Answer:
720 different ways.
Step-by-step explanation:
Permutation has to do with arrangement. For example, in order to arrange 'n' objects in any order, this can only be done in n! ways since there is no condition or restriction on how to arrange the objects.
n! = n(n-1)(n-2)... (n-r)!
If there are 3 statistics books, 2 math books, and 1 computer science book on your bookshelf, the total number of books altogether is 3 + 2 + 1 = 6 books.
The number of ways that 6 books can be arranged in any order is 6!.
6! = 6(6-1)(6-2)(6-3)(6-4)(6-5)
6! = 6*5*4*3*2*1
6! = 120*6
6!= 720 different ways.
<em>Hence, the books on your shelf can be arranged in 720 different ways</em>.
As given
Firstly we will multiply both sides by 2.
Now dividing both sides of equation from h.
So b =
First, you have to solve t(x) when x=4, because the crew is working 4 scripts. Which is t(x)=4+6
t(x)=10
Then, you plug in t(x) to c(x).
c(x)=2(10)+4
c(x)=24
Answer:
Step-by-step explanation:
Given the right angled triangle as shown, the angles A, B and C are related to sides a, b and c using the trigonometry ratio known as SOH CAH TOA.
The triangle has three sides namely the hypotenuse (AB), the opposite and adjacent. The hypotenuse is the longest side and the opposite side of the triangle depends on the acute angle in consideration.
When considering acute angle A, the opposite side will be the side facing the angle directly i.e side a.
According to the trigonometry ratio
SOH:
SinA = opposite/hypotenuse = a/c
CAH:
CosA = adjacent/hypotenuse = b/c
TOA:
TanA = opposite/adjacent = a/b
When considering acute angle B, the opposite side will be 'b' and adjacent will be a. Similarly as above;
SinB = b/c
CosB = a/c
TanB = b/a