Step-by-step explanation:
a. Area = 121 ft²
s² = 121
s = √121
Therefore s = 11 ft
b. Area = 81 yd²
s² = 81
s = √81
Therefore s = 9 yd
c. Area = 324 cm²
s² = 324
s = √324
Therefore s = 18 cm
d. Area = 361 mi²
s² = 361
s = √361
Therefore s = 19 MI
Answer:
The number of vocalist sang on the end of the 10th day is 6138 vocalist.
Step-by-step explanation:
Given:
Number of vocalist needed on the first day = 6
Each day after that, the number of vocalists needed doubles
To Find:
The total number of vocalist found on the 10th day = ?
Solution:
By using the geometric series
![S_n=a1\cdot\frac{1-r^n}{1-r}](https://tex.z-dn.net/?f=S_n%3Da1%5Ccdot%5Cfrac%7B1-r%5En%7D%7B1-r%7D)
Where
a is the first term
r is the ratio
n is the number of terms
On substituting the values
![S_{10}=6\cdot\frac{1-(2)^{10}}{1-2}](https://tex.z-dn.net/?f=S_%7B10%7D%3D6%5Ccdot%5Cfrac%7B1-%282%29%5E%7B10%7D%7D%7B1-2%7D)
![S_{10}=6\cdot\frac{1-(2)^{10}}{-1}](https://tex.z-dn.net/?f=S_%7B10%7D%3D6%5Ccdot%5Cfrac%7B1-%282%29%5E%7B10%7D%7D%7B-1%7D)
![S_{10}=6\cdot\frac{1-1024}{-1}](https://tex.z-dn.net/?f=S_%7B10%7D%3D6%5Ccdot%5Cfrac%7B1-1024%7D%7B-1%7D)
![S_{10}=6\cdot 1023](https://tex.z-dn.net/?f=S_%7B10%7D%3D6%5Ccdot%201023)
![S_{10}=6138](https://tex.z-dn.net/?f=S_%7B10%7D%3D6138)
That is
The first day = 6 vocalist
Second day = 12 vocalist
third day =24 vocalist
Fourth day =48 vocal list
Fifth day = 96 vocalist
Sixth day = 192 vocalist
Seventh day = 384 vocalist
eight day = 768 vocalist
Ninth day = 1536 vocalist
Tenth day = 3072 vocalist
So
6+12+24+48+96+192+384+768+1536+3072 = 6138 vocalist sang in total on the end of tenth day.
Answer: It is something that is really far away from the rest of your data
Step-by-step explanation: for example find the outlier: -1 2 3 7 10 20 the outlier is 20
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The area of the mat would 48 inches
Since before the length was 6 and now it's 8, you added 2 inches, meaning you do it to the other side too.
4 + 2 = 6
6 × 8 = 48
The width is 6 inches
The area is 48 inches