Isolating a variable in the formula - math word problems - page 60 of 144
Number of problems found: 2878
- Quadrilateral pyramid
A regular quadrilateral pyramid has a volume of 24 dm³ and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid - Similar triangles
Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm? - Square 28803
The garden is 1 cm wide and 90 km long when we turn it into a square with the same area. How long will the square be? - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4]. - Grandchildren 28641
Mr. Novák wants to distribute CZK 1,600 among his grandchildren. They divide the amount according to their age. The two grandchildren are 15 years old. The remaining two are 12 and six years old. How many crowns will each of the boys receive? - Similar triangles
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. a) a = 5 cm b = 8 cm x = 7.5 cm z = 9 cm b) a = 9 cm c = 12 cm y = 10 cm z = 8 cm c) b = 4 cm c = 8 cm x = 4.5 cm z = 6 cm - Perimeter and diagonal
The perimeter of the rectangle is 82 m, and the length of its diagonal is 29 m. Find the dimensions of the rectangle. - Ratio of squares
A circle is given, and a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares? - Triangular prism
The triangular prism has a base in the shape of a right triangle, the legs of which are 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²? - Cylinder-shaped 28531
The diameter of the bottom of the cylinder-shaped tank is 6 m. Its volume is 1500 m³. What is the height of the tank to about two decimal places? - Tablecloth's 28511
The round tabletop has a capacity of 2.01 m². Calculate the diameter of the round tablecloth if it exceeds the table's edge by 25 cm. - Rotating 28501
Which bags shaped like the shell of a rotating cone can hold the most popcorn? The first bag has a height of 20 cm, and the length of its side is 24 cm. The second bag has a base radius of 10 cm and a height of 25 cm. - Ball-shaped 28481
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³? - Parallelogram
Find the parallelogram's perimeter, where base a = 8 cm, height v = 3 cm, and angle alpha = 35° is the magnitude of the angle at vertex A. - Edge of prism
The regular quadrilateral prism has a surface of 250 dm². Its shell has an area of 200 dm². Calculate its leading edge. - Triple and quadruple rooms
Up to 48 rooms, some of which were triple and some quadruple, accommodated 173 people, so all beds were occupied. How many triple and how many quadruple rooms were there? - Calculate 6
Calculate the distance of point A[0, 2] from a line passing through points B[9, 5] and C[1, -1]. - Truncated cone 6
Calculate the volume of the truncated cone whose bases consist of an inscribed circle and a circle circumscribed to the opposite sides of the cube with the edge length a=1. - Value of expression
X=2, y=-5, and z=3. What is the value of x-2y? - Derivative problem
The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal.
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