Answer:
20 feet.
Step-by-step explanation:
Pythagoreans theorem states that a^2 + b^2 = c^2
a = 12, squared = 144
b = 16, squared = 256
144 + 256 = 400
√400 = 20
20 feet is the answer.
Hope this helps.
Answer: 17.928666
Step-by-step explanation:
Answer:
The volume of the similar prism is ![336\ cm^{3}](https://tex.z-dn.net/?f=336%5C%20cm%5E%7B3%7D)
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> the volume of the larger prism
y----> the volume of the smaller prism
so
![z^{3}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B3%7D%3D%5Cfrac%7Bx%7D%7By%7D)
In this problem we have
-----> the scale factor
![y=42\ cm^{3}](https://tex.z-dn.net/?f=y%3D42%5C%20cm%5E%7B3%7D)
substitute and solve for x
![x=42(2^{3})=336\ cm^{3}](https://tex.z-dn.net/?f=x%3D42%282%5E%7B3%7D%29%3D336%5C%20cm%5E%7B3%7D)
Find the concavity changes of f(x).
Give the x-coordinates.
So, the answer to the multiple choice question is -1 and 5 since those points are where f''(x) changes sign.
Note: You can tell that you're supposed to find the concavity changes of f(x) and not f''(x) because from the graph it's obvious that the concavity of f"(x) doesn't change.
Answer:
$23.27
Step-by-step explanation:
yes