Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min
Answer:
178.98 ft2
Step-by-step explanation:
we know that
The area of the circular path alone is equal to subtract the area of the circular garden from the area of the complete circle (circular garden plus circular path)
so
where
---> radius of circular garden
----> radius of the circular garden plus radius circular path
substitute
1) Considering that those points (2,k) and (k,32) determines one same line, within the plane. Therefore we can say that
2) Considering that since they pass through the origin then their x -coordinate is equal to zero, and their y coordinate as well so
3) We can state that as a matter of fact (2, k) and (K, 32) can be rewritten as (2,0) and (0,32)
k=0
Answer: 100 times greater
Step-by-step explanation:
Answer:
y = -1/2x - 2
Step-by-step explanation:
The line is negative, so the slope has to be negative. (-1/2)
You would use the equation to find the first point to plot. -1/2 times 0 is 0. 0-2 equals -2. This means that the first point would be (0,-2). This proves that the correct equation is <u><em>y = -1/2x - 2</em></u>.
