Answer:
See below
Step-by-step explanation:
cos (180 + x) = - cos x
sin (360 + x) = sin x
sin 360 - x) = -sin x
cos (180 - x) = - cos x
3cos (180° + x)sin (360° - X) = -3cos x (- sin x) = 3 cosx sinx
sin (360° + x)cos (180° - x) = sin x (- cos x) = -sinx cosx
3cos (180° + x)sin (360° - X)sin (360° + x)cos (180° - x)
= 3 cosx sinx (-sinx cosx) = -3 (sin x)^2 (cos x)^2
I am not sure what the question really is, but hopefully the above can steer you in the right direction.
Answer:
There are 67626 ways of distributing the chairs.
Step-by-step explanation:
This is a combinatorial problem of balls and sticks. In order to represent a way of distributing n identical chairs to k classrooms we can align n balls and k-1 sticks. The first classroom will receive as many chairs as the amount of balls before the first stick. The second one will receive as many chairs as the amount of balls between the first and the second stick, the third classroom will receive the amount between the second and third stick and so on (if 2 sticks are one next to the other, then the respective classroom receives 0 chairs).
The total amount of ways to distribute n chairs to k classrooms as a result, is the total amount of ways to put k-1 sticks and n balls in a line. This can be represented by picking k-1 places for the sticks from n+k-1 places available; thus the cardinality will be the combinatorial number of n+k-1 with k-1, .
For the 2 largest classrooms we distribute n = 50 chairs. Here k = 2, thus the total amount of ways to distribute them is .
For the 3 remaining classrooms (k=3) we need to distribute the remaining 50 chairs, here we have ways of making the distribution.
As a result, the total amount of possibilities for the chairs to be distributed is 51*1326 = 67626.
First see what 4 could go by and the answer closest to 18 that is not more than the answer is the first number of the answer.
4×1=4
4×2=8
4×3=12
4×4=16
In this case 4 is the first number of the answer because if you fo 4 by 5 it equals 20 , which is more than the answer
4×5=20
after that , you subtract the answer, 18 minus 16 which is 2 because nothing times 4 equals 2
So the remainder is 2/4 or .50
If you have any questions about this please don't hesitate to ask me
Answer:
B
Step-by-step explanation:
1. Lets focus on 55^5
55^5 = 11^5 * 5^5
2. now on 65
65 = 5 * 13
3. now on 9^15
9^15=(3^2)^15 = 3^30
4. combine all three parts
11^5 * 5^5 * 5 * 13 * 3^30 = 11^5*5^6*13*3^30
so our answer is B
Answer:
$2,400
Step-by-step explanation:
We get 10% of 4,000 by dividing 4,000 by 10.
4,000 ÷ 10 = 400
To get the amount that 4,000 is subtracted by we multiply 400 by 4.
400 × 4 = 1,600
To get the answer we subtract 4,000 by 1,600.
4,000 - 1,600 = 2,400
Hope I helped!