D I got it in my test and it’s correct
Answer:
210
Step-by-step explanation:
Since the condition does not state an opposite, I should assume that the apples are not distinguishable, same as the pears and the oranges.
So we have permutations of 7 fruits with 2 indistinguishable apples, 3 indistinguishable pears and 2 indistinguishable oranges.
The number of distinguishable arrangements is
7 1x2x3x4x5x6x7
--------- ---------------------- = 210
2x3x2 2x6x2
Answer. There are 210 ways to do it.
2*2*2 or 2^3 is the prime factorizationi of 8
Given that cos Ф = 5/6 I know that one side is 5 and the hypotenuse is 6 so the other side is:
a^2 = c^2 - b^2
a^2 = 6^2 - 5^2
a^2 = 36 - 25 = 11
a =
![\sqrt{11}](https://tex.z-dn.net/?f=%20%5Csqrt%7B11%7D%20)
Now I know that the sin is
![\frac{ \sqrt{11} }{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B11%7D%20%7D%7B6%7D%20)
since sin is defined as opposite/hypotenuse
the second one uses a form of C = pi * d we are going to add the sector part to it.
C = 6 and the central angle is 4 degrees we can set up like this:
![6 = \frac{4}{360}* \pi *d](https://tex.z-dn.net/?f=6%20%3D%20%20%5Cfrac%7B4%7D%7B360%7D%2A%20%5Cpi%20%2Ad%20)
![\frac{6 * 360}{4 * \pi } = d ](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%20%2A%20360%7D%7B4%20%2A%20%20%5Cpi%20%7D%20%3D%20d%0A%20)
d = 171.974
r = 171.94/2 =85.987
The second answer is correct.