Answer:
3 1/4 + 2 1/3 = 67 / 12 = 57 1/2
Step-by-step explanation:
Conversion a mixed number to a improper fraction: 3 1/4 = 3 · 4 + 1
4
= 13
4
Conversion a mixed number to a improper fraction: 2 1/3 = 2 · 3 + 1
3
= 7
3
Add: 13
4
+ 7
3
= 13 · 3
4 · 3
+ 7 · 4
3 · 4
= 39
12
+ 28
12
= 39 + 28
12
= 67
12
Answer: Triangle B
Step-by-step explanation: Congruent just means which shape matches the others, like as you see D and F are congruent as well as A, C, and E.
Answer:
Yes, (-3, -9) is a solution.
Step-by-step explanation:
y = 3x (-3,-9)
-9 = 3(-3)
-9 = -9
What the formula?
::::::::::::::::::::::::::::::1
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:

