Answer:
c
Step-by-step explanation:
Here's how this works:
Get everything together into one fraction by finding the LCD and doing the math. The LCD is sin(x) cos(x). Multiplying that in to each term looks like this:
![[sin(x)cos(x)]\frac{sin(x)}{cos(x)}+[sin(x)cos(x)]\frac{cos(x)}{sin(x)} =?](https://tex.z-dn.net/?f=%5Bsin%28x%29cos%28x%29%5D%5Cfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%2B%5Bsin%28x%29cos%28x%29%5D%5Cfrac%7Bcos%28x%29%7D%7Bsin%28x%29%7D%20%3D%3F)
In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:
Put everything over the common denominator now:
Since 
, we will make that substitution:
We could separate that fraction into 2:
×
and 
Therefore, the simplification is
sec(x)csc(x)
Answer:
0,
The range of f(x) is [0,∞),
Step-by-step explanation:
Answer:
66 degrees! Hope it Helps!!!!
Step-by-step explanation:
So the total angle amount of a square is 360
lets first figure out what x is...
angle B and angle D is equal, forming a equation.
6x-96=3x
simplify that...
x=32
Now pluggin x into the equation (6x-96)&(3x)
96 and 96
Now add all the angles forming this equation: (?+102+96+96=360)
?=66
When
, you have
Now assume this is true for
, i.e.
and under this hypothesis show that it's also true for
. You have
In other words, there exists
such that
Rewriting, you have
and this is equivalent to
modulo 9, as desired.
Answer:
After 5 hours the two would charge the same amount of money.
Step-by-step explanation:
Designer A: $450 + ($105/hr)x, where x is the number of hours worked;
Designer B: $725 + ($50/hr)x
Equating these two formulas, we get:
$450 + ($105/hr)x = $725 + ($50/hr)x
Subtracting $450 from both sides: ($55/hr)x = $275
Dividing both sides by $55 yields the number of hours worked:
x = $275/$55 = 5
After 5 hours the two would charge the same amount of money.
