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velikii [3]
3 years ago
15

The area of the polygon is 48 mi2. What is the length of side a? miles

Mathematics
1 answer:
AlekseyPX3 years ago
4 0

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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Gnoma [55]
No the vertex should be at (-3,-2) (I checked on my calculator)
5 0
3 years ago
A Copy of machine produces 80 copies in 5 minutes. How many copies would be produced in 40 minutes?
BlackZzzverrR [31]
The answer would be 640. To find the number of how many copies are produced in 1 minute you have to write 80 divided by 5 which equals 16. Now you multiply 16 and the 40 minutes which gives you 640 copies.

6 0
3 years ago
Read 2 more answers
1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle m
LUCKY_DIMON [66]

Answer:

1.) \sqrt{13.341}  ≈ 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.) a^2 = b^2 + c^2 - 2bccosA --> law of cosines formula.

   a^2 = 3^2 + 3^2 - 2(3)(3)cos(75) --> 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.

   a^2 = 18 - 18cos75 --> in between steps.

   a^2 = 13.341 --> more simplifying.

   a(hypotenuse) = \sqrt{13.341} or 3.652 --> 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! :)

   

6 0
3 years ago
Which statement is correct about relations and functions?
vitfil [10]
1. all functions are relations.

2.
-7 + 3(-12) ÷ (-3)
-7 - 36 ÷ -3
-7 - (-12)
-7 + 12
5  

3.
 f(n) = n² - n    f(-4)
f(-4) = -4² - (-4)
f(-4) = 16 - (-4)
f(-4) = 16 + 4
f(-4) = 20

hope this helped, God bless!
6 0
3 years ago
When asked to write a point slope equation for a line passing through the points (-4,-7) and (3,2) a student wrote y-2=-9/7(x-3)
AleksAgata [21]
First let's find the slope
Slope formula: 
\frac{y_2-y_1}{x_2-x_1} =slope
Given the two coordinates: 
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 x1,y1  x2,y2

Plug these numbers into the formula
\frac{2-(-7)}{3-(-4)} = \frac{9}{7}
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>
8 0
3 years ago
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