Well the sides of these 2 quadrilaterals are proportional to each other , so you would have to find the scale factor of the 2 then see which sides have already proportional pairs , then multiply *or / to find the last one .
Answer: D. 11.7 ft
Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
Answer:
111 spots
Step-by-step explanation:
Let y denote the total number of parking spots expressed as:

Given that x is the number of spots in the first row.
-Now, given that the first row has 32 spots, we substitute in the expression to solve for y:

Hence, there are 111 spots in the parking lot.
Answer:
2,973
Step-by-step explanation:
The black bear population B(t), in the park is modeled by the following function:

Where t is the time(in years) elapsed since the beginning of the study.
We want to determine the black bear population in 25 years time, t=25.

There will be 2,973 black bears in 25 years time.
see the attached figure to better understand the problem
we know that
The volume of the cone is equal to

in this problem

Substitute the values in the formula above

therefore
the answer is
The volume of the nose cone is 