The correct answer is B trustttttttt
BD is 18
XY is 4
IK is 8
DF is 16
Answer:
See proof below
Step-by-step explanation
cot^2(x) - csc^2(x) = -1
In trigonometry identity
cot^2x = cos²x/sin²x
Csc²x = 1/sin²x
Substitute into the original expression
cos²x/sin²x - 1/sin²x
Find the LCM
(Cos²x-1)/sin²x .... *
Recall that sin²x+cos²x = 1
Sin²x = 1-cos²x
-sin²x = -1+cos²x
-sin²x = cos²x-1 .... **
Substitute ** into *
(Cos²x-1)/sin²x
-sin²x/sin²x
= -1 (RHS)
Therefore cot^2(x) - csc^2(x) = -1 (Proved!)
Same as before, if we take 368 to be the 100%, how much is 20% off that?
so, the discount is that much, thus, the discounted price is then 368 - d.
Answer:
47% and 62%
Step-by-step explanation:
1. Drink
The probability that a student buys a drink is 0.47
Step-by-step explanation:
The probability that a student buys a drink will be given by;
( the number of students who bought a drink)/(the total number of students)
We are told that;
Of the 100 students who came to the movie, 62 bought popcorn and 47 bought a drink. Therefore, the required probability is;
47/100= 0.47
0.47 = 47%
2. Popcorn
For popcorn probability, it's basically the same.
The probabilty that a student buys popcorn is 0.62
The probability that a student buys popcorn will be given by;
( the number of students who bought popcorn)/(the total number of students)
So therefore,
62/100 = 0.62
0.62 = 62%
