<span>(x-h)^2 + (y-k)^2 = r^2
</span><span>where r is the radius of the circle, </span>
<span>and h,k are the coordinates of its center;
( x - 8 )^2 + ( y - ( - 2 ) )^2 = 1 ^2 ;
r = 1 ;
h = 8 ; k = - 2.</span>
Answer:
1. 60 cm^2
2. 132.67 cm^2
3. 72.67 cm^2
Step-by-step explanation:
1. Area of rectangle
A = LW = 5 cm * 12 cm = 60 cm^2
2. Area of circle
A = (pi)r^2 = 3.14(6.5 cm)^2 = 132.67 cm^2
3. Area of shaded region
A = area of circle - area of rectangle
A = 132.7 cm^2 - 60 cm^2 = 72.67 cm^2
we are given
For finding inverse function , we do following steps
step-1:
Set f(x)=y
step-2:
Switch x and y
step-3:
now, we can solve for y
Multiply both sides by 9y-2
Add both sides by 2x
now, we can divide both sides by 9x
so, we get inverse function as
................Answer
Answer:
C. k=68, t=52
Step-by-step explanation:
Let u, v, y represent the measures of the unmarked angles at the respective vertices. The angles of the equiangular triangle are all 180°/3 = 60°, so we have the relations ...
- y=v
- y+v+k = 180
- v+64+60 = 180
- u=64
- u+64+t = 180
From these relations, we know that
... v = 180 -124 = 56 . . . . . 3rd equation above
... 56 +56 +k = 180 . . . . . . 2nd equation above, with y=v=56
... k = 180 -112 = 68 . . . . . above with 112 subtracted
... t = 180 -128 = 52 . . . . . 5th equation above with u=64 and 128 subtracted
