Answer:
Answer A
Step-by-step explanation:
We see that ABC is similar to DEF. Pay attention to the order of these letters. The order that they read (left-to-right) is the order that they are similar. For example, AB is similar to DE. Despite being different triangles, they are both the <em>first two </em>letters in the triangle. So, knowing this, we can conclude that answer choice A is correct.
Answer:

Step-by-step explanation:
In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).
The formula we will use for this problem is the following:

where:


a=0

so the volume becomes:

This can be simplified to:

and the integral can be rewritten like this:

which is a standard integral so we solve it to:
![V=9\pi[tan y]\limits^\frac{\pi}{3}_0](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20y%5D%5Climits%5E%5Cfrac%7B%5Cpi%7D%7B3%7D_0)
so we get:
![V=9\pi[tan \frac{\pi}{3} - tan 0]](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20-%20tan%200%5D)
which yields:
]
Answer:
The last graph best represents the story
Step-by-step explanation:
Mary left for school from rest. So the initial speed is zero.
So we start from the origin and draw a straight line with a positive slope to running, that is as time increases , distance covered also increases.
When she is resting, her speed is zero so we draw a horizontal line to indicate this second phase of her journey.
After resting she still continued her journey to school.
This part also has a positive slope.
Step-by-step explanation:
The formula for a parallelogram is A=Base x Height
So you multiply the base, which is 6, and the height, which is 4.
A=6x4
Hope it helps!
Answer:
8/12 yard or 2/3 yard
Step-by-step explanation:
The sum of the two lengths is ...
5/12 yd + 3/12 yd = (5+3)/12 yd = 8/12 yd
This fraction can be reduced by removing a factor of 4 from numerator and denominator.
8/12 yd = 2/3 yd
If the arm portions are end-to-end, the total length is 2/3 yard.