Answer:
The statement is true
Step-by-step explanation:
The denominators of the fractions are 3 and 4. The least common multiple of those numbers is 12, making the least common denominator 12.
Answer:
The area of Nancy's garden is 
Step-by-step explanation:
I assume that the Nancy's garden is a rectangle shape
To find the area first convert mixed number to an improper fraction


Therefore
The area is equal to

convert to mixed number

Answer:
The last option
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let
, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations: 



(3)
By the quadratic formula, we find the following solutions:
and 
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

Then, the values of the cosine associated with that angle is:

Now, we have that
, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)




If we know that
and
, then the value of the function is:


I don't know I just need the points Lol sorry