Rearrange variables - math word problems - page 113 of 147
Number of problems found: 2922
- Triangle Height from Area
The parallelogram has a side 6 cm long, and the height on this side is 4 cm long. What is the height of an isosceles triangle with a base 6 cm long and the same area? - Tangent
What distance are the tangent t of the circle (S, 4 cm) and the chord of this circle, which is 6 cm long and parallel to the tangent t? - Two diagonals
The diagonals of rhombus EFGH are in the ratio 1:2. What is the perimeter of the rhombus if the longer diagonal is 8 cm? - Calculate
Calculate the length of the face diagonal of a cube with an edge of 5 cm. - Tangent 3
In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8 cm. - Unknown variable
Find the number x, which, if it increases by 2, then its square increases by 21 percent. - Cube Diagonal from Perimeter
Calculate the space diagonal of a cube if the perimeter of one of its faces equals 39 centimeters. - Ratio-cuboid
The edges of a cuboid are in the ratio 2:3:6. Its space diagonal is 14 cm long. Calculate the volume and surface area of the cuboid. - Simple equations
Solve the system of equations: 5x+3y=5 5x+7y=25 - Red balls
The bag has three red, 12 blue, and eight green balls. If we want the probability of pulling out the red balls to be 20%, how many red balls must we add to the bag? - Circumscribed by triangle
Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC. - Free fall
How long does the stone fall freely into a depth of 80 m? What speed will it hit the bottom of the abyss? - Inscribed circle
The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c. - Chord
It is given to a circle k(r=6 cm), and the points A and B such that |AB| = 8 cm lie on k. Calculate the distance of the center of circle S to the midpoint C of segment AB. - Prism height
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? - Guppies
Audrey has some guppies in a fish tank. The ratio of the orange guppies to silver guppies is 3:5. She has 12y orange guppies. Write the number of silver guppies she has in terms of y. - Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder diagonal is 20 cm. Find the exact surface area of the top of the cylinder. - Area of triangle
Two pairs of parallel lines, AB to CD and AC to BD, are given. Point E lies on the line BD, point F is the midpoint of the segment BD, point G is the midpoint of the segment CD, and the area of the triangle ACE is 20 cm². Determine the area of triangle DF - Zero insertion
Annie and Blanka each wrote one double-digit number, which started with a seven. The girls chose different numbers. Then, each inserted a zero between the two digits, giving them a three-digit number. Everyone subtracted their original two-digit number fr - Boys and girls
There are 28 girls in the hall. Boys make up 5/7 of all the children. How many children are there in total, and how many are boys?
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