Answer:
The cost of 5 gallons of fuel would be 5x assuming the cost of 1 gallon to be x.
Step-by-step explanation:
An old truck has a fuel efficiency rating of 12 mpg.
We have to find the cost of gasoline that will be used up after we drive 60 miles.
To drive 60 miles , it uses 5 gallons.
let the cost of 1 gallon of fuel be x.
We have to find the cost of 5 gallons of fuel.
So the cost of 5 gallons of fuel = 5
= 5x
Answer:
see explanation
Step-by-step explanation:
(4)
consider the left side
factor the numerator
cosx - cos³x = cosx(1 - cos²x)
cancel sinx on numerator/denominator
= cosxsinx =right side ⇒ verified
(5)
Consider the left side
expand the factors
(1 + cotΘ)² + (1 - cotΘ)²
= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ
= 2 + 2cot²Θ
= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ
= 2cosec²Θ = right side ⇒ verified
(6)
Consider the left side
the denominator simplifies to
cosxtanx = cosx × = sinx
= sinx( +
)
= +
= tanx + 1 = right side ⇒ verified
