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Vadim26 [7]
2 years ago
14

A right triangle has a length of 30 and a side with a length of 18. A side with a length of 24 is opposite angle theta. What sta

tement about the angle theta is true?
HELP QUICKLY PLEASE

Mathematics
1 answer:
tekilochka [14]2 years ago
7 0

Answer:

\text{A. }\cos \theta = \frac{3}{5}

Step-by-step explanation:

See attached file for complete work.

Download pdf
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Use the quadratic formula to find:

x

=

1

±

√

85

5

Explanation:

5

x

2

−

10

x

−

12

is of the form  

a

x

2

+

b

x

+

c

with  

a

=

5

,  

b

=

−

10

and  

c

=

−

12

This has discriminant  

Δ

given by the formula:

Δ

=

b

2

−

4

a

c

=

(

−

10

)

2

−

(

4

×

5

×

−

12

)

=

100

+

240

=

340

=

2

2

⋅

85

This is positive, but not a perfect square, so the quadratic equation has a pair of irrational roots, given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

=

−

b

±

√

Δ

2

a

=

10

±

√

340

10

=

10

±

2

√

85

10

=

1

±

√

85

5

5 0
3 years ago
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