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ikadub [295]
2 years ago
14

Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for ever

y lap she ran. How many laps did Antonia run?
Mathematics
1 answer:
SIZIF [17.4K]2 years ago
5 0

Answer:

30

Step-by-step explanation:

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Solve this equation with variables on both sides- 3x=5x+18 show all steps
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HELP PLEASE<br> A. 51.4<br> B. 50.0<br> C. 31.0<br> D. 39.5<br> E. None
Liono4ka [1.6K]
First, in order to find the length of side w, you must first find the angle W. 
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180 - 130 = 50
So angle W is 50 degrees
Now using this, we can use law of sines.
\frac{w}{sin50} =  \frac{31}{sin37}
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8 0
3 years ago
3sina-4sin4a/sin5a<br> if a=-45 degree
Ierofanga [76]

Given:

The given expression is:

\dfrac{3\sin a-4\sin 4a}{\sin 5a}

To find:

The value of the given expression at a=-45.

Solution:

We have,

\dfrac{3\sin a-4\sin 4a}{\sin 5a}

Substituting a=-45, we get

\dfrac{3\sin (-45)-4\sin [4(-45)]}{\sin [5(-45)]}

=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (225)}

=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (180+45)}

=\dfrac{-3\sin (45)+4\sin (180)}{\sin (45)}

On substituting \sin (180), we get,

=\dfrac{-3\sin (45)+4(0)}{\sin (45)}

=\dfrac{-3\sin (45)+0}{\sin (45)}

=\dfrac{-3\sin (45)}{\sin (45)}

=-3

Therefore, the value of the given expression at  a=-45 is -3.

8 0
2 years ago
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