Answer:
C. 31.83 feet.
Step-by-step explanation:
We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.
First of all, we will find the surface area of dog pen using surface area of cylinder.
,where,
r = Radius of cylinder,
h = Height of cylinder.
Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.
Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.
Upon dividing both sides of our equation by 10 pi we will get,
Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.
Answer:
The slope of the tangent line is -3/2.
Step-by-step explanation:
The slope of a tangent line is given by the derivative evaluated at the point of tangency.
To find the derivative dy/dx, use implicit differentiation.
The derivative of the first term is 2x.
The derivative of the second term is found by using the Product Rule.
The derivative of y is dy/dx.
The derivative of 3 is 0.
Differentiating each term produces
Solve for dy/dx.
Plug in the point (1, 1).
Initially, -27 feet elevated to +164 feet.
Keep in mind, the sign.
Below: negative ; Above: positive.
At trail's end, Paula gained 191 feet of elevation.