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
Equation of the line is y=mx+b
the line passing through point (1;-2) so x=1 y=-2
m=-0.5 so put all these values in equetion and found value of b
-2=-0.5*1+b
-2=-0.5+b
b=-1.5
so equation of the line is y=-0.5x-1.5
Answer:
equation of the line is y=-0.5x-1.5
Equation that fits best in data is
.Although there are no options , kindly match this equation to options available!
<u>Step-by-step explanation:</u>
We are given a graph with y & x-axis , with 4 points given and best fit for data can be found out by joining points . On joining points , we see that best fit is a line . General equation of a line is :
,
where m = slope of line & c = intercept.
Let's calculate slope m :
Consider any two given points , let's have ( 4,0) & (3,30) :
Slope = m
⇒ m = 
⇒ m = 
⇒ m = 
So , equation now becomes :
⇒ 
at x = 0 we have y = 4



Therefore, equation that fits best in data is
.Although there are no options , kindly match this equation to options available!
Answer:
what table ..............there is no table
Answer:
28.375 (rounded to 29 grams)
Step-by-step explanation:
there are about 454 grams in a pound and 16 ounces in a pound, so to find the relationship we divide 454 by 16 to get 28.375 or about 29 grams