Square root + angle - practice problems - last page
Number of problems found: 116
- De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers. - Tower
The top of the tower is a regular hexagonal pyramid with a base edge 6.1 meters long and a height 11.7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 9% of metal for waste. - Without Euclid laws
Right triangle ABC with a right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws. - Railways
Railways climb 2.8 ‰. Calculate the height difference between two points on the railway distant 5997 meters.
- Triangle
Plane coordinates of vertices: K[19, -4] L[9, 13] M[-20, 8] give Triangle KLM. Calculate its area and its interior angles. - Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16? - Side c
In △ABC a=6, b=6 and ∠C=110°. Calculate the length of the side c. - Similarity
The area of the regular 10-gon is 563 cm². The area of similar 10-gon is 606 dm². What is the coefficient of similarity? - Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
- Height 2
Calculate the height of the equilateral triangle with side 48. - Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - Is right?
Is a triangle with sides 51, 56, and 77 right triangle? - Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm². - Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
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