Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Answer:
9
Step-by-step explanation:
18:2
?:1
?=9
Answer:
C) 16π ft
Step-by-step explanation:
Fencing is perimeter. The perimeter of a circle is the circumference.
The circumference of a circle is pi time diameter
C= pi*d
We know the diameter is 16
C = 16*pi ft
We will need 16 pi ft of fencing
These triangles are congruent by AAS condition hence the statement is true
