Assume that an airplane is flying toward you at a constant height h = 1 mile and at a speed dxdt=−20 miles/hr. When the plane is 2 miles away, what is the rate of change of θ?

tan(θ)=h/x

A. dθ/dt=−6 degrees/second

B. dθ/dt=−4 degrees/second

C. dθ/dt=4 degrees/second

D. dθ/dt=6 degrees/second

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

i think the answer is true

step-by-step explanation:

could you provide figure.