Answer:
The measure of angle N is 141°.
Step-by-step explanation:
From the given figure it is noticed that the angle 39° and angle N lies on a straight line. It means both angles are supplementary angles.
If two angles are known as supplementary angles, then their sum is 180°.
Since angle 39° and angle N are supplementary angle, therefore their sum is 180°.
Subtract 39 from both sides.
Therefore the measure of angle N is 141°.
2x+4 + 10 = 3x + 1
2x - 3x = 1 - 13
-x = -13
x = 13
AC = 2(13) + 4 + 10 = 26 + 14 = 40
answer
<span>a. 40</span>
So you can do this multiple ways, I'll do this the way that I think makes sense the l most easily.
Cos (0) = 1
Cos (pi/2)=0
Cos (pi) =-1
Cos (3pi/2)=0
Cos (2pi)=1
Now if you multiply the inside by 4, the graph oscillates more violently (goes up and down more in a shorter period).
But you can always reduce it.
Cos (0)= 1
Cos (4pi/2) = cos (2pi)=1
Cos (4pi) =Cos (2pi) =1 (Any multiple of 2pi ==1)
etc...
the pattern is that every half pi increase is now a full period as apposed to just a quarter of one. That's in theory.
Now that you know that, the identities of Cosine are another beast, but mathematically.
You have.
Cos (2×2t) = Cos^2 (2t)-Sin^2 (2t)
Sin^2 (t)=-Cos^2 (t)+1..... (all A^2+B^2=C^2)
Cos (2×2t) = Cos^2 (t)-(-Cos^2 (t)+1)
Cos (2×2t)= 2Cos^2 (2t) - 1
2Cos^2 (2t) -1= 2 (Cos^2(t)-Sin^2(t))^2 -1
(same thing as above but done twice because it's cos ^2 now)
convert sin^2
2Cos^2 (2t)-1 =2 (Cos^2 (t)+Cos^2 (t)-1)^2 -1
2 (2Cos^2(t)-1)^2 -1
2 (2Cos^2 (t)-1)(2Cos^2 (t)-1)-1
2 (4Cos^4 (t) - 2 (2Cos^2 (t))+1)-1
Distribute
8Cos^4 (t) -8Cos^2 (t) +1
Cos (4t) =8Cos^4-8Cos^2 (t)+-1
76.0 would be your answer
Answer:
$50.84
Step-by-step explanation:
By multiplying $3.28 × 15.5 = $50.84
