Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
5)
Adj = 14
Hyp = 26
∠X
so use
CAH
Cos(X) = 14/26
X = arcCos(14/26)
X = 57.421°
X = 57.4 ° ( rounded to nearest 10th )
6)
∠X
Hyp = 46
Opp = 12
use SOH
Sin(x) = 12/46
X = arcSin(12/46)
X = 15.121°
X = 15.1 ° ( rounded to nearest 10th )
7)
∠X
Adj = 29
Opp = 24
use TOA
Tan(x) = 29 / 24
X = arcTan( 29 /24)
X = 50.389
X = 50.4 ° ( rounded to nearest 10th )
8)
∠X
Adj = 22
Opp = 6
use TOA agian
Tan(x) = 6 / 22
X = arcTan(6/22)
X = 5.194
X = 5.2 ° ( rounded to the nearest 10th )
:)
Answer:
A
Step-by-step explanation:
We take a look at this expression:
and notice that both terms are square numbers.
and
.
There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares
, it can always be factored into
.
Here, we can apply that. In this case, a = 7x and b = 3. So:

Thus, the answer is A.
Hope this helps!
Answer:
40 years
Step-by-step explanation:
He was also the first Roman Emperor
8.1• 10^10. U need to move the decimal to the right 10 places. Then compare from the other things from the problem.
Google “What is the square root of a number”