The area of the polygon is 48 mi2. What is the length of side a? miles
1 answer:
Answer:
Length of side a = 4.30 miles
Incomplete question:
The area of the regular polygon is 48 mi2. What is the length of side a? miles
Step-by-step explanation:
The number of sides of sides of the polygon is not given, so we will assume the polygon is an hexagon as shown in the attached image;
Given;
Area = 48 mi^2
Area of an hexagon using side a can be written as;
A = (3/2)√3×a^2
Making a the subject of formula
a = √(2/3√3 ×A)
Substituting the values
a = √(2/3√3 ×48)
a = √(32/√3)
a = 4.30 miles
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Answer:
1.) ≈ 3.652
2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.
Step-by-step explanation:
I think we may have the same class so hopefully this helps:
1.) --> law of cosines formula.
--> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.
--> in between steps.
--> more simplifying.
--> answer
2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.
Good luck! :)
First let's find the slope
Slope formula:
Given the two coordinates:
(-4,-7) (3,2)
x1,y1 x2,y2
Plug these numbers into the formula
In this case the mistake that was made was that the student wrote the slope negative instead of positive
Final answer:
<span>y-2=9/7(x-3)</span>
Slope formula:
Given the two coordinates:
(-4,-7) (3,2)
x1,y1 x2,y2
Plug these numbers into the formula
In this case the mistake that was made was that the student wrote the slope negative instead of positive
Final answer:
<span>y-2=9/7(x-3)</span>