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kolbaska11 [484]
2 years ago
8

Use the Law of Sines to find the length of AC

Mathematics
1 answer:
ddd [48]2 years ago
3 0
<h3>Answer:  30.78181 meters</h3>

The value is approximate. Round that however you need to.

========================================================

Explanation:

  • lowercase a = side opposite angle uppercase A
  • lowercase b = side opposite angle uppercase B
  • b = AC

Using the law of sines, we can say:

a/sin(A) = b/sin(B)

45/sin(30) = b/sin(20)

b/sin(20) = 45/sin(30)

b = sin(20)*45/sin(30)

b = 30.78181 approximately

You'll need to make sure your calculator is in degree mode.

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Compute the value of the discriminant and give the number of real solutions of the quadratic equation. 4x^2-7x+2=0
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Answer:

Discriminant is 17 and it has 2 real roots.

Step-by-step explanation:

To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.

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• b^2-4ac=0 yields 1 real root

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4x^2-7x+2=0 where a=4, b=-7, and c=2

b^2-4ac=(-7)^2-4(4)(2)=49-32=17.

It has 2 real roots


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