Answer:
First answer: The sum of the two angles equals 70 degrees.
Second answer: The complimentary angle is 45.6, and the supplementary angle is 135.6.
I hope this helps! :)
As far as steps i’ll tell you in the comments
Answer:
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Step-by-step explanation
Since we are reflecting across the x axis, all of the y coordinates will remain the same. You find the distance away from the x = 4, double it, and add that value to x. So,
X' is now (8,3)
Y' is now (6,0)
Z' is now (4,2) because its x was 0, and anything * 0 = 0 so it does not move.
Can you tell us what the expression is in the question?
Answer:
x = 500 yd
y = 250 yd
A(max) = 125000 yd²
Step-by-step explanation:
Let´s call x the side parallel to the stream ( only one side to be fenced )
y the other side of the rectangular area
Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)
p = x + 2*y
1000 = x + 2 * y ⇒ y = (1000 - x )/ 2
And A(r) = x * y
Are as fuction of x
A(x) = x * ( 1000 - x ) / 2
A(x) = 1000*x / 2 - x² / 2
A´(x) = 500 - 2*x/2
A´(x) = 0 500 - x = 0
x = 500 yd
To find out if this value will bring function A to a maximum value we get the second derivative
C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500
The side y = ( 1000 - x ) / 2
y = 500/ 2
y = 250 yd
A(max) = 250 * 500
A(max) = 125000 yd²
