C=2•pi• R
D=6 then the radius is 3
2•Pi•3 =18.85
Answer:
2.15%
Step-by-step explanation:
If you were to get the z-score for both 500 and 550 and then get the probability of both those z-scores. After getting the probability you would subtract both probability and get your answer.
Z-score:
550-400/2=3
500-400/2=2
Probability:
3 (from the Z-table) is .9987
2 (from the Z-table) is .9772
.9987-.9772= .0215
.0215 as a percentage is 2.15%
Angle 3: 24 degrees- the angle across from it is 24 which makes this one 24 so it’s congruent.
Angle 1 and 4: 78 degrees- on one side of these angles (the line the seperates it running parallel) the angles total to 180 degrees, we take angle 3 which was 24 and subtract that from 180. That equals 156 which we then divide into two because we have two angles left to solve for which makes 78 each.
Angle 2: 71 degrees- We know angle 3 is 24 and we have a written angle as 85. Knowing each side of these angles equals 180 degrees, we add 85 and 24 to get 109. We then will subtract 180 from 109 to get our missing angle which is 71 degrees.
I hope I could help :)
Answer:
The simplified expression is 16^-1/6
Step-by-step explanation:.
16^5/4•16^1 /4/ (16^1/2)^2
The dot means multiplication. The expression is rewritten as
16^5/4 × 16^1/4 / (16^1/2)^2
Recall the following rules of indices
1) y^a × y^b = y^(a+b)
2) (y^a)^b = y^ab
y^b/ y^a = y^(b-a)
Applying these rules of indices
16^5/4 × 16^1/4= 16^((5/4×1/4) = 16^((5/16)
(16^1/2)^2= 16^ 1/2×2 = 16^1 = 16
Therefore
16^5/4 × 16^1/4 / (16^1/2)^2
= 16^(5/16) /16
=16^(5/6) × 16^-1
= 16^ (5/6)-1
= 16^-1/6)
,The simplified expression is 16^-1/6
To determine the value of X in the given equation substitute the value of y into the equation and solve for x.
1/5x - 2/3y = 30
1/5x - 2/3(15) = 30
1/5x -10 = 30
1/5x - 10 + 10 = 30 + 10
1/5x = 40
1 = 5x • 40
1 = 200x
X = 1/200.