Answer:
2.5 square feet
Step-by-step explanation:
The area (A) of a regular hexagon in terms of its side length (s) is ...
A = (3/2)(√3)s²
The side length in feet is ...
(30 cm)×(1 ft)/(30.48 cm) = s = 30/30.48 ft = 125/127 ft
Then the area in square feet is ...
A = (3/2)√3(125/127 ft)² ≈ 2.517 ft²
The approximate area of the hexagon is 2.5 square feet.
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<em>Comment on the question</em>
There is nothing in this problem statement that relates the hexagon to the window area.
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

The given line is:

So we have:

We find 

So, a line perpendicular to the one given is of the form:

We substitute the given point to find "b":

Finally we have:

In point-slope form we have:

ANswer:

4+3(7+4 x 2)-100
4+3(7+8)-100
4+3(15)-100
4+45-100=
-51
Answer:
11.2 miles
Step-by-step explanation:
We can create a triangle from the information given.
<u>We can call the starting point (0,0) in the coordinate system.</u>
- <u>10 mi east</u> - 10 miles to the right. then,
- <u>5 mi north</u> - 5 miles above
<em><u>See the attached picture. The direct distance is labeled as x.</u></em>
Now we need to find x using pythagorean theorem.
Pythagorean Theorem = leg²+leg²=hypotenuse²
Solving for x:

<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>
Answer:
5.5
Step-by-step explanation: