Answer: -16/65
Step-by-step explanation:
Drawing the right triangle (as attached) gives us that 
Also, 
This means our original expression is equal to:
![\cos \left[\arcsin \left(\frac{12}{13} \right)+\arcsin \left(\frac{3}{5} \right) \right]](https://tex.z-dn.net/?f=%5Ccos%20%5Cleft%5B%5Carcsin%20%5Cleft%28%5Cfrac%7B12%7D%7B13%7D%20%5Cright%29%2B%5Carcsin%20%5Cleft%28%5Cfrac%7B3%7D%7B5%7D%20%5Cright%29%20%5Cright%5D)
Using the cosine addition formula, which states 
, we get this itself is equal to:
Since 
, we know that:
Similarly, cos(arcsin(3/5))=4/5.
This means the given expression is equal to:
Answer:
False.
Perpendicular intersect to make a right angle.
Answer:
15 feet = Length
Step-by-step explanation:
The area of a rectangle is:
Area = Length x Width
The Area is given as 180 square feet (ft2) and the width is given as 12 feet. Let's plug those values into the Area formula to find the length:
Area = Length x Width
180 = Length x 12
Divide both sides of the equation by 12:
180/12 = Length
15 feet = Length
The answer is d.
Two more (+2) than three times (3) the difference between eight and a number (8-n)
