Square practice problems - page 103 of 150
Number of problems found: 3000
- 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 - Quadrilateral calc
The square ABCD is given. The midpoint of AB is E, the midpoint of BC is F, CD is G, and the midpoint of DA is H. Join AF, BG, CH, and DE. Inside the square (approximately in the middle), the intersections of these line segments form a quadrilateral. Calc - Trapezoid crossbar height
Calculate the middle crossbar of a trapezoid whose area is 111.8 cm² and height 6.5 cm. - Trapezium bases
Find the trapezium's height if a = 8 cm and c = 4 cm, and its area is 21 square centimeters. - Trapezium
The area of trapezium is 35cm². Find its height if the bases are 6cm and 8cm long. - Circle line probability
A rectangular grid consists of two mutually perpendicular systems of parallel lines with a distance of 2. We throw a circle with a diameter of 1 on this plane. Calculate the probability that this circle: a) overlaps one of the straight lines; b) do any of - Beam log cutting
Is it possible to cut a beam with a square cross-section with a side length of 30 cm from a log with a diameter of 42 cm? Write the answer as follows: yes, because. ... no, because... - The ABCD
The ABCD trapezoid has a base length of a = 120mm, c = 86mm, and an area of S = 2575 mm². Calculate the height of the trapezoid. - A trapezoid
A trapezoid is 75 ft wide on top, 85 ft on the bottom, and the height is 120 ft. What is its area in the square yds? - Quatrefoil circle radius
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - Circle distance ratio
What is the ratio of the distance of the nearest and farthest point of the circle described by the equation x2+y2-16x-12y+75=0 from the origin of the coordinate system? - Trapezoid base perimeter
The isosceles trapezoid has a base length of 12 cm, a height of 4.5 cm, and a height of 5 cm. What is its circumference? - Garden
Trapezoid garden has parallel sides 19 m and 24 m. Its area is 193.5 square meters. What is the width of the garden? - Dig water well
Mr. Zeman is digging a well. Its diameter is 120 cm, and it plans to be 3.5 meters deep. How long (at least) must be a ladder, after which Mr. Zeman would have eventually come out? - Four sides of trapezoid
Calculate the area of the ABCD trapezoid with sides a = 65 cm, b = 29 cm, c = 40 cm, d = 36 cm - Trapezium zoom
How many times should the area of the trapezoid be increased if all sides and altitudes increase 5 times? - Spherical cap
What is the surface area of a spherical cap, the base diameter 27 m, and height 2 m? - Triangle height intersection
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides. - Diamond diagonals
Calculate the diamond's diagonal lengths if its area is 156 cm² and the side length is 13 cm. - Bottle tube
Premium quality olive oil is sold in a glass bottle with a square cross-section packed in a special cylinder tube. The square's perimeter that forms the bottle's cross-section is 28 cm. What is the radius of this tube?
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