Answer:
How much is each pizza and how much is each drink? set up your equation as 4p+5d = (your answer)
Step-by-step explanation:
The answer is 6 and 1/15.
The hypotenuse of a 45 45 90 triangle equals one of the legs times the square root of 2
hypotenuse = 8 *
<span>
<span>
<span>
1.4142135624
</span>
</span>
</span>
hypotenuse =
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<span>
<span>
11.3137084990
</span>
</span>
</span>
Source:
http://www.1728.org/trig2.htm
An interesting question! Let's take a look at the rectangular prism first.
[Rectangular Prism]
We know that the formula for the volume of a rectangular prism is:
volume = length * width * height
or more simply
V = L*W*H
All we know is that the volume is 210 cubic meters. We can choose whatever we want for the dimensions to force it to work! We're free to do what we want!
210 = L*W*H
I like 10, that's a nice number. Let's make L = 10.
210 = 10*W*H
Hmm... but now I need W*H to be 21 (think about it, make sure you get why I say that). Well, how about W = 7 and H = 3? That should work.
210 = 10*7*3
It checks! Possible dimensions for the rectangular prism are L = 10 meters, W = 7 meters, and H = 3 meters. There are many other choices of course, but this is a possible choice.
[Triangular Prism]
Same idea, different formula. For a triangular prism, the volume is
V = 1/2 * L*W*H
But the volume is still 210 cubic meters, so we just have
210 = 1/2 * L*W*H
So, one of our dimensions is going to be cut in half. Why don't we just double L to make up for it?
210 = 1/2*(20)*W*H
And we can leave W and H the same
210 = 1/2*20*7*3
Check that it works! A possible choice is L = 20 meters, W = 7 meters and H = 3 meters.
We're done!
Answer:
it is a parallelogram
Step-by-step explanation:
so first plot out points and then you find the slope for each of the corresponding lines.
First lets find the slope for AB. you must subtract them and make it -2-1/-2-1. it ends up having a slope of 1.
Then find the slope of the corresponding side(CD). this we will subtract -2-1/3-6. this will have a slope of 1 and will be parallel to AB.
Next you find the slopes of the other two sides starting with AC. we will subtract -2-(-2)/-2-3. this will be a vertical line which means it has a slope of 0.
finally the last step is you see if BD has an equal slope to AC. you then subtract 1-1/1-6. this is also a vertical line so the slope is 0 just like AC so they are both parallel.
in conclusion there are two sets of parallel lines so you have a parallelogram
