Answer:
The rate rate of change of radius is
inches per second when the diameter is 12 inches.
The radius is changing more rapidly when the diameter is 12 inches.
Step-by-step explanation:
Consider the provided information.
A spherical balloon is being inflated at a rate of 3 cubic inches per second.
The volume of sphere is 
Differentiate the above formula with respect to time.

Substitute the respective values in the above formula,


The rate rate of change of radius is
inches per second when the diameter is 12 inches.
When d=16


Thus, the radius is changing more rapidly when the diameter is 12 inches.
Answer:
multiply and see what you get
Answer: 131.1287 square mm (approx)
Step-by-step explanation:
The area of a triangle,

Where
and
are adjacent sides and
is the include angle of these sides,
Here PR and QR are adjacent sides and ∠R is the included angle of these sides,
Thus, we can write,
,
and
,
Thus, the area of the triangle PQR,


The drawbridge will be at an incline of 10.56 degrees. That is 5.56 degrees more than it's initial incline of 5 degrees.
If you draw a picture of this situation, you will see that you can write a sine ratio with the 11 and 60 (opposite over hypotenuse)
sin(x) = 11/60 Solve the equation for x
x = 10.56