# Expression of a variable from the formula + quadratic equation - math problems

#### Number of problems found: 149

• Solve: Solve: 2r2+7r-r2-9
• The width The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the dimension of the garden?
• Given 2 Given g(x)=x2+x+1 where x=t2. What is g(t²)?
• The surface The surface of the cylinder is 1570 cm2, its height is 15 cm. Find its volume and radius of the base.
• A fraction I think of a fraction, if we increase its numerator and denominator by one, the value of the fraction increases by one tenth, what fraction do I think?
• The farmer The farmer sees the back fence of the land, which is 50 m long at a viewing angle of 30 degrees. It is 92 m away from one end of the fence. How far is it from the other end of the fence?
• The surface The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm2. Find the radii of the bases when their difference in lengths is 10cm.
• Two gardens The flower garden has a square shape. The new garden has the shape of a rectangle, and one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original garden dimensions and the new garden if both gardens' area i
• Truncated pyramid The truncated regular quadrilateral pyramid has a volume of 74 cm3, a height v = 6 cm, and an area of the lower base 15 cm2 greater than the upper base's content. Calculate the area of the upper base.
• The car The car weight 1280 kg, increased its speed from 7.3 m/s to 63 km/h on a track of 37.2 m. What force did the car engine have to exert?
• A isosceles A isosceles triangle has an area of 168 cm2 and it's added height and base is 370 cm. What are the measurements of it's height and base?
• The block The block, the edges formed by three consecutive GP members, has a surface area of 112 cm2. The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.
• Woman's day We can easily make a heart for mothers for Woman's day by drawing two semicircles to the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1?
• The sum The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
• Sequences AP + GP The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, from the second 4 and keep the third, we get the geometric sequence. Find AP and GP members.
• The cylinder In a rotating cylinder it is given: the surface of the shell (without bases) S = 96 cm2 and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder.
• Rotary cylinder In the rotary cylinder it is given: surface S = 96 cm2 and volume V = 192 cm cubic. Calculate its radius and height.
• Hard cone problem The surface of the cone is 200 cm², its height is 7 centimeters. Calculate the volume of this cone.
• The pool The cube-shaped pool has 140 cubic meters of water. Determine the dimensions of the bottom if the depth of the water is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
• Find the 15 Find the tangent line of the ellipse 9 x2 + 16 y2 = 144 that has the slope k = -1

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