Cot(x)sec(x) =
(cos(x)/sin(x))(1/cos(x))=
cos(x)/(sin(x)cos(x)) =
1/sin(x) =
csc(x)
<u>Answer:</u>
First car: 35 gallons
Second car: 15 gallons
<u>Step-by-step explanation:</u>
Assuming
to be the gas consumed by 1st car and
to be the gas consumed by 2nd car.
We know that:
Distance traveled = fuel efficiency × gas consumed





So
Therefore, first car consumed 35 gallons while second car consumed 15 gallons.
1/6.
For any given roll on a four-sided die, there is exactly one roll on a six-sided die (1/6 chance) which will sum to 7.
Since it doesn’t matter what you roll on the four-sided die, the chance is always 1/6 with a fair six-sided die.
One interesting result of this is that only the 6-sided die has the be fair for this result to hold. The 4-sided die can be very biased in any direction and the final result will still be 1/6.