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lions [1.4K]
3 years ago
9

Find all angles, 0 ≤C<360 that satisfy the equation below, to the nearest tenth of a degree.

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0

Move all the terms involving the sine to one side, and all the numbers to the other:

9\sin(c)-2=\sin(c)-7 \iff 8\sin(c) = -5\iff \sin(c)=-\dfrac{5}{8} \iff c = \arcsin\left(-\dfrac{5}{8}\right)\approx 321.3

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Solve for x in the triangle. Round your answer to the nearest tenth.
kramer

Answer:

<h2>x = 10.3</h2>

Step-by-step explanation:

Use sine.

sine=\dfrac{opposite}{hypotenuse}

We have:

opposite=x\\hypotenuse=16

\sin40^o\approx0.6428        <em>look at the table in the picture</em>

Substitute:

\dfrac{x}{16}=0.6428         <em>multiply both sides by 16</em>

x=10.2848\to x\approx10.3

5 0
3 years ago
Solve the equation. X/4 + 10 = 16
NARA [144]

Answer:24

Step by step explanation:

6 0
3 years ago
Read 2 more answers
Find K if K divided by 64 equals 4
pshichka [43]

Solve:

\frac{k}{64}=4

We need to isolate k, so multiply both sides by the denominator, which is 64. When we do that, the fraction will cancel and we get:

k=256

If you want to check, plug in your answer to the original equation and see if it is true:

\frac{256}{64}=4

4=4

This statement is true, so k=256.

4 0
3 years ago
Read 2 more answers
I'm not sure what this means, please help me I'll give you 10 points ;)
Karo-lina-s [1.5K]

<u>Answer:</u>

So all the possible solutions are:

  • \bold{523,~400,~379~and,~378.6}

<u />

<u>Solution Steps:</u>

<em>First you need to solve the real inequality to understand how to find the rest of the possible equations. </em>

<u>Add 78 to both sides:</u>

  • <u />78+78= Cancels Out
  • 300+78=378

<em>So now we know the real answer, but it ask for all possible answers. </em>

(Means anything larger than 300 when you plug it into x - 78 > 300.)

<u>Numbers that are greater than 378:</u>

  1.)  377-78=299 > 300  (False)

  2.)  523-78=445>300  (True)

  3.)  0-78=-78>300  (False)

  4.)  -62-78=-140>300  (False)

  5.)  400-78=322>300  (True)

  6.)  379-78=301>300  (True)

  7.)  222-78=144>300  (False)

  8.)  378.6-78=300.6>300 (True)

______________________________

 \bold{Hope~this~helps!}\\\bold{If~you~need~help~with~anything~else,~feel~free~to~ask!}\\\\\bold{~~~~~-TotallyNotTrillex}

5 0
3 years ago
S = ut + 12 at?<br> u= 10<br> a = -2<br> t =<br> Work out the value of s.
Stella [2.4K]
S = (10 x1 /2) + (1/2x- 2x 1/2²)
5 + (-0.25)
= 4.75
7 0
3 years ago
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