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3 years ago

13

Find the reference angle of 14 pie over 11

1 answer:

saw5 [17]3 years ago

8 0

Answer:

Step-by-step explanation:

reference angle=(14 π)/11-π=(14-11)π/11=3π/11

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Prove the divisibility of the following numbers:

Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

$72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}$

In this case, it is easier to also factor the divisor to primes:

$72^{63}=2^{189}\cdot 3^{126}$

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

$2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}$

6 0

3 years ago

A basketball player has a 50% chance of making each free-throw. What is the probability that the player makes at least 11 out of

vitfil [10]

Answer:

100/2048=0.048828125%

Step-by-step explanation:

He has a 50% chance of making each free-throw, so 1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2=1/(2^11)=1/2048

to get a percentage you time by 100 to get 100/2048

8 0

3 years ago

Brainliest !!!!!!!!!! correct and fast answers only!!

NeTakaya

Answer:

D.

Step-by-step explanation:

That is the answer. The complex numbers have opposite real parts.

6 0

3 years ago

Three less than two times a number is 55. What is the number ?

Aloiza [94]

29
2x29=58-3 =55
3-2x (x=29) =55
29x2=58-3

5 0

3 years ago

Read 2 more answers

There are 30 flavors and you can mix up to 3 of them. How many flavor possibilities are there? You can't mix the same flavors mo

miv72 [106K]

If there are 30 flavors and you can have three of them then it is 30^3 who's his 2700 I think that is correct
I hope that is helpful

5 0

3 years ago

Read 2 more answers