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GarryVolchara [31]
3 years ago
13

Find tan(ZA) 20/21 21/20 21/29 20/29

Mathematics
1 answer:
lawyer [7]3 years ago
6 0
I don’t know

You have to multiply the Asian Brothers by the Asian brothers
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A European high-speed passenger train is made up of two first-class passenger cars, five second-class cars, and a restaurant car
Sliva [168]

Answer:

The train can be made up in a total of \frac{8!}{5!2!} ways

Step-by-step explanation:

FIrst, lets assume that all cars are distinct. If that is the case, then, since we have a total of 8 cars, we have

- 8 possibilities for the first car

- 7 possibilities for the second car

- 6 possibilities for the third car

and so on.

So we have a total of 8! = 8*7*6*...*3*2*1 possibilities to make a train.

Now lets take into account that 5 of the cars are identical within each other. Then we could make a permutation of those 5 cars and we wouldnt notice. Hence, the order of the 5 cars of second-class doesnt matter and as a result, we should divide 8! by the total of possible permutations of the 5 second class cars, that it, 5!

We also need to divide the result by 2! = 2, because which first class car came first doesnt matter either. Therefore, the train can be made up in a total of \frac{8!}{5!2!} ways.

8 0
3 years ago
The coefficient of x^2 in the expansion of (1+2x)^n is 60. given that n>0, find the value of n.​
Nitella [24]

<u>n=6</u>

Answer:

Solution given:

The coefficient of x^2=60

we have,

(a+x)^n=C(n,0)a^n+C(n,1)a^(n-1)x+C(n,2)a^(n-2)x^2+C(n,3)a^(n-3)x^3....C(n,r)a^(n-r)x^r+C(n,n)x^n

we get x² in 3rd term,so

3rd term of  (1+2x)^n is C(n,2)*1^n-2)(2x)^2=C(n,2)4x²

since 1^n is 1.

we have a coefficient of x^2 is 60, so

C(n,2)4=60

C(n,2)=60/4

\frac{n!}{(n-2)!*2!}=15

\frac{n(n-1)(n-2)!}{(n-2)!*2!}=15

n(n-1)=15*2

n^2-n=30

n^2-n-30=0

doing middle term factorization

n^2-6x+5x-30=0

n(n-6)+5(n-6)=0

(n-6)(n+5)=0

either n-6=0

n=6

or,

n+5=0

n=-5 since n>0

so neglected.

<u>So the value of n is 6.</u>

Step-by-step explanation:

8 0
2 years ago
Please answer thisss &lt;3
lawyer [7]

Answer:

i think . it is c

Step-by-step explanation:

5 0
3 years ago
Question is in the pic.
Andrews [41]

Answer is C as all other choices are even numbers therefore make the equation non-integer.

5 0
2 years ago
Read 2 more answers
1. What is the slope of the line that passes through the given points? <br> (2, 12) and (6, 11)
Y_Kistochka [10]

Answer:

-1/4x

Step-by-step explanation:

11-12/6-2 = -1/4

8 0
3 years ago
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