Answer:
The smaller angle will be "156°".
Step-by-step explanation:
According to the question,
Before 12, the minute hand at 48 minutes:
= ![60-48](https://tex.z-dn.net/?f=60-48)
=
(minutes to 12)
So,
= ![12 \ minutes+14 \ minutes](https://tex.z-dn.net/?f=12%20%5C%20minutes%2B14%20%5C%20minutes)
= ![26 \ minutes](https://tex.z-dn.net/?f=26%20%5C%20minutes)
hence,
The smaller angle will be:
= ![26\times 6^{\circ} \ each](https://tex.z-dn.net/?f=26%5Ctimes%206%5E%7B%5Ccirc%7D%20%5C%20each)
= ![156^{\circ}](https://tex.z-dn.net/?f=156%5E%7B%5Ccirc%7D)
First you would take 312 and divide it by 13. Using that answer and put it over 1. Then times the answer that you just got by twelve. Then put that in a mixed number in its simplest form.
Answer:
Marianne made an inference that is true based on the data. More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.
hope it help please mark me as brainliest
Answer:
b = 2
Step-by-step explanation:
In order to find the value of b, we have to isolate b on one side of equation first
So,
![3b+2(b-1)=8](https://tex.z-dn.net/?f=3b%2B2%28b-1%29%3D8)
Multiplying 2 with b-1
![3b+2b-2=8\\5b-2=8](https://tex.z-dn.net/?f=3b%2B2b-2%3D8%5C%5C5b-2%3D8)
Adding 2 on both sides
![5b-2+2=8+2\\5b=10](https://tex.z-dn.net/?f=5b-2%2B2%3D8%2B2%5C%5C5b%3D10)
Dividing by 5 on both sides
![\frac{5b}{5}=\frac{10}{5} \\b=2](https://tex.z-dn.net/?f=%5Cfrac%7B5b%7D%7B5%7D%3D%5Cfrac%7B10%7D%7B5%7D%20%5C%5Cb%3D2)
So the value of b is 2 ..
Answer:
The sum of the first 10 terms is 4092
Step-by-step explanation:
We can use the formula for a partial sum of a geometric series of first
term and common ratio r, which is given by:
![S_n=\frac{a_1(1-r^n)}{1-r}](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba_1%281-r%5En%29%7D%7B1-r%7D)
Therefore, in this particular case where we add the first 10 terms of a geometric series with first term 4 and the common ratio 2, we have:
![S_n=\frac{a_1(1-r^n)}{1-r} \\S_10=\frac{4(1-2^{10})}{1-2} \\S_10=\frac{4(1-1024)}{1-2}\\S_10=\frac{4(-1023)}{-1}\\S_10=\frac{-4092)}{-1}\\S_10=4092](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba_1%281-r%5En%29%7D%7B1-r%7D%20%5C%5CS_10%3D%5Cfrac%7B4%281-2%5E%7B10%7D%29%7D%7B1-2%7D%20%5C%5CS_10%3D%5Cfrac%7B4%281-1024%29%7D%7B1-2%7D%5C%5CS_10%3D%5Cfrac%7B4%28-1023%29%7D%7B-1%7D%5C%5CS_10%3D%5Cfrac%7B-4092%29%7D%7B-1%7D%5C%5CS_10%3D4092)