Answer:
50
Step-by-step explanation:
a pentagon has a total of 540 degrees
105, 115, 110, 180-2x, 180-3x are the interior angles (subtract each from 180 because they're on lines)
540= 105+115+110+(180-2x)+(180-3x)
540=330 +(180-2x)+(180-3x)
210=360-5x
-150=-5x
50=x
Answer:
1.3(x + 2) = 12
2.3x + 6 = 12
3.3x = 6
4.x=2
Step-by-step explanation:
The LCM of 6 and 4 is 12. The LCM of 6 and 8 is 24. The LCM of 6 and 10 is 30.
To find the LCM, we find the prime factorization of each number.
6 = 2*3
4 = 2*2
They have a 2 in common, so this is one factor of the LCM. We then take the uncommon factors, 3 and 2, giving us
2*3*2 = 12.
6 = 2*3
8 = 2*2*2
LCM = 2 (in common) * 3 * 2 * 2 (uncommon) = 24.
6 = 3*2
10 = 5*2
LCM = 2 (in common) * 3 * 5 (uncommon) = 30.
Answer:
3.1623 (sqrt(10))
Step-by-step explanation:
Standard Deviation is calculated by first squaring the differences between the observations and the mean and then taking the square root of the sum of the squares of the differences divided by the number of observations - 1.
Mean = Sum of Observations/Total Observations
Mean = (5 + 7 + 9 + 11 + 13)/5 = 45/5 = 9.
Square of the mean = 9^2 = 81.
Now subtracting the mean from each observation and squaring it gives:
(5 - 9)^2 = (-4)^2 = 16
(7 - 9)^2 = (-2)^2 = 4
(9 - 9)^2 = (0)^2 = 0
(11 - 9)^2 = (2)^2 = 4
(13 - 9)^2 = (4)^2 = 16
Sum of squares = 16 + 4 + 0 + 4 + 16 = 40.
Standard deviation = sqrt(40/4) = sqrt(10) = 3.16 (correct to 2 decimal places).
Therefore, answer is 3.16!!!
This would be 14137.17.
V=4/3 x π x r^3 = 4/3 x π x 15^3 ≈ 14137.16694
