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Ainat [17]
3 years ago
12

Find C and round to the nearest tenth.

Mathematics
2 answers:
GalinKa [24]3 years ago
8 0

Answer:

29.4 degrees

Step-by-step explanation:

i divided sin by 55 degrees

Yuki888 [10]3 years ago
4 0
We know all the side lengths so can use law of cosines. a=90, b=55, and c=50.
2500=8100+3025-2(90)(55)cos(C)
cos(C)=.8712
C=arccos(.8712)=29.4 degrees
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OPTION C: $ \textbf{37} \frac{\textbf{28}}{\textbf{8}} $ pounds.

Step-by-step explanation:

From the figure we can see that there are three dots against $ 3 \frac{7}{8} $.

That means it becomes $ 3 \times 3\frac{7}{8} $.

Note that if there is a mixed fraction of the form $ a \frac{b}{c} $   =   $ a + \frac{b}{c} $.

Therefore, $ 3 \times 3\frac{7}{8} = 3 \times \bigg(3 + \frac{7}{8} \bigg ) $                ... (1)

Similarly, against 4 there are 2 dots.

So, it should be $ 4 \times 2  $ pounds.                   ...(2)

3 dots against $ 4 \frac{1}{8} $.

So, it becomes $ 3 \times \bigg(4 + \frac{1}{8} \bigg) $                       ...(3)

Similarly, 2 dots against $ 4 + \frac{2}{8} $.

This will become $ 2 \times \bigg( 2 + \frac{2}{8} \bigg) $                  ...(4)

Now, to calculate the total pound, we simply add (1), (2), (3) & (4).

⇒    $  3 \times \bigg(3 + \frac{7}{8} \bigg ) $     $ + $      $ 4 \times 2 $       +     $ 3 \times \bigg(4 + \frac{1}{8} \bigg) $       $ + $        $ 2 \times \bigg( 2 + \frac{2}{8} \bigg) $

⇒    $ 9 + \frac{21}{8} + 8 + 12 + \frac{3}{8} + 8 + \frac{4}{8} $

⇒    $  \bigg ( 9 + 8 + 12 + 8 \bigg) + \bigg( \frac{21 + 3 + 4}{8} \bigg ) $

⇒ $ \textbf{37} \textbf {+} \frac{\textbf{28}}{\textbf{8}} $  $ \textbf{=} \hspace{1mm} \textbf{37} \frac{\textbf{28}}{\textbf{8}} $ which is the required answer.

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