Answer:
57 miles per hour
Step-by-step explanation:
Speed is equal to distance over time
I changed the fractions to decimals for ease of math
distance = 370 .5 miles
time = 6.5 hours
Speed = 370.5/6.5 = 57 miles/hour
To find the height of the lighthouse, use

to get that h = 14 (the tangent of 45 is 1). Now for the next question, you have to use the height you just solved for to find angle y. Use

and the inverse tangent button on your calculator tells us that the angle is 28.3. Now for the last question, use the supplement of 45 to get that the angle adjacent to y is 135. 180 - 135 - 28.3 = 16.7 That's your x value.
22 diameter and 11 radius
In constructing an inequality, you need to know the following:
1. What don't we know? How many songs can be bought? So, let x be the numbers of songs.
2. What do we know? Each songs costs $2 plus a fee for using the artist's site of $5.
3. Is there more than 1 possible solution? Yes, because there is enough money left if she only bought 1 song.
The meaning of no more than $40 means it must not exceed $40, $40 or less, or only $40.
So, song + fee can't be more than $40 and song + fee could equal to $40.
Therefore, song + fee for using an artist's site less than or equal to $40.
Final Answer: 2x+5 <= 40