Answer:
195.25
Step-by-step explanation:
Consider geometric series S(n) where initial term is a
So S(n)=a+ar^1+...ar^n
Factor out a
S(n)=a(1+r+r^2...+r^n)
Multiply by r
S(n)r=a(r+r^2+r^3...+r^n+r^n+1)
Subtract S(n) from S(n)r
Note that only 1 and rn^1 remain.
S(n)r-S(n)=a(r^n+1 -1)
Factor out S(n)
S(n)(r-1)=a(r^n+1 -1)
The formula now shows S(n)=a(r^n+1 -1)/(r-1)
Now use the formula for the problem
10•4=40. 40 is the perimeter of the square. To find the perimeter of the semicircle use the circle perimeter (circumference) formula and divide that answer by two. This would be pi•10. You get 31.4. Then divide by 2 so it’s 15.7. Finally add 15.7 and 40. Hope this helps... sorry it’s such a long answer
Answer:
(-8x+7y)(−8x+7y)+(2x-2y)(2x−2y)= simplified - 68x^2+53y^2−120xy
I hope this helps ! <3
Step-by-step explanation:
B=36
prisms give me the most difficulty
(3/8)³ = (3/8)(3/8)(3/8)
Multiply across:
(3/8) x (3/8) = 9/64
Simplify:
(9/64)(3/8) = 27/512
27/512 is your fraction answer (cannot be reduced).
To find the decimal answer, divide:
27/512 = 0.05
0.05 (rounded) is your decimal answer
hope this helps
