Answer:- A) U= { keys on a keyboard}
Explanation:-
- A set is a well defined collection of objects.
- A Universal set is the set containing all objects and all other sets are subsets of the universal set. It is denoted by 'U'.
Given set : S = {x,y,4,9,?}
Clearly it contains numbers (4,9), alphabets(x,y) and punctuation mark(?).
Thus the universal set of the given set must contain all of them.
Thus U={keys on a keyboard}
Answer:
544 are men 181 are women
Step-by-step explanation:
725/4 =181x3
Answer:
10.39 ft²
Step-by-step explanation:
To answer the question, we need to know the following;
- A regular polygon is a polygon whose sides are equal
- A hexagon is a six sided polygon
- A regular hexagon is a polygon with six equal sides
In this case, the length of one side of the hexagon is 2ft
We are required to determine the area of the hexagon;
We need to determine the number of triangles we can divide an hexagon into triangles from its center, then determine the center angle of each triangle.
Center angle = 360° ÷ 6
= 60°
Therefore, we have six isosceles triangles whose base side is 2 ft in length and the one angle at the top is 60°
Dividing the a triangle into two we have two right angled triangle each with an angle of 30° and one of the shorter side as 1 ft.
Using trigonometric ratios we can determine the other side.
tan 30 = opp/adj. opposite is 1 side
Adj = 1 ft ÷ tan 30
= 1.732 ft
Therefore, the area of each triangle = 0.5 × 1 ft × 1.732 ft × 2
= 1.732 ft²
Therefore, the area of a hexagon = 6 × 0.5 × 1 ft × 1.732 ft
= 10.392 ft²
Thus, the area of the hexagon is 10.39 ft²
The first figure is a rectangle. Rectangles are known for having four right angles. Thus, one of the angles in this figure is 90 degrees.
The second figure is an equilateral triangle. Because all its sides have the same length, the angles are all the same. There is a principle stating that the sum of the 3 interior angles of a triangle is 180 degrees. Thus, the measure of one of these 3 angles is 180 degrees / 3 = 60 degrees.
8 and 10 are possible lengths of the third side.
