Answer:

Step-by-step explanation:
Objective: Understand and work with trig identies.
Recall multiple trig identies and manipulate them to get from cosecant to secant.
Given

Apply reciprocal identity csc a = 1/sin a.

Apply pythagorean identity to find cos a.



We can simplify both expression


Cosine is positve on quadrant 1 so that cos(a)
Apply reciprocal identity sec a= 1/ cos a.
The answer is

Rationalize the denominator.

Explanation:
The numerator of the rational exponent will be the product of the exponents inside and outside the radical: 5·7=35. The denominator of the rational exponent will be the index of the radical: 6. Then the equivalent expression is x^(35/6)
Due to the fact that the question states there is a 65% chance the bus will be full, that is a very high probability. Therefore, there is only a 35% chance it wont be full. Or you can say it in fractional form: 65/100 chance of it being full, and a 35/100 chance of it being less than full.<span />
Tom will get 166
Ben will get 581
Answer:
Answer below, however this question is worded weirdly
Step-by-step explanation:
x(x - 0.37 ) = 12.6
simplify the equation
x^2 - 0.37x = 12.6
x^2 - 0.37x - 12.6 = 0