We know that, in the US, the average mile per gallon was 25 mpg in 2015. Since we don't have the mile per gallon of the car in our problem, we are going to use that average.
For our first situation, <span>drive 0.3 miles to fill up for $3.59 per gallon:
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<span>We just proved that in our trip, we used 0.012 gallon, and at $3.59 per gallon; we will pay (0.012)(3.59)=$0.04 for that gasoline.
For our second situation, </span><span>drive 1.2 miles to fill up for $3.41 per gallon:
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We just proved that in our trip, we used 0.048 gallon, and at $3.41 per gallon; we will pay (0.048)(3.41)=$0.16 for that gasoline.
We can conclude that is much better to drive 0.3 miles to fill up for $3.59 per gallon than drive <span>1.2 miles to fill up for $3.41 per gallon.</span>
Answer:
cos(m∠B) = 2√5/5
Step-by-step explanation:
Easiest way is to guess and check on this problem. When you take the cos(m∠B), you would get 6/3√5, rationalized to 2√5/5. That would be the correct answer.
Answer:
t=-19/7
Step-by-step explanation:
you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7
we know that anything divided by itself is 1 so we get -19/7=t
This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.
The answer is 108 as your surface area.
Work:
To find surface area, you find the area of each side and add it all together. For the bottom and the top sides, it’s 6 x 3 which equals to 18. 18 + 18 = 36. Then, 3 x 4 = 12. 12 + 12 = 24. 6 x 4 = 24. 24 + 24 = 48. Then, you add it all together which equals to 108. If what I did doesn’t makes sense, I’ll explain it more detailed here.
So, I found the area of the bottom side and multiplied it by 2 to represent the top and bottom sides. Then, I did the same thing for the other sides if that makes sense. I’m really sorry if I’m not explaining it well. I’m better at doing the work in my head and not on paper or explaining it to other people.
Anyway, hope this helps!
Given the radius, circumference can be solved by the equation, C = 2πr. The circumference of the circle above is C = 2π(8 in) = 16<span>π in. To solve for the length of the segment joining the arc is the circumference times the ratio of central angle and 360 degrees.
Length of the segment = (16</span>π in)(60/360) = 8/3 <span>π in
Thus, the length of the segment is approximately 8.36 in. </span>