Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is 
.
We know that the circle is tangent to the 
axis at 
That means the x coordinate of the center has to be 
, as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is 
and a point on the edge of the circle (the tangent point) which is . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is 
where 
is the center and 
is the radius. When we put the numbers in: we get 
which can be simplified into which is the answer.
Step-by-step explanation:
1/10 of an hour (D) is correct. Hope this helped :)
Answer:
0.45
Step-by-step explanation:
9/20 is the same as 0.45
The area the goat can graze is 1/2π(50)²= 1250π sq. feet
The rope length is 50 feet again, thus the results are the same.
1/2π(50)²= 1250π sq. feet
Answer:
c=4√2
Step-by-step explanation:
Sine the triangle is a right triangle you can use the Pythagorean theorem. a^2+b^2=c^2
(4)^2+(4)^2=c^2
16+16=c^2
32=c^2
c=√32
c=4√2
