Answer:
Area segment = 3/2 π - (9/4)√3 units²
Step-by-step explanation:
∵ The hexagon is regular, then it is formed by 6 equilateral Δ
∵ Area segment = area sector - area Δ
∵ Area sector = (Ф/360) × πr²
∵ Ф = 60° ⇒ central angle of the sector
∵ r = 3
∴ Area sector = (60/360) × (3)² × π = 3/2 π
∵ Area equilateral Δ = 1/4 s²√3
∵ The length of the side of the Δ = 3
∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3
∴ Area segment = 3/2 π - (9/4)√3 units²
Answer:
8
Step-by-step explanation:
Note that 2 divides into 8 evenly, yielding the quotient 4. 8 is the LCD. To combine 3/8 and 11/2, we would rewrite 11/2 as
4·11
------ = 44/8
4·2
and then combine 44/8 with 3/8. The sum would be 47/8.
In summary, the LCD of 3/8 and 11/2 is 8; 3/8 stays as is and 11/2 is rewritten by mult. numerator and denominator by 4 each.
Answer:
x`= ∑x P (x)
Step-by-step explanation:
The mean ca be calculated using the formula
x`= ∑x P (x) where x takes the value from 1,2,3,4......i
The sampling distribution is the probability distribution or the relative frequency distribution of the means X` of all possible random samples of the sample size that could be selected from a given population. The mean of this distribution is represented by Ux` and the standard deviation which is called the standard error of the mean S.E (X`)
The mean of the sampling distribution is equal to the population mean that is ux`= u whether the sampling is done with or without replacement.
<span>2x + 18 - 1 = 33
First combine like terms on the left side.
2x + 17 = 33
Now subtract 17 from both sides.
2x = 16
Lastly, divide both sides by 2.
x = 8
The answer is x = 8.</span>
I believe it would be 158 degrees. Congruent angles are the same, and supplementary angles are angles that add up to 180. So all you would have to do is subtract 22 from 180.
