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masha68 [24]
3 years ago
8

Help with 10 and 11 please!

Mathematics
1 answer:
Nady [450]3 years ago
7 0

23/50 * 2 = 46/100

11/20 * 5 = 55/100

Hope this helps! :D

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Use appropriate identities to rewrite the wave equation shown below in the form ℎ(x) = a cos (x − c).
yarga [219]

Answer:

h(x) = 10 cos(x-36.870)

Step-by-step explanation:

Note: For this problem we use the calculator on degrees

For this case we need to remember this identity :

Cos (a-b) = cos a cos b + sin a sin b

For this case if we apply for our desired formula we got this:

a cos (x-c) = a [cos (c) cos (x) + sin (c) sin (x)]

And we want this equal to h(x) = 6 sin (x) + 8 cos (x) so we can set up the following equality:

6 sin (x) + 8 cos (x)= a cos (c) [cos (x)] + a sin (c) [sin(x)]   (1)

If we apply direct comparison between the factors on equation (1) we see this:

a cos(c) = 8    (2)

a sin (c) = 6    (3)

If we solve a from equation (2) we got:

a = \frac{8}{cos (c)}   (4)

If we replace equation (4) into equation (3) we got:

\frac{8}{sin(c)} cos (c) = 8 tan (c) = 6

tan(c) = \frac{6}{8}=\frac{3}{4}

If we apply inverse tangent on both sides we got:

c = tan^{-1} (3/4) = 36.870

So then the value of c= 36.870 degrees. And since w ehave the value of c we can find the value for a and we got:

[tex] a = \frac{8}{cos (36.870)}=10

And then our expression in the form h(x) = a cos (x-c) is:

h(x) = 10 cos(x-36.870)

And we can check that:

h(x)= 10 cos (36.870) [cos (x)] + 10 sin (36.870) [sin(x)]= 8 cos (x) + 6 sin (x)

8 0
3 years ago
Help me with dis pls
Iteru [2.4K]

Answer:

53, -84, 24, -38

Step-by-step explanation:

3 0
3 years ago
What is a+ a/5+ 2/5a
Galina-37 [17]

Answer:

8a over 5

Hope this helps :)

Step-by-step explanation:

8 0
3 years ago
Who were the 5 European Powers at 5<br> the beginning of WWI. Select all that<br> Apply
cricket20 [7]
Germany, Italy, Japan (axis powers)
Great Britain, Soviet Union, France (allies)
If you only want 5 take out japan
4 0
3 years ago
Correct answer's only (Highlighted due to glitch) <br> But please help.
andrew-mc [135]
The easiest way is to plug x=-4, y=-1 in the equation to see which one works.
8(-4)-9(-1)=-23
B is correct.
3 0
3 years ago
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