<h3>Answer:</h3>
x/tan(x) is an even function
sec(x)/x is an odd function
<h3>Explanation:</h3>
<em>x/tan(x)</em>
For f(x) = x/tan(x), consider f(-x).
... f(-x) = -x/tan(-x)
Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...
... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)
The relation f(-x) = f(x) is characteristic of an even function, one that is symmetrical about the y-axis.
_____
<em>sec(x)/x</em>
For g(x) = sec(x)/x, consider g(-x).
... g(-x) = sec(-x)/(-x)
Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...
... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)
The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.
Hello :3
In general, any quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a kite. Every rhombus is a kite, and any quadrilateral that is both a kite and parallelogram is a rhombus. A rhombus is a <span>tangential quadrilateral</span>
<h3>Given</h3>
- ∠AOB = ∠COD = x² -2
- ∠BOC = 2x -10
- ∠AOD = ∠AOB + ∠BOC + ∠COD = 16x +2
<h3>Find</h3>
- x
- the measures of the angles
<h3>Solution</h3>
Substituting the given values of the angles into the given relaion, we get ...
... (x² -2) + (2x -10) + (x² -2) = 16x +2
... 2x^2 -14x -16 = 0 . . . . . subtract the right side (16x+2)
... 2(x +1)(x -8) = 0 . . . . . . .factor
Values of x that satisfy this equation are ...
... x = -1, x = 8
The value x = -1 does not give rise to positive angle values.
For x = 8, the angles are ...
... ∠AOB = ∠COD = 8²-2 = 62
... ∠BOC = 2·8 -10 = 6
... ∠AOD = 16·8 +2 = 130 . . . . = 62 +6 +62
The answer to the question not asked is ...
... x = 8; ∠AOB = ∠COD = 62; ∠BOC = 6; ∠AOD = 130
Answer:
233.8 Yards
Step-by-step explanation:
Given that,
Length of a rectangular field, l = 227 yards
Breadth of a rectangular field, l = 56 yards
Let x is the distance from one corner of the field to the opposite corner. It can be calculated using Pythagoras theorem,
So, the distance from one corner of the field to the opposite corner is 233.8 Yards.
Answer:
$7.21
Step-by-step explanation:
Divide 21.63 by 3.
One pound of coffee would cost $7.21
