Y= 32 if x= 8, 2 times 16 is 32
Answer: The central angle of the arc is 162 degrees.
Step-by-step explanation: The information available are as follows;
Circumference of the circle equals 10. Length of an arc equals 9/2. The circumference of a circle is given as;
Circumference = 2Pi x r
That means 2Pi x r = 10.
Also the length of an arc along the same circle is 9/2. Length of an arc is calculated as;
Length of arc = (X/360) x 2Pi x r
Where X is the central angle of the arc
That means;
9/2 = (X/360) x 2Pi x r
We can now substitute for the known values as follows
Length of an arc = (X/360) x 2Pi x r
9/2 = (X/360) x 10
9/2 = 10X/360
By cross multiplication we now have
(9 x 360)/(2 x 10) = X
3240/20 = X
162 = X
The angle at the center of the arc is 162 degrees.
Answer:
5/6
Step-by-step explanation:
Answer:
a) Permutation, because the coach has to designate an order in which they will take penalty
b) There are 55,440 different ways for the coach to do this.
Step-by-step explanation:
It the order is not important, we have a combination.
If the order is important, we have a permutation.
In this question:
5 players from a set of 11 and designate an order.
This means that the order is important, and we have a permutation.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

(a) Is this a permutation or a combination? Why?
Permutation, because the coach has to designate an order in which they will take penalty
(b) How many different ways are there for the coach to do this?

There are 55,440 different ways for the coach to do this.
Hope it will help u..............