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tatuchka [14]
3 years ago
12

Please show work!!!!!!

Mathematics
2 answers:
Zina [86]3 years ago
8 0

Answer:

\frac{4\sqrt{5} }{5}

Step-by-step explanation:

Rationalise the denominator by multiplying both the numerator and denominator by \sqrt{30}, that is

\frac{4\sqrt{6} }{\sqrt{30} } × \frac{\sqrt{30} }{\sqrt{30} }

= \frac{4\sqrt{180} }{30}

= \frac{4\sqrt{36(5)} }{30}

= \frac{4(6)\sqrt{5} }{30}

= \frac{24\sqrt{5} }{30}

= \frac{4\sqrt{5} }{5}

likoan [24]3 years ago
5 0

Answer:

\frac{4\sqrt{5} }{5}

Step-by-step explanation:

\frac{4\sqrt{6} }{\sqrt{30} } =\frac{\sqrt{30} *4*\sqrt{6} } \sqrt{30} {\sqrt{30} } \\\\

\frac{4\sqrt{6*30} }{30} =\frac{4*\sqrt{180} }{30} =\frac{4*\sqrt{36*5} }{30} = \\\\\frac{4*6\sqrt{5} }{6*5} =\frac{4\sqrt{5} }{5}

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In a certain region, 6% of a city’s population moves to the surrounding suburbs each year, and 4% of the suburban population mov
Charra [1.4K]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Following are the differential equation:

\to P(C,S)t+1 = P(C,S)t+(- 0.06Ct +0.04St, 0.06Ct - 0.04St ) \ \ \ \\\\or \ \ \ \ \ \ \ \\\\ \to (0.94Ct + 0.04St, 0.96St + 0.06Ct)

In equation:

\to t = 0, \ as \ 2019\\\\\to Ct = 10,000,000  \\\\\to St = 800,000,000\\

\to P(C, S)1 = (0.94Ct + 0.04St, 0.96St + 0.06Ct) \\\\

                   = (0.94(10000000) + 0.04(800000), 0.96(800000) + 0.06(10000000))\\\\ = (9,400,000 + 32,000), (768,000 +6000000))\\\\ = (9432000, 1368000)

\to P(C, S)2 = (0.94(9432000) + 0.04(1368000), 0.96(1368000) + 0.06(9432000))

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3 0
3 years ago
From the top of a lighthouse the angle of depression of a speed
otez555 [7]

Answer:

164m (to 3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

5 0
2 years ago
Divide round your answer to the nearest hundredth 1divide3
salantis [7]
1 divided by 3
\frac{1}{3}
Turn fraction into decimal
0.333
Since it is repeating, and it's a 3, you don't need to round it up
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19 + x = = 40 + 04x
x - 0.4x = 40 - 19
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8 0
3 years ago
How are angles 14 and 15 related in that picture ^
maw [93]
They are opposite side interior angles and they are exactly the same degree
5 0
3 years ago
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