The area of a circular oil slick on the surface of the sea is increasing at a rate of [150m^2/s] how fast is the radius changing when:

a) the radius is 25 m

b) the area is [1000 m^2]

Answer with Step-by-step explanation:

We are given that

a.Radius =25 m

We have to find rate of change of radius.

We know that

Area of circle,

Differentiate w.r.t time

Substitute the values then we get

b.A=

Substitute the values then we get

Substitute the values then we get

m/s

m/s

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.