Answer:
We get value p=16
Step-by-step explanation:
When triangles are similar, the ratio of corresponding sides is equal.
In the given triangles we have to find value of p
We have the ratio: (Can use ratio of any two sides)
Now, putting values and finding p
So, we get value p=16
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![\large\begin{array}{l}\\\\ \textsf{Therefore,}\\\\ \mathsf{\#\big[S\cap (A\cup B)\big]}\\\\ =\mathsf{\#\big[(S\cap A)\cup(S\cap B)\big]}\\\\ =\mathsf{\#(S\cap A)+\#(S\cap B)-\#\big[(S\cap A)\cap(S\cap B)\big]}\\\\ =\mathsf{350+100-50}\\\\ =\mathsf{450-50}\\\\ =\mathsf{400~elements.}\\\\\\ \textsf{There are 400 integers in S that are divisible by 2 or 7.} \end{array}](https://tex.z-dn.net/?f=%5Clarge%5Cbegin%7Barray%7D%7Bl%7D%5C%5C%5C%5C%20%5Ctextsf%7BTherefore%2C%7D%5C%5C%5C%5C%20%5Cmathsf%7B%5C%23%5Cbig%5BS%5Ccap%20%28A%5Ccup%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B%5C%23%5Cbig%5B%28S%5Ccap%20A%29%5Ccup%28S%5Ccap%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B%5C%23%28S%5Ccap%20A%29%2B%5C%23%28S%5Ccap%20B%29-%5C%23%5Cbig%5B%28S%5Ccap%20A%29%5Ccap%28S%5Ccap%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B350%2B100-50%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B450-50%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B400~elements.%7D%5C%5C%5C%5C%5C%5C%20%5Ctextsf%7BThere%20are%20400%20integers%20in%20S%20that%20are%20divisible%20by%202%20or%207.%7D%20%5Cend%7Barray%7D)
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Tags: <em>set theory divibilility divisible integers union intersection</em>
<span>3 + (-1/4)² ÷ 1/2
= </span><span>3 + 1/16 * 2
= 3 + 1/8
= 3 1/8
answer
</span><span>D. 3 1/8</span>
Answer:
You have to use this formula v = ⁴⁄₃πr³ or another way would be by entering the value of the radius in google calculator.
Step-by-step explanation:
Hope this helped :)
