*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:
X = - 5
Step-by-step explanation:
The above word problem is mathematically interpreted thus:
-1X - 4X = -4 - 4X + 4 + 5
-5X = - 4 - 4X + 4 + 5
-5X = - 4 - 4X + 9
Collect like terms
-5X + 4X = - 4+ 9
-X = 5
X = - 5
The total amount of money he only made is calculated by
the formula:
amount made = 15,200 – 912
amount made = 14,288
Therefore the percentage commission was:
% commission = 912 / 14,288 * 100%
<span>% commission = 6.38 %</span>
Answer:
10 + 6 + 20 = 36 / 3 = 12.
Step-by-step explanation:
The you started studying statistics and all of a sudden the “average” is now called the mean. What happened? The answer is that they are.
Answer:
Its A
Step-by-step explanation: