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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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What is -3(2x-3)=-15
Oksanka [162]

Answer:

18

Step-by-step explanation:

-3(2x-3)

-3x(-6)

-3x-6=18 because the negatives cancel each other out.

7 0
3 years ago
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Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

g(0)=-2(0)+3=3

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
Ignacio is curious about the average age of cars in the commuter lot at Mis large university. He takes a random
spin [16.1K]

Answer:

Between 12.614 years and 16.386 years

Step-by-step explanation:

Given that:

Mean age (μ) = 14.5 years, standard deviation (σ) = 4.6 years, number o sample (n) and the confidence interval (c) = 90% = 0,9

α = 1 -c = 1 -0.9 = 0.1

\frac{\alpha }{2}  = \frac{0.1}{2} = 0.05

The z score of \alpha /2 is the same as the z score of 0.45 (0.5 - 0.05). This can be gotten from the probability distribution table. Therefore:

z_{0.05}=1.64

The margin of error (e) = z_{0.05}\frac{\sigma}{\sqrt{n} } = 1.64*\frac{4.6}{\sqrt{16} }=1.886

The interval = μ ± e = 14.5 ± 1.886 = (12.614 ,16.386)

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3 years ago
Can someone help me on this I'm stuck
emmainna [20.7K]
The answer is 7/16 in decimal it would be 0.4375 hope this helps
4 0
3 years ago
Last day I can do this test
avanturin [10]

Answer:

Had the same question, the answer was d

Step-by-step explanation:

Hope it helps!

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