Let us consider the function given. It is
. The coefficient of x (here 1/2) gives the frequency of the curve. What this means is that we see 1/2 a cycle between x=0 and x=
. Put another way, to see a full cycle we would need
. The period of the function given is
.
Let us think about a cycle of cosine. It starts (x=0) and ends (
) its cycle at its highest value (here f(x)=1). It is at it's lowest (here f(x)=-1) in the middle (
) it is between the highest and the lowest that it crosses the x-axis.
That is, it has an x-intercept between 0 and
That is, at
The next one comes between
and
. That is, at
The attached shows the function and it's x-intercepts. You can see that they occur at:
. This is the arithmetic sequence that contains the x-intercepts of the function.
As you can see the nth zero will occur at
Your awnswer would be 128.1746031746
Answer: 32°
Step-by-step explanation:
Complementary angles are the ankea that are equal to 90° when we add them together. This will then be:
9x+22 + 2x+24 = 90
11x + 46 = 90
11x = 90 - 46
11x = 44
x = 4
Angle F = 2x + 24
= 2(4) + 24
= 8 + 24
= 32°
The answer b
Because the first two logs are being add together and that means you multiply the 3 and 11 together to get 33.
And when they have a 2 in front of the long that means you square it the the number behind the log in this case 5^2
Therefore you're answer would have to be b. Log2(33*5^2)
Area = (bh)/2
b = 19, h = 11
Plug in the value
Area = (19 * 11)/2
Area = 209/2 = 104.5
Solution: 104.5 square inches