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Amanda [17]
4 years ago
15

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 16, b = 17

Mathematics
2 answers:
quester [9]4 years ago
8 0
Law of Sines: sinA/a = sinB/b

so sinB = b * sinA/a = 17 * sin56/16 = 0.88

B = 61.7° or 118.3<span>°
</span><span>

To solve the triangles, C = 180 - A - B

so C = 180 - 56 - 61.7 = 62.3</span><span>°; or

C = 180 - 56 - 118.3 = 5.7</span><span>°

</span>
Mademuasel [1]4 years ago
5 0

Answer:

Triangle 1:

A=56^\circ,\ B=62^\circ,\ C=62^\circ

a=16,\ b=17,\ c=17

Triangle 2:

A=56^\circ,\ B=118^\circ,\ C=6^\circ

a=16,\ b=17,\ c=2

Step-by-step explanation:

Given: A=56^\circ, a=16, b=17

Sine law:

\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}

Substitute the given values into law

\dfrac{\sin 56^\circ}{16}=\dfrac{\sin B}{17}=\dfrac{\sin C}{c}

\dfrac{\sin 56^\circ}{16}=\dfrac{\sin B}{17}

B=62^\circ\ \text{ or }118^\circ

Possible value of C

A+B+C=180^\circ

C=62^\circ\ \text{ or }6^\circ

Triangle 1:

A=56^\circ,\ B=62^\circ,\ C=62^\circ

a=16,\ b=17,\ c=17

Triangle 2:

A=56^\circ,\ B=118^\circ,\ C=6^\circ

a=16,\ b=17,\ c=2

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Dafna1 [17]

Let's see what we can fill in here.

<ACE = 130

180 - 50 = 130

Now that we have two sides and an included angle, we can use the Law of Cosines.

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Let's plug in what we know and solve!

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first
ludmilkaskok [199]

Answer:

The hotel charge in city one before tax is $3750 and the hotel charge in city two before tax is $2250.

tep-by-step explanation:

Let a = the charge in 1st city before taxes

Let b= the charge in 2nd city before taxes

 

Based on the information given . We can have the following equation (1).

 

y = x - 1500  ......(1).

 

Interms of the information given , the following is formulated based on taxed paid .

 

0.065x + 0.06y = 378.75  .....(2).

Now we substitute equation (1) into (2).

 

0.065x + 0.06(x - 1500) = 378.75

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Now x value into equation (1)

 

y = 3750 - 1500

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The hotel charge in city one before tax is $3750 and the hotel charge in city two before tax is $2250.

 

8 0
3 years ago
Solutions of the equation: z2 - 12z + 36 = 0?
jasenka [17]
36 becomes a negative 

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Next: -18 + -2 = -20 
Next: -12 + -3 = -15
Next: -9 + -4 which equals -13
Finally we get to the last part: -6 + -6 = -12

We change z2 to z^{2}

z^{2} - 6(z) = 36 

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Because, we add up for the first two terms

Switch up, up the problem 6(z) - 6

Now, let's add the number 4 on the terms 
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Then, let's multiply z - 6 from z - 6 

z - 6^{2} = ? &#10;

From this problem we have to add 6 from the sides that we are working with 

Therefore, your answer for z is 6 
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