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3 years ago

1-sin60÷cos60=1-Tan30÷1+Tan30

Mathematics

1 answer:

ipn [44]3 years ago

8 0

Step-by-step explanation:

LHS=(1-sin60)/cos60

=(1-√3÷2)/1÷2

=2(1-√3÷2)

=2-√3

RHS=(1-tan30)/(1+tan30)

={1-(1÷√3)}/{1+(1÷√3)}

={(√3-1)/√3}/{(√3+1)/√3}

=(√3-1)/(√3+1)

={(√3-1)(√3-1)}/{(√3+1)(√3-1)}

=(3-√3-√3+1)/(3-1)

=(4-2√3)/2

=2-√3

Therefore LHS=RHS

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The answer to this question is 1/6

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3 years ago

A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?

Marizza181 [45]

Answer:

63 books per capita in the library

Step-by-step explanation:

Given

$Books = 2.73 * 10^3$

$People = 43$

Required

Determine the book per capita

To do this, we simply divide the number of books by number of person;

$Average = \frac{Books}{People}$

$Average = \frac{2.73 * 10^3}{43}$

$Average = \frac{2.73 * 1000}{43}$

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3 years ago

Find the solution of y = 3x + 3 for x = –3.

mixas84 [53]

Answer:

Step-by-step explanation:

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3 years ago

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How do you solve this

UNO [17]

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3 years ago

Miss Berk has 8 pairs of pajama pants and 3 pairs of slippers. Three pairs of the pajama pants are Harry Potter themed and one p

shusha [124]

The probability that both items will be Harry Potter themed is 1/8.

<u>Step-by-step explanation:</u>

Total Number of pajama pants n(P) =8

Total number of slippers n(S)= 3

Number of Harry Potter themed Pajama pants n(H.P)=3

Number of Harry Potter themed slippers n(H.S)=1

We have to determine the probability of selecting pants and slippers that are both Harry Potter themed.

If two events A and B are independent, then the probability of A and B is given by

P(A and B)=P(A)*P(B)

Here the events selecting Harry potter themed pants and selecting harry Potter themed slippers are independent.

$P(Harry\ Potter\ pants)=\frac{n(H.P)}{n(P)}$

$=\frac{3}{8}$

$P(Harry\ Potter\ slippers)=\frac{n(H.S)}{n(S)} \\ =1/3$

$P(Harry\ Potter\ pants\ and\ Harry\ Potter\ slippers)=P(Harry Potter pants)\times P(Harry potter slippers)$

$=\frac{3}{8}\times \frac{1}{3} =\frac{1}{8}$

Hence probability of selecting Harry potter themed pants and Harry potter themed slippers is 1/8

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3 years ago

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