The formula for a circle's area is
. We are given an area of 38.465 square inches for a quarter of it.
Multiply this value by 4 to compensate for the quarter circle.


Divide both sides by pi (Note: I'm using the conventional value of 3.14)

Take the positive square root of both sides

The radius is 7 inches. Let me know if you have any questions, thanks!
Find the derivative of the curve to find the line slope at the given point
sqrt(xy) + 4 dy/dx = 39
0.5(xy)^(-0.5) * (y + x dy/dx) + 4dy/dx= 0
No need to amplify simply plug in the given point ( 1,9)
0.5 ( 1 * 9)^(-0.5)* ( 9 + dy/dx) + 4dy/dx = 0
Solve for dy/dx
1/6( 9 + dy/dx) = -4dy/dx
9 + dy/dx = -24 dy/dx
-25dy/dx = 9
dy/dx = -9/25
as your question implies , you know the rest of the steps.
Step-by-step explanation:
step 1. The square matrices are C and D.
step 2. If you add up the top rows you get 2, 8, -4 .
step 3. The answer is B.
Answer:
Red: 67%
Green: 33%
Step-by-step explanation:
Since each die has 6 sides, there is a 1/6 chance for every number.
Probability for a number higher than 3 would be 4/6, which is about 67%.
Probability for below 3 would be 2/6, which is about 33%.
I am not 100% sure, but I hope this helps you.