
- 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.
- Garden square fence
I bought 51m of wire, fenced off a square garden, and had 3m of wire left. What is the size of the garden? - Line integer coefficients
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
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