Answer:
![S_g= 33.333cm](https://tex.z-dn.net/?f=S_g%3D%20%2033.333cm)
Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation
![S_g=\frac{a(1-r^n)}{1-r}](https://tex.z-dn.net/?f=S_g%3D%5Cfrac%7Ba%281-r%5En%29%7D%7B1-r%7D)
Mathematically solving for total distance traveled we have
![S_g=\frac{30(1-(0.10^5)}{1-(0.10)}](https://tex.z-dn.net/?f=S_g%3D%5Cfrac%7B30%281-%280.10%5E5%29%7D%7B1-%280.10%29%7D)
![S_g=\frac{30}{0.9}](https://tex.z-dn.net/?f=S_g%3D%5Cfrac%7B30%7D%7B0.9%7D)
Therefore the total distance traveled by the pendulum after 5 swings
![S_g= 33.333cm](https://tex.z-dn.net/?f=S_g%3D%20%2033.333cm)
Answer:
0.9 , 0.088 , 0.032
Step-by-step explanation:
0.9 --> 1st greatest
0.088 --> 2nd greatest
0.032 --> 3rd greatest
So, 0.9 , 0.088 , 0.032
Answer:
○ A) 21 ft.²
Step-by-step explanation:
![{a}^{2} + 2a \sqrt{ \frac{ {a}^{2}}{4} + {h}^{2} } = S. A. \\ \\ {3}^{2} + 2(3) \sqrt{ \frac{ {3}^{2} }{4} + {2}^{2}} = 24 \\ \\ 24 ≈ 21](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%2B%202a%20%20%5Csqrt%7B%20%5Cfrac%7B%20%7Ba%7D%5E%7B2%7D%7D%7B4%7D%20%2B%20%7Bh%7D%5E%7B2%7D%20%7D%20%3D%20S.%20A.%20%5C%5C%20%20%5C%5C%20%7B3%7D%5E%7B2%7D%20%2B%202%283%29%20%5Csqrt%7B%20%5Cfrac%7B%20%7B3%7D%5E%7B2%7D%20%7D%7B4%7D%20%2B%20%20%7B2%7D%5E%7B2%7D%7D%20%3D%2024%20%5C%5C%20%20%5C%5C%2024%20%E2%89%88%2021)
I am joyous to assist you anytime.
First we need to isolate the variable so we add 15 to both sides which is
w/4=43 then we need to multiply by 4 to both sides so its 4w=172
then divide by 4 which is 43 so the answer is w=43
Looking at the graph, we know that A. 3 boxes are filled every 4 min and D. 0.75 boxes are filled per minute are the correct answers.
Hope this helps~