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Semenov [28]
2 years ago
15

How can you write the expression with a rationalized denominator? square root of three minus six over square root of three plus

six
Mathematics
1 answer:
kirill [66]2 years ago
6 0

Answer:

- (\frac{15 - 4\sqrt{3} }{11} )

Step-by-step explanation:

\frac{\sqrt{3}-6}{\sqrt{3} +6} = \frac{(\sqrt{3}-6)(\sqrt{3}-6)}{(\sqrt{3} +6)(\sqrt{3} -6)}

= \frac{(\sqrt{3})^2 - (2\times6\times\sqrt{3}) +6^{2}   }{(\sqrt{3})^2 - 6^{2}}  = \frac{9 - 12\sqrt{3} + 36}{3 - 36}

\frac{45 -12\sqrt{3}  }{-33} =- (\frac{15 - 4\sqrt{3} }{11} )

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2 years ago
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Triangle pqr is a right triangle. what is the best approximation of the length of segment pq? (Note:tan76°)
andrew11 [14]

Answer:

PQ = 16.04cm

Step-by-step explanation:

θ = 76°

QR = 4cm

PQ = ?

Since it's a right angle triangle,

QR = adjacent

PQ = opposite

Tanθ = opposite/adjacent

Tan76 = pq / 4

PQ = 4tan76

PQ = 4 * 4.010

PQ = 16.04cm

4 0
3 years ago
Can anyone solve this for me
REY [17]
The answer is B. hope i helped
5 0
3 years ago
The solution for the system equations 8x-6y=-32 and -8x+5y=36
Ghella [55]

Answer:

x=47, y=68

Step-by-step explanation:

Add the two equations. Then we get

-y=-68

y=68

Substituting the value of y in the first equation,

8x-6(68)=-32

8x-408=-32

8x=376

x=47

6 0
2 years ago
13 divided by $85.02
Salsk061 [2.6K]
The answer is 0.15290519877
6 0
3 years ago
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