Answer:
S1=9.905 cubic units
Step-by-step explanation:
As the two solids are congruent it can be said that they have the same angles and the same lengths then their volume is equal and therefore S1= S2 then S1∪S2= S1+S2- S1∩S2 = S1+S1- S1∩S2 =2S1- S1∩S2 =25.
Now, S1∩ S2= Prism volume= (Area of triangle (A)*Height(h)), the area of the equilateral triangle that is the base of the prism is given by A=√3/4*(length Lateral) ^2= A=√3/4*(2^2 )=√3 square units .
Then S1∩ S2=A*h =√3*3=5. 19 cubic units .
Finally you have
2S1- S1∩S2 =25
2S1-5. 19=25 clearing s1 you have
S1=(25-5. 19)/2 = 9. 905 cubic units
Your number could be rounded to:
2.01
Hope it helped,
Happy homework/ study/ exam!
Answer:
i think it'll be the first one and the last one
Step-by-step explanation:
The limit of the nth term of a sequence does not exist option (D) is correct.
<h3>What is the limit?</h3>
A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have an expression:
![= \rm \dfrac{2n^5+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}](https://tex.z-dn.net/?f=%3D%20%5Crm%20%5Cdfrac%7B2n%5E5%2B25n%5E2%2B32n-15%7D%7B6n%5E4%2B2n%5E3-11n%5E2-2n%2B17%7D)
Applying limit:
![= \lim_{n \to \infty} \rm \dfrac{2n^5+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}](https://tex.z-dn.net/?f=%3D%20%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%20%5Crm%20%5Cdfrac%7B2n%5E5%2B25n%5E2%2B32n-15%7D%7B6n%5E4%2B2n%5E3-11n%5E2-2n%2B17%7D)
![=\lim _{n\to \infty \:} n \left(\dfrac{2+\dfrac{25}{n^3}+\dfrac{32}{n^4}-\dfrac{15}{n^5}}{6+\dfrac{2}{n}-\dfrac{11}{n^2}-\dfrac{2}{n^3}+\dfrac{17}{n^4}}\right)](https://tex.z-dn.net/?f=%3D%5Clim%20_%7Bn%5Cto%20%5Cinfty%20%5C%3A%7D%20n%20%5Cleft%28%5Cdfrac%7B2%2B%5Cdfrac%7B25%7D%7Bn%5E3%7D%2B%5Cdfrac%7B32%7D%7Bn%5E4%7D-%5Cdfrac%7B15%7D%7Bn%5E5%7D%7D%7B6%2B%5Cdfrac%7B2%7D%7Bn%7D-%5Cdfrac%7B11%7D%7Bn%5E2%7D-%5Cdfrac%7B2%7D%7Bn%5E3%7D%2B%5Cdfrac%7B17%7D%7Bn%5E4%7D%7D%5Cright%29)
= ∞ = The limit does not exist
Thus, the limit of the nth term of a sequence does not exist option (D) is correct.
Learn more about the limit here:
brainly.com/question/8533149
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