Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
Answer: The required probability is 
Step-by-step explanation:
Since we have given that
Number of people came into Brad's store = 48
Number of them made a purchase = 40
So, the experimental probability that the next person to come into the store will make a purchase would be
Hence, the required probability is
Answer:
x = ± 
Step-by-step explanation:
Given
x² - 7 = 0 ( add 7 to both sides )
x² = 7 ( take the square root of both sides )
x = ±
Answer:
795.87
Step-by-step explanation:
2,300.46 - 1,504.59 =795.87
Answer:
Adult Ticket Price = $13
Child Ticket Price = $13
Step-by-step explanation:
Let price of adult ticket be "a" and child ticket be "c"
13 adult and 14 child equals $351, so we can write:
13a + 14c = 351
and
2 adult and 7 child equals $117, thus we can write:
2a + 7c = 117
We multiply 2nd equation by (-2) to get:
-2 * [2a + 7c = 117]
= -4a -14c = -234
Adding botht he "bold" equations, we get:
13a + 14c = 351
-4a -14c = -234
------------------------
9a = 117
a = 117/9 = 13
Now to find b, we use the value of a gotten in the first equation:
13a + 14c = 351
13(13) + 14c = 351
169 + 14c = 351
14c = 182
c = 182/14 = 13
Hence,
<em>Adult Ticket Price = $13</em>
<em>Child Ticket Price = $13</em>
