Answer:

Step-by-step explanation:
The first step is to find the slant height of the cone. Using the pythagorean theorem, you can find that
cm. Plugging this into the equation, you get
. Hope this helps!
Answer:
The population in 40 years will be 1220.
Step-by-step explanation:
The population of a town grows at a rate proportional to the population present at time t.
This means that:

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.
The initial population of 500 increases by 25% in 10 years.
This means that 
We apply this to the equation and find t.




Applying ln to both sides




So

What will be the population in 40 years
This is P(40).


The population in 40 years will be 1220.
To answer this question you would need to know the formula for the area of a circle,

. You would start by squaring 400, getting 160,000. You would then multiply 160,000 by 3.14, getting 502,400 meters squared as your answer.
Answer:
7 feet
Step-by-step explanation:
Length of one piece of string = 28 feet.
Length of the second string = 42 feet.
Since the number of required pieces was not given but many are required, the greatest length can be determined by;
If the maximum length is 7 feet, then:
the number of pieces from 28 feet long string = 
= 4
Also,
the number of pieces from the 42 feet lone string = 
= 6
Total number of 7 feet strings that she can make = 4 + 6
= 10
Since many pieces are required, the greatest length she can make is 7 feet. If she increase the length to 14 feet, the number of pieces would be 5 which limit the required number.
Surface area is the area of the surfaces
the areas are
base
2 triangles (faces)
2 rectangluar sides
solve
area of base=legnth times width=16 times 9=144
area of 2 triangles is 2 times 1/2 times base times height=2 times 1/2 times 16 times 6=1 times 16 times 6=96
area of 2 rectangles=2 times legnth times width=2 times 10 times 9=180
total area=base+2 triangles+2 rectangles
total area=144+96+180=420 square inches
the answer is 420 square inches or B