Answer:
14.4 cm
Step-by-step explanation:
The formula for the area of a regular hexagon in terms of its side length s is ...
... A = (3√3)/2·s²
Then the side length is ...
... s = √(2A/(3√3))
and the perimeter is ...
... P = 6s = √(8A√3)
For your area, this is ...
... P = √(8·14.96·√3) ≈ √207.292 ≈ 14.4 . . . . cm
Answer:
Step-by-step explanation:
Use the table to find the slope and y-intercept
<u>Find the slope:</u>
- m = (6 - 4)/(3 - 1) = 2/2 = 1
<u>Find b using the pair (1, 4):</u>
- 4 = 1*1 + b
- b = 4 - 1
- b = 3
<u>The line is:</u>
The y-intercept is 3
Taking into account the supplied speeds, Boston is from the destination to:
<h3>
Calculation of the
distance between
Boston and Place of
Destination</h3>
To identify the distance between Boston and the destination of the trains, it must be remembered that the <u>speed</u> mentioned for each one is a reference to the distance traveled per hour, therefore, after each hour, each train will travel :
- Regular train: 60 miles
- Express train: 80 miles
According to the information given, when the express train leaves, the regular train has a 60-mile lead, which is getting shorter hour by hour because the express train travels 20 miles per hour more than the normal train.
Therefore, in <u>three hours</u>, the express train would catch up with the regular train, calculating the distance thanks to the speed formula:
And clearing the distance:
Therefore, the destination would be <u>240 miles</u> from Boston, which would take four hours by regular train and three hours by express train.
If you want to learn more about Mathematics, you can visit the following link: brainly.com/question/24600056
Answer:
-2.225
Step-by-step explanation: