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2 years ago

14

Find the exact value of sin(255∘)

1 answer:

Masteriza [31]2 years ago

5 0

Check the picture below.

$\textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(255^o)\implies sin(135^o+120^o) \\\\\\ sin(135^o)cos(120^o)~~ + ~~cos(135^o)sin(120^o) \\\\\\ \left( \cfrac{\sqrt{2}}{2} \right)\left( -\cfrac{1}{2} \right)~~ + ~~\left( -\cfrac{\sqrt{2}}{2} \right)\left( \cfrac{\sqrt{3}}{2} \right)\implies -\cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies \cfrac{-2-\sqrt{6}}{4}$

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How do you do question b?

notsponge [240]

Part (b)

We use the result of part (a) and plug in (x,y) = (0,0). This is directly from the initial condition y(0) = 0.

$\arcsin(4y) = x^2 + C\\\\\arcsin(4*0) = (0)^2 + C\\\\\arcsin(0) = C\\\\0 = C\\\\C = 0\\\\$

-----------------

This means,

$\arcsin(4y) = x^2 + C\\\\\arcsin(4y) = x^2 + 0\\\\\arcsin(4y) = x^2\\\\4y = \sin(x^2)\\\\y = \frac{1}{4}\sin(x^2)\\\\$

is the solution with the initial condition y(0) = 0.

6 0

2 years ago

3. Subtract 1.7 - 0.8 = _____ tenths - _____ tenths = _____ tenths = ______ what are the tenths

ANTONII [103]

Answer:

17 tenths - 8 tenths=9 tenths

Step-by-step explanation:

1.7 tenths is 17 tenths, we can see that by multiplying 1.7x10 to get 17

dot he sam with 0.8 to get 8 tenths

ti find the answer, subtract the units. 17-8=9

4 0

3 years ago

Mr. Sanchez’s class sold fruit pies for $1.73 each and Mr. Kelly’s class sold bottles of fruit juice for $1.44 each. Together, t

-Dominant- [34]

Answer:

p = 39 f = 44

Step-by-step explanation:

p = $ 1.73

f = $ 1.44

<u><em>equation </em></u>

p + f = 83

1.73 p + 1.44 (83 - p) = $ 130.83

p = 39 (amount of times fruit pies were sold).

Therefore,

<em>p = 39</em>

<em>f = 44</em>

4 0

1 year ago

Which in is it.........

ANTONII [103]

I haven't done these problems in a really long time, so there's a chance that my answer might be wrong. I hypothesize that the correct answer is C.

8 0

3 years ago

(5x - 7) + (10x 7) = 180

goldfiish [28.3K]

15x=180
x=12

hope this helps

4 0

2 years ago