Answer:6120
Step-by-step explanation:
take the decimal in 6.12 and move it to the right three times and thats how I got the answer
ANSWER
![S_5=91\frac{10}{81}](https://tex.z-dn.net/?f=S_5%3D91%5Cfrac%7B10%7D%7B81%7D)
EXPLANATION
The sum of the first
terms of a geometric sequence is given by;
![S_n=\frac{a_1(1-r^n)}{1-r} ,-1](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba_1%281-r%5En%29%7D%7B1-r%7D%20%2C-1%3C%5C%3Ar%3C%5C%3A1)
Where
, is the number of terms and
is the first term.
When
, we have
, we get;
![S_5=\frac{81(1-(\frac{1}{9})^5)}{1-\frac{1}{9}}](https://tex.z-dn.net/?f=S_5%3D%5Cfrac%7B81%281-%28%5Cfrac%7B1%7D%7B9%7D%29%5E5%29%7D%7B1-%5Cfrac%7B1%7D%7B9%7D%7D)
![S_5=\frac{81(1-\frac{1}{59049})}{1-\frac{1}{9}}](https://tex.z-dn.net/?f=S_5%3D%5Cfrac%7B81%281-%5Cfrac%7B1%7D%7B59049%7D%29%7D%7B1-%5Cfrac%7B1%7D%7B9%7D%7D)
![S_5=\frac{81(\frac{59048}{59049})}{\frac{8}{9}}](https://tex.z-dn.net/?f=S_5%3D%5Cfrac%7B81%28%5Cfrac%7B59048%7D%7B59049%7D%29%7D%7B%5Cfrac%7B8%7D%7B9%7D%7D)
![S_5=\frac{7381}{81}](https://tex.z-dn.net/?f=S_5%3D%5Cfrac%7B7381%7D%7B81%7D)
![S_5=91\frac{10}{81}](https://tex.z-dn.net/?f=S_5%3D91%5Cfrac%7B10%7D%7B81%7D)
Answer:
X=96
Step-by-step explanation:
180-134=46
180-130=50
SUM OF TWO INTERIOR ANGLES = EXTERIOR ANGLE
50 + 46=96
Answer:
The ratio of red to green crayons is 18 to 24 which can be reduced to 3 to 4.
Step-by-step explanation:
Answer:
270
Step-by-step explanation:
37 % of a number is the same as divide by 100 and multiply by 37. To get this number we do the opposite: divide 99.9 by 37 which gives us 27 and then multiply by 100 which will give us 270.
if we check this: 270 /100 *37 = 99,9