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joja [24]
3 years ago
6

Find the unknown sides and angles of this triangle using the Law of Cosines. Round to the nearest hundredth.

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

Answer:

Side c = 10.35

Angle A = 50.87°

Angle B = 94.13°

Step-by-step explanation:

The Law of Cosines states that:

a² = b² + c² - 2bcCos A

We are to to find side c, Angle A and B

side a = 14

sides b = 18

Angle C = 35°

1) Side c

= c² = a² + b² - 2abCos C

c² = 14² + 18² - 2 × 14 × 18 Cos 35

c = √(14² + 18² - 2 × 14 × 18 Cos 35)

c = 10.3512

Approximately = 10.35

2) Angle A

Cos A = b² + c² - a²/2bc

A = arc cos (b² + c² - a²/2bc)

A = arc cos (18² + 10.35² - 14²/2 × 18 × 10.35)

A = 50.8737°

A = Approximately = 50.87°

3) Angle B

Cos B = a² + c² - b²/2ac

B = arc cos (a² + c² - b²/2ac)

B = arc cos (14² + 10.35² - 18²/2 × 14× 10.35)

A = 94.13123°

A = Approximately = 94.13°

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Answer:

x = 2.857 [rounded]

Step-by-step explanation:

17 x 2 = 34.

Next, we combine.

34 - 14 = 20.

Lastly, we divide 20 by 7.

20 / 7 = 2.857

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4 0
3 years ago
Please answer a little quiet<br>IT is urgent<br><br>.Factorize: 4(x-y)^2 -9 <br>.Evaluate : 1001×99​
Zarrin [17]

Answer:

1. (2x - 2y)² - 9

2. 99099

Step-by-step explanation:

We know the a+b formula :

(a-b)² = a² - 2ab + b²

1. 4(x-y)^2 -9

4(x² - 2xy + y²) - 9

4x² - 8xy + 4y² - 9

(2x - 2y)² - 9

2. 1001 × 99​

= 99099

1001

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3 0
3 years ago
Does the reference point selected for the properties of a substance have any effect on thermodynamic analysis? Why?
MrMuchimi

Answer:

No, the reference point selected for the properties of a substance does't have any effect on thermodynamic analysis.

Step-by-step explanation:

Consider the provided information.

We need to determine that the reference point selected for the properties of a substance have any effect on thermodynamic analysis.

The answer for this question is No.

The reference point selected for the properties of a substance does't have any effect on thermodynamic analysis.

Because in thermodynamic analysis we are deal with the change in the properties.

If we are doing calculation, the reference state chosen is irrelevant as long as we use values in a single consistent array of tables and charts.

Hence, The reference point selected for the properties of a substance does't have any effect on thermodynamic analysis.

4 0
3 years ago
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astraxan [27]

Answer:

Step-by-step explanation:

6/8 in simplest form is 3/4 but value is still the same so

1. no

3 0
3 years ago
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musickatia [10]

Answer:

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Step-by-step explanation:

L= length

W= Width

Perimeter = 2(L + W)

112 = 2(L + W)

divide both sides by 2 and you get

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L=33

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6 0
3 years ago
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