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isabelperez063
25.10.2019 •
Mathematics
Two congruent solids s1 and s2 have the property that s1∩s2 is a right triangular prism with height 3 and a base that is an equilateral triangle of side length 2. if the volume of s1∪s2 is 25 units3, find the volume of s1.
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Ответ:
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
Ответ:
x=60
Step-by-step explanation:
So basically the sum of interior angle of a triangle is 180.
Add all the values and make it equal to 180.
x+3/2x+1/2x=180
Then find x
3x=180
x=180/3
x=60 degrees