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Kryger [21]
3 years ago
11

Describe the three situations when you can use the Law of Sines.

Mathematics
1 answer:
adell [148]3 years ago
4 0
<span>The tricky part of the law of sines is knowing when you are able to use it. Whether you can use the law of Sine's or not depends on what information you have or were given. In some cases the information you were given could make two different triangles. There are three times when you can use the law of sines. One example of when you can use it is when you have the length of a side and the measures of both the angles that that side is adjacent to. This is called angle side angle or asa for short. Another time when you can use the law of sines is when you are given the measures of two angles and a side that is outside the angles. This is called aas. Finally the last case where you can use the law of sines is when you have two side lengths and the measure of an angle. Math teachers refer to this one as ssa, I remember that this one is special. If you are given the measure of an angle and two sides you could have two different triangles.</span>
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PLEASE HELP ME!!!! WILL GIVE 5 STAR, THX, AND BRAINLIEST!!
Elis [28]
E fs ik that for a fact and maybe that’s all?
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3 years ago
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Can someone help me figure out the answer?
olga_2 [115]

Answer:

y = -2x +15

Step-by-step explanation:

The point-slope form of the equation for a line through (h, k) with slope m is ...

... y - k = m(x - h)

For your point (h, k) = (5, 5) and slope m = -2, the equation in point-slope form is ...

... y - 5 = -2(x - 5)

Simplifying, we get

... y - 5 = -2x +10

Adding 5 puts the equation into slope-intercept form, as you want.

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8 0
3 years ago
Given the functions k(x) = 2x2 − 7 and p(x) = x − 4, find (k ∘ p)(x). (k ∘ p)(x) = 2x2 − 8x + 16 (k ∘ p)(x) = 2x2 − 16x + 32 (k
Anuta_ua [19.1K]

Answer:

<h2>(k ∘ p)(x) = 2x² - 16x + 25</h2>

Step-by-step explanation:

k(x) = 2x² - 7

p(x) = x - 4

To find (k ∘ p)(x) substitute p(x) into k(x),

that's replace any x in k(x) by p(x)

We have

(k ∘ p)(x) = 2(x - 4)² - 7

Expand

(k ∘ p)(x) = 2( x² - 8x + 16) - 7

= 2x² - 16x + 32 - 7

Simplify

We have the final answer as

<h3>(k ∘ p)(x) = 2x² - 16x + 25</h3>

Hope this helps you

3 0
3 years ago
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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Help please! show work
e-lub [12.9K]
Your answers are
A = 35.7°
B = 67.6°
C = 76.7°

cosine law

a^2 = b^2 + c^2 -2bc \cos A \\&#10;-2bc \cos A = a^2 - b^2 - c^2 \\ \\&#10;\cos A = \dfrac{a^2 - b^2 - c^2}{-2bc} \\ \\&#10;A = \cos^{-1}\left[ \dfrac{a^2 - b^2 - c^2}{-2bc} \right] \\ \\&#10;A = \cos^{-1}\left[ \dfrac{12^2 - 19^2 - 20^2}{-2(19)(20)} \right]  \\ \\&#10;A = 35.723697

A = 35.723697
sine law for the rest of the angles

\displaystyle&#10;\frac{\sin B}{b} = \frac{\sin A}{a} \\ \\&#10;\sin B = \frac{b \sin A}{a} \\ \\&#10;B = \sin^{-1} \left[ \frac{b \sin A}{a}  \right] \\ \\&#10;B = \sin^{-1} \left[ \frac{19 \sin 35.723697 }{12}  \right]  \\ \\&#10;B \approx 67.58886795

B = 67.58886795
All angles in triangle sum to 180 so find C with that

A + B + C = 180
C = 180 - A - B
C = 180 - 35.723697 - 67.58886795
C = 76.7°

7 0
3 years ago
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