Answer:
Anupama wants to purchase a curtain of window for her study room, she measures its length as 14 m, breadth as 3m, how much cloth will she purchase?Geometry is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a geometer. Wikipedia
*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
Area of a Regular Hexagon:
square units
(22)
Similar to (21)
Area =
square units
(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:


Hence, area of the hexagon will be:
square units
(24)
Given is the inradius of an equilateral triangle.

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle =
square units
Answer:
R'(3,-4)
Step-by-step explanation:
we know that
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places
so
The rule of the reflection across the line y=x is equal to
(x,y) ------> (y,x)
we have
R(-4,3) ------> R'(3,-4)
Answer:
w = 2
Step-by-step explanation:
2(4w - 1) = -10(w - 3) + 4
8w - 2 = -10w + 30 + 4
8w - 2 = -10w + 34
+10w +10w
18w - 2 = 34
+2 +2
<u>18w</u> = <u>36</u>
18 18
w = 2