Area + real numbers - practice problems
Number of problems found: 24
- ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate) and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z* and (1/z) on an Argand d
- Copper winding
Calculate the current flowing through the copper winding at an operating temperature of 70°C. Celsius, if the winding diameter is 1.128 mm and the winding length is 40 m. The winding is connected to 8V.
- Triangle ABC
Calculate the sides of triangle ABC with area 1404 cm² and if a: b: c = 12:7:18
The area of a square garden is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden?
- Cube zoom
How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %?
How much metal is needed for production 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material.
The area of the side of two cylinders is the same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume and by how much?
Find the interior angles of a rhombus with area 319.1 cm² and perimeter 72 cm.
- Regular 5-gon
Calculate the area of the regular pentagon with side 7 cm.
- Right Δ
A right triangle has the length of one leg 11 cm and the hypotenuse 61 cm size. Calculate the height of the triangle.
- Area of RT
Calculate the right triangle area that hypotenuse has length 14, and one hypotenuse segment has length 5.
- Area 4gon
Calculate the area of 4-gon, two, and the two sides are equal and parallel with lengths 11, 5, 11, and 5. Inner angles are 45°, 135°,45°, 135°.
Calculate perimeter of the circle described by a triangle with sides 478, 255, 352.
- Area of RT
The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of this triangle.
Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
- Square 2
Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate area of the square ABCD.
One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 231 cm².
- Axial section
The axial section of the cone is an equilateral triangle with area 122 m². Calculate the volume of the cone.
- Cone A2V
The surface of the cone in the plane is a circular arc with central angle of 126° and area 415 cm². Calculate the volume of a cone.
The right triangle with legs 11 cm and 18 cm rotate around the longer leg. Calculate the volume and surface area of the formed cone.
Area - practice problems. Real numbers - practice problems.