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Rasek [7]
3 years ago
11

Hello If you are reading this you are indeed very cool and you do not deserve a BAD TIME indeed you deserve a GOOD TIME so here

is a lot of points
Mathematics
1 answer:
bixtya [17]3 years ago
8 0

Answer:

Oh if I could hug you

Step-by-step explanation:

tysm you are the best!

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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
Sever21 [200]
\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta

\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}

Since \alpha lies in quadrant II, we have \cos\alpha, so

\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}

\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}

\beta lies in quadrant I, so \sin\beta>0 and

\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}

So

\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}
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3 years ago
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3 0
3 years ago
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Given the system of equations, what is the x-coordinate of the solution?
Nimfa-mama [501]
Answer: Choice C) -11

-----------------------------------

Explanation:

The first equation given is y = 3 - 1/2x
In other words, y is the same as 3 - 1/2x. 
We can replace y in the second equation with 3 - 1/2x
This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)

Doing this leads to...
3x+4y = 1
3x+4*y = 1
3x+4*( y ) = 1
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3x+4*(3) +4*(-1/2x) = 1
3x+12-2x = 1
3x-2x+12 = 1
x+12 = 1
x+12-12 = 1-12 <<-- subtracting 12 from both sides
x = -11
Which is why the answer is choice C) -11
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3 years ago
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15. Express 2/5 as a percentage​
blsea [12.9K]

Answer:

40\%

Step-by-step explanation:

\frac{2}{5}  \times 100 = 40\%

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2 years ago
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The Side-Angle-Side Similarity Postulate states “If the measures of 2 sides of a triangle are proportional to the measures of 2
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True, hope this helps
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