Union of two sets R and S is the set which contains all element, which are in either set R or S. The symbol for union is ∪, so t<span>he </span>union of two sets is written as R∪S.
<span>In our case, the sets are:
R = {10, 15, 20}
S = {20, 25}
The union for the sets R and S are:
</span><span>D. {10, 15, 20, 25}
Intersection on the other hand is the set that contains the elements that belong both in set R and set S. </span>
Answer:
16
Step-by-step explanation:
Answer:
Option B. is the answer.
Step-by-step explanation:
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Since coordinates of the point representing rock is (3, 2) and coordinates of the tree are (16, 21) and treasure divides the line joining rock and tree in the ratio of 5:9.
We know the formula to get the coordinates of point P(x, y) joining (a, b) and (c, d) in the ratio of m : n is
P(x, y) = ![[\frac{(mc+na)}{m+n}, \frac{(md+nb)}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28mc%2Bna%29%7D%7Bm%2Bn%7D%2C%20%5Cfrac%7B%28md%2Bnb%29%7D%7Bm%2Bn%7D%5D)
From the given formula,
Coordinates of treasure P = ![[\frac{((5\times 16)+(9\times 3)}{(5+9)}, \frac{(5\times 21)+(9\times 2)}{(5+9)}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28%285%5Ctimes%2016%29%2B%289%5Ctimes%203%29%7D%7B%285%2B9%29%7D%2C%20%5Cfrac%7B%285%5Ctimes%2021%29%2B%289%5Ctimes%202%29%7D%7B%285%2B9%29%7D%5D)
= ![[\frac{(80)+(27)}{(14)}, \frac{(105)+(18)}{(14)}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%2880%29%2B%2827%29%7D%7B%2814%29%7D%2C%20%5Cfrac%7B%28105%29%2B%2818%29%7D%7B%2814%29%7D%5D)
= ![[7.64, 8.78]](https://tex.z-dn.net/?f=%5B7.64%2C%208.78%5D)
≈ (7.6, 8.8)
Therefore, Option B will be the answer.
Answer:
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Step-by-step explanation:
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First, we need the volume of the room. We get this by multiplying the length, width, and height. This gives us 18,000 ft^3. Now, we see how many BTUs were created. We do this by multiplying 2,200 by 20. This gives us 44,000. Now, we divide 44,000 by 18,000 to get our answer, which is 2.44 BTUs/ft^3, or C.