8)
is -0.896 radians
9) length of arc is 41.91 cm
Solution:
8)
Given that,

is in quadrant 4
To find: 
From given,

Thus value of
is -51.34 degrees
Convert degrees to radians

Thus
is -0.896 radians
9)
From given,
radius = 15.4 cm

<em><u>The length of arc when angle in radians is:</u></em>

Thus length of arc is 41.91 cm
Answer:
12 possible outcomes.
Sample space:

Step-by-step explanation:
The collection of all possible outcomes of a probability experiment forms a set that is known as the sample space.
1. There are four possible outcomes for the first wheel: F, A, I and R
2. There are three possible outcomes for the second wheel: 1, 2 and 3
So, the sample space is

Answer:
0,05
Step-by-step explanation:
1)First, Let’s find the mean of the data table
12 + 10 + 12 + 6 + 8 + 4 + 2 + 12 = 66
66 ÷ 8 = 8,25
2)12 - 8,25 = 3,75
10 - 8,25 = 1,25
12 - 8,25 = 3,75
6 - 8,25 = -1,75
8 - 8,25 = -0,75
4 - 8,25 = -3,75
2 - 8,25 = -5,75
12 - 8,25 = 3,75
3) 3,75 + 1,25 + 3,75 - 1,75 - 0,85 - 3,75 - 5,75 + 3,75 = 0,4
0,4 ÷ 8 = 0,05
D : c = 33 : 22
where d is the number of dogs and c is the number of cats;
and: d + c = 3030
33 c = 22 d / : 11
3 c = 2 d
From the other equation: c = 3030 - d
3 * ( 3030 - d ) = 2 d
9090 - 3 d = 2 d
5 d = 9090
d = 9090 : 5
d = 1818
Answer: There are 1818 dogs in the shelter.