Answer:
D. domain: (-infinity, infinity); range: [1, infinity)
Step-by-step explanation:
The domain is the values that x can take
The domain is (-infinity, infinity)
The range is the values that y can take
absolute value is 0 or greater
cos x is from -1 to 1
The minimum value is when x=0
The smallest value is 1 and the largest is infinity
*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
Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form):
. <em>$2500 is the 10% raise.</em>
Next, to find your first new salary, add $25000 and $2500 together:
. <u>$27500 is your new salary after the 10% raise.</u>
Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000.
. <em>$2750 is your 10% cut.</em>
Next, since this is a cut, subtract $2750 from $27500.
. <u>$24750 is your new salary after the 10% cut.</u>
Next, to find the percentage change, firstly divide $24750 by $25000.
. Now this shows that your current salary is 99% of what you used to make. It is <em>not</em> how much less you make. To find how much less it is, subtract 99% from 100%:
. <u>Your current salary is 1% less than what you used to make.</u>
Answer: 0.11429 (Rounded to fifth decimal place)