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
Answer:
length: 13 feet
Step-by-step explanation:
width: x
length: 3x - 2
Area = Length * Width
65 = x(3x - 2)
65 = 3x² - 2x
3x² - 2x - 65 = 0
(3x + 13)( x - 5) = 0
3x + 13 = 0 and x - 5 = 0
3x = -13 x = 5
x = - 13/3
**Width cannot be a negative number so we'll discard -13/3.
width: x = 5
length: 3x - 2 = 3(5) - 2 = 13
The mean is found by dividing the sum of all terms by the number of terms present in the set.
Set up the equation:
The mean of this sequence is
5.
Answer:
its correct
Step-by-step explanation:
