Answer:
Step-by-step explanation:
Recall that cos Ф = adj / hyp. If adj = 6 and hyp = 10, then by the Pythagorean Theorem, opp = 8: 6² + 8² = 10²
Then:
sin Ф = opp / hyp = 8/10 or 4/5
cos Ф is given: 6/10 or 3/5
tan Ф = opp / adj: 8/ 6 or 4/3
cot Ф = 1/sin Ф = 10/8 or 5/4
sec Ф = 1/ cosФ = 10/6 or 5/3
csc Ф = 1 / sin Ф = 10/8 or 5/4
Answer:
3x-8>22
Step-by-step explanation:
3 times a number = 3x
8 less = -8
more than 22 = >22
Put them together and you get:
3x-8>22
Answer: C. 
Step-by-step explanation:
Given: Box contains 8 green balls and 4 purple balls.
Total balls = 8+4 = 12
event 1 = first picking green ball
event 2 = second picking purple balls.
As first ball was replaced, that means both events are independent.
Probability that you have selected a green ball and then a purple ball = P(purple ball )
Formula for probability = 
Probability of selecting a purple ball (second pick)= 

The required probability
, so C is correct option.
Answer:
$3,078.04
Step-by-step explanation:
-Given her income is $27,267, she falls under the 10% and 12% brackets with the following boundaries as attached.
-Her tax is then calculated as;
#10% bracket;

#12% Tax bracket:

The total tax=970+2108.04=$3,078.04
Hence, Lynn owes $3,078.04 in taxes.
Answer:
The domain is -11 < x < 4 or in interval notation it is (-11, 4).
Step-by-step explanation:
The domain is the set of possible values of x.
Here the open circles at each end mean that these values are not included.