<span>Sum of Interior Angles = (Number of Sides -2) • 180 degrees
</span>
<span>Number of Sides = [Sum of Interior Angles / 180 degrees] +2
</span><span>Number of Sides = (5,400 / 180) +2
</span><span>Number of Sides = 32
Source:
http://www.1728.org/polygon.htm
</span>
Answer:
the slope is -2
Step-by-step explanation:
(1,0) (0,2)
<u>
</u>
<u>[tex] \frac{2 - 0}{0 - 1} = - \frac{2}{ 1} = </u><u>-</u><u>2</u><u>/tex]</u>
Answer:
Dimensions :
x (the longer side, only one side with fence ) = 90 ft
y ( the shorter side two sides with fence ) = 45 ft
Total fence used 45 * 2 + 90 = 180 ft
A(max) =
Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.
Lets call "x" one the longer side ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side
Then we have:
P = perimeter = 180 = 2y + x ⇒ y = ( 180 - x ) / 2 (1)
And A (r) = x * y
A(x) = x * ( 180 - x ) /2 ⇒ A(x) = (180/2) *x - x² / 2
Taking derivatives on both sides of the equation :
A´(x) = 90 - x
Then if A´(x) = 0 ⇒ 90 - x = 0 ⇒ x = 90 ft
and from : y = ( 180 - x ) / 2 ⇒ y = 90/2
y = 45 ft
And
A(max) = 90 * 45 = 4050 ft²
Answer:
x - 5
Step-by-step explanation:
x^2 - 3x - 10
= (x + 2)(x - 5)
Sine the width is (x + 2), the length is (x - 5).
Hope this helped!

in exponent form and in word form it is 10 to the 5th power