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)
----------------------------------
Define x :
----------------------------------
Let the width be x.
Width = x
Length = 2x + 5 // Length is 5ft longer than twice the width
----------------------------------
Formula for Perimeter :
----------------------------------
Perimeter = 2 (Length + Width)
----------------------------------
Find Width :
----------------------------------
58 = 2 ( 2x + 5 + x) // Substitute Length and Width into formula
58 = 2 (3x + 5) // Combine like terms
58 = 6x + 10 // Apply distributive property
48 = 6x // Take away 10 from both sides
6x = 48 // Switch sides. Make x the subject
x = 8 // Divide by 6 on both sides
----------------------------------
Find Length and Width :
----------------------------------
Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft
--------------------------------------------------------------------
Answer: The length is 21 ft and the width is 8 ft.
--------------------------------------------------------------------
To find x, you figure out which ratio would be easiest to use.The cosine of the angle (22*) would be x/ll, since cosine is adjacent leg/hypotenuse. Type into a graphing calculator: 11cos(22)
The answer is 10.2. Make sure your calculator is in degree mode!
Answer:
the answer is 6
Step-by-step explanation:
