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:
By the time she achieves her 26 mile goal Andrea will have run 176 miles.
Step-by-step explanation:
Since Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon and she decides to add 2 miles each day to her distance until she achieves her goal, to determine, if she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal the following calculation should be performed:
6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 = X
14 + 22 + 30 + 38 + 46 + 26 = X
36 + 68 + 72 = X
36 + 140 = X
176 = X
So, by the time she achieves her 26 mile goal Andrea will have run 176 miles.
I think it is 13 is the answer
f(2) This means that x is 2, so you plug in 2 for x in the equation




Your answer is D
Hi student, let me help you out! :)
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We are asked to find the slope of this graph; we are provided with two points:



- What we need in order to find the slope are two points and the slope formula.
Here's the formula:

Where
y2 and y1 are y-coordinates
x2 and x1 are x-coordinates
Substitute the values:

Simplify!

Simplify more!

Hope it helps you out! :D
Ask in comments if any queries arise.
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