Answer:
Step-by-step explanation:
The circumference of the tree is the distance around the tree's circular top. The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
If the tree has a circumference of 16 ft, it means that
2πr = 16
πr = 16/2 = 8
r = 8/π
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
if the tree is 10ft tall, then the volume of wood it contains is
Volume = π × (8/π)² × 10
Volume = 64/π × 10
Volume = 64/3.14 × 10
Volume = 204 cubic feet
Answer: Choice A -- f(x) = (1/3)*|x|
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The input of a function is x and the output is y = f(x)
To vertically compress a function, we will multiply the y value by some fraction smaller than 1. This is so that the y coordinates are a fraction of what they once were.
In this case, we multiply y by 1/3 so that something that has a y coordinate of y = 81 becomes y = 27 (divide by 3)
So we have y = f(x) become (1/3)*y = (1/3)*f(x) = (1/3)*|x|
15^2 + 36^2 = 39^2
Your answer is 39
N = ((n-1) + 4) + 4, to my understanding.
although your answers seem right written in the columns, but your method of applying numbers to equation seems incorrect in 'expand' column. for example, answer for 3 should be something like this...
3 21 17+4
4 25 21+4
hope it helps.