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3 years ago

Help me please...........

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

7 0

Answer:

6/19

Step-by-step explanation:

marysya [2.9K]3 years ago

6 0

Answer:

6/19 subtracting 3 each time form the numerator

Step-by-step explanation:

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Finish the pattern<br> 18, 21, _ , 24, _ , 30

omeli [17]

Goes +3
18, 21, 24, 27, 30

4 0

3 years ago

Read 2 more answers

Inspecting Restaurants How many different ways can a city health department inspector visit restaurants in a city with restauran

tankabanditka [31]

Answer:

252 ways

Step-by-step explanation:

The missing details are:

$n = 10$ --- total restaurants

$r = 5$ --- restaurants to visit

Required

The number of ways to perform the visitation

The question is an illustration of combination;

So, we have:

$^nC_r = \frac{n!}{(n - r)!r!}$

This gives:

$^{10}C_5 = \frac{10!}{(10 - 5)!*5!}$

$^{10}C_5 = \frac{10!}{5!*5!}$

Expand

$^{10}C_5 = \frac{10*9*8*7*6*5!}{5!*5*4*3*2*1}$

Cancel out 5!

$^{10}C_5 = \frac{10*9*8*7*6}{5*4*3*2*1}$

$^{10}C_5 = \frac{30240}{120}$

$^{10}C_5 = 252$

4 0

3 years ago

Solve 1 + cos theta = 2 cos^2 theta

valentina_108 [34]

$~~~~1+ \cos \theta = 2 \cos^2 \theta \\\\\implies 2\cos^2 \theta -\cos \theta -1 = 0\\\\\implies 2 \cos^2 \theta -2\cos \theta + \cos \theta -1 = 0\\\\\implies 2 \cos \theta( \cos \theta -1) +(\cos \theta -1)=0\\\\\implies (\cos \theta -1)(2 \cos \theta +1)=0\\\\\implies \cos \theta = 1, ~~\cos \theta = -\dfrac 12\\\\\implies \theta = 2n\pi,~~~ \theta = 2n\pi \pm \dfrac{2\pi}3$