Answer:
Exact form: 
Decimal form: 
The solution for x is: The solution for x is of 10.455º
Step-by-step explanation:
We are given the following equation:

Placing into the desired format, the exact format is:

In the decimal part, we divide 8 by 9. So

Solving for x:
We apply the inverse sine. So




The solution for x is of 10.455º
Answer:
Step-by-step explanation:
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Answer:
C = 0.65x + 145
Step-by-step explanation:
Assume:
Number of miles = x
Annual maintenance = $145
Total reimbursement = C = $0.65*x + $145 = $0.65x + $145
Split up the interval [2, 5] into

equally spaced subintervals, then consider the value of

at the right endpoint of each subinterval.
The length of the interval is

, so the length of each subinterval would be

. This means the first rectangle's height would be taken to be

when

, so that the height is

, and its base would have length

. So the area under

over the first subinterval is

.
Continuing in this fashion, the area under

over the

th subinterval is approximated by

, and so the Riemann approximation to the definite integral is

and its value is given exactly by taking

. So the answer is D (and the value of the integral is exactly 39).