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lapo4ka [179]
3 years ago
12

Triangle ABC has 2 known sides. A = 7, b = 5. Angle C = 24.63. What is the value of side c, correct to one decimal place?

Mathematics
1 answer:
Elis [28]3 years ago
5 0
We use the Law of Cosines:
side c² = a² + b² -2ab • cos(C)
side c^2 = 7^2 + 5^2 -(2*7*5*cosine(24.63))
side c^2 = 49 + 25 -(70 * 0.90902)
side c^2 = 74 - <span> <span> <span> 63.6314 </span> </span> </span>
side c^2 = <span> <span> <span> 10.3686 </span> </span> </span>
side c = <span> <span> <span> 3.22

Source:
http://www.1728.org/trigtut2.htm

</span></span></span>
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vodka [1.7K]

Answer:

  OG = 8.7

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is a right angle. That means ΔOGH is a right triangle.

The tangents to a circle from an external point are congruent, so GH = GI = 6.3. Now we know the sides of the right triangle are of lengths 6 and 6.3. The hypotenuse, OG is found using the Pythagorean theorem.

  OG² = OH² +GH²

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  OG = √75.69 = 8.7

The length of OG is 8.7 units.

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<em>Additional comment</em>

You might recognize this triangle as a 0.3 multiple of the Pythagorean triple (20, 21, 29).

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3 years ago
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Katen [24]
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E. Not enough info.

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Answer:

So it will take 6 minutes to ring up 72 items.

Step-by-step explanation:

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I hope this helps!

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5 0
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