Answer:
A. the area of the large pond is 16 times the area of the small pond
Step-by-step explanation:
let's say 4 is the radius of the small circle, which means the area is 50.26548
if the large circle is 4 times the small circle, that means it's radius is 16 which means the area is 804.24772
so if you divide the big circle area by the small circle area:
804.24772/50.26548
it gives you 16.00000079577 which is rounded to 16
therefore, the bigger circle is 16 times bigger than the smaller circle
Answer:

There are no numbers because it is changing the subject of the equation.
Step-by-step explanation:


Answer:
Step-by-step explanation:
2^2=1.75^2+3^2-2*3*1.75cos x
4=3.0625+9-10.5 cosx
10.5cos x=9-4+3.0625
10.5cosx=8.0625
cos x= 8.0625/10.5≈0.77
x≈40 degrees
<u>Answer</u>:
The correct option is C : x² + (y +3)² = 9 .
<u>Step-by-step explanation:</u>
We know that the general equation for a circle is ( x - h )² + ( y -k )²= r², Where,
- r is the radius.
- (h , k) is the center.
Let the point be ( 0 , -y) , since it is on negative y axis . And the circle passes through the origin that is (0,0) . Hence the center will be 3 units down the y - axis that is ( 0 , -3) .Hence h will be 0 and y = (-3) .
Now its given that the radius of the circle is 3. So on substituting r = 3 , in standard form we have ,
⇒ ( x -h )² + ( y - k )²= r²
⇒ ( x - 0)² + { y - (-3) }² = 3²
⇒ x² + ( y + 3) ² = 3²
⇒ x² + ( y + 3)² = 9
<h3>
<u>Hence the correct option is C [ x² + ( y+3)² = 9 ] .</u></h3>
• Note that I have attached the graph of the same .
Answer:
The point that the graph does not pass through is (3,1)
Step-by-step explanation:
we have
(0, 5), (2, 2), (3, 1), and (4, -1)
Draw the points, and join them to plot the linear equation and determine which point does not belong to the line.
using a graphing tool
see the attached figure
therefore
The point that the graph does not pass through is (3,1)