Answer:according to the formula of inscribed angle theorem






The answer is 15 degrees
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
Answer:
Option D. 3:1, $120
Step-by-step explanation:
The complete question in the attached figure
Part 1) What is the ratio between the amount of money contributed by Anna and the amount contributed by her mother?
Let
x -----> the amount of money contributed by Anna
y ----> the amount of money contributed by her mother
we know that
Looking at the table
The value of x is equal to
The value of y is equal to
Find the ratio x/y
substitute the values
Part 2) What was the total amount saved in April?
we know that
To find out the total amount saved in April, adds Mon's contribution in April plus Anna's contribution in April
so
The greatest common fact or 32 and 96 is 2