Answer:
56.4°
Step-by-step explanation:
sin(5/6)
= 0.98511 rad = 56.443°
Answer:
a : b = 25 : 9
Step-by-step explanation:
(3a - 5b) : (3a + 5b) = 1 : 4
Product of extremes = product of means
(3a - 5b) *4 = (3a +5b) * 1 {Distributive property}
3a * 4 - 5b*4 = 3a + 5b
12a - 20b = 3a + 5b
Add 20b to both sides
12a = 3a + 5b + 20b
12a = 3a + 25b
Subtract 3a from both sides
12a - 3a = 25b
9a = 25b

a:b = 25 : 9
Answer:
Standard Deviation = 9.1
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Step-by-step explanation:
Standard deviation = square root of variance
=
= 9.1
Answer:
Step-by-step explanation:
Let angle ABZ be angle 1 and angle ZBC be angle 2.
Angle 1 = 85 degree
Angle 2 = 6x + 9
measure of angle ABC = 24x+4
Angle 2 = ABC - 85
6x + 9 = 24x + 4 - 85
6x - 24x = 4 - 85 - 9
-18x = -90
x = -90/-18 = 90/18 =
x = 5
Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree
Therefore the measure of angle ZBC = 39 degree
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