Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x and cos²x = 1 - sin²x
Consider the left side
← expand numerator/denominator using FOIL
=
= 
= 
= 
= cot²A = right side , thus proven
Yes, I believe they are equivalent because if you were to solve -1/4(10t-15) it would equal -2t+3
Answer:
46
Step-by-step explanation:
(2/5)*115
230/5
46 students
Answer:
$12.27
Step-by-step explanation:
.07 times 179.53 is 12.5671 so rounded to 12.27
Answer: A B
Group A 0.25 0.75
Group B 0.45 0.55
Step-by-step explanation:
Since we have given that
Number of people of A in Group A = 15
Number of people of B in Group A = 45
Number of people of A in Group B = 20
Number of people of B in Group B = 25
Total number of people in Group A = 15+45 = 60
Total number of people in Group B = 20+25 = 45
So, Relative frequencies will be given below:
Relative frequency of A in Group A is given by

Relative frequency of B in Group A is given by

Relative frequency of A in Group B is given by

Relative frequency of B in Group B is given by

Hence, A B
Group A 0.25 0.75
Group B 0.45 0.55