Circumference of the outer circle = 2πr = 2π(6) = 12π
circumference of the outer arc = 120/360 x 12π = 12.57cm
circumference of the inner circle = 2πr = 2π(5) = 10π
circumference of the inner arc = 120/360 x 10π = 10.47 cm
Difference in length = 12.57 - 10.47 = 2.1cm (1 d.p.)
Answer: 2.1cm
Answer:
40.18
Step-by-step explanation:
According to this question, the mean of 100 observation is found to be 40. This means that the number of values in the set of data is 100. However, at the time of computation two items were wrongly taken as 30 and 27 instead of 3 and 72.
The mean is derived by dividing the sum of values in the data (Σx) by the number of observations (n) i.e.
Mean = Σx/n
For the computation error:
Mean = 40
Let x represent the sun of other 98 values except 30 and 27
n = 100
40 = x + 30 + 27/100
40 = 57 + x/100
Cross multiply
4000 = 57 + x
x = 4000 - 57
x = 3943.
Sum of other 98 values = 3943.
Now, let's find the correct mean with correct values of 3 and 72;
Mean = Σx/n
Mean = 3943 + 3 + 72/100
Mean = 4018/100
Mean = 40.18
If the integers were all the same, then each one would be 1/3 of 138 = 46 .
They're not all the same, but they're consecutive, so you can find them easily.
Just start with your 3 copies of 46, take ' 1' away from one copy, and add it
to another one. You haven't changed their sum. You just made one of your
copies 1 less than 46, and you made another one of them 1 more than 46.
Now you have 45, 46, and 47, and that sure looks like an answer to me.
Isn't that easy ... you only had to use some brain instead of a lot of messy
algebra. That's what 'Brainly' might be all about, I guess.
Answer:
( -1 , 26)
Step-by-step explanation:
So since you need to find the other endpoint, you would follow these steps:
1.) 
2.) 8 = 9 + x ( you just multiplied the 2 to the 4 to get 8)
3.) -1 = x (just solve it like a regular equation, so just subtract 9 on both sides to get rid of it and that leaves you with -1 = x)
You took the x values of both points and put them in the equation.
And its the same for y
1.) 
2.) 16 = -10 + y
3.) 26 = y (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)
