Square + expression of a variable from the formula - practice problems - page 41 of 42
Number of problems found: 837
- Quadrilateral 8120
Include the side edge length of a regular quadrilateral pyramid if the pyramid height is 4 cm and the base area is 16 cm². - Two patches
Peter taped the wound with two rectangular patches (one over the other to form the letter X). The area sealed with both patches simultaneously had an area of 40cm² and a circumference of 30cm. One of the patches was 8cm wide. What was the width of the sec - Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²? - Parallelogram 5027
Calculate the area of the parallelogram if the side sizes are a = 80, b = 60, and the size of the diagonal angle is 60°.
- Sidewalk 63134
A 2m wide sidewalk is built around the circular fountain. The radii of the circles that delimit the path on both sides are 4:3. What area in square meters does this sidewalk occupy? - 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]. - Quarter of a circle
Calculate the circumference of a quarter circle if its area is S = 314 cm². - Calculate 32321
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm. - Circular 31441
The circular park has an area of 1600 m². Cross the park, right in its center, leads the trail. What is the length of the trail?
- Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm². - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid with a volume of 24 dm³ and a height of 45 cm. - Calculate 81034
Calculate the volume of the spherical segment and the surface area of the canopy if the radius of the sphere is r=5cm and the radius of the circular base of the segment ρ=4cm. - Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm? - The tangent line
Find the tangent line of the ellipse 9x² + 16y² = 144 with slope k = -1.
- Five circles
On the line segment CD = 6 there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE. - Quadrilateral pyramid
The height of a regular quadrilateral pyramid is 6.5 cm, and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body—round calculations to 1 decimal place. - The coil
How many ropes (the diameter of 8 mm) fit on the coil (threads are wrapped close together)? The coil has dimensions: The inner diameter is 400mm. The outside diameter is 800mm. The length of the coil is 470mm. - Pavement
Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if the distance of the pavement from the center is 15 m. - The circle arc
Calculate the span of the arc, which is part of a circle with diameter d = 11 m and its height is 5 m.
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