Answer:
x=8.5
Step-by-step explanation:
∠AOC=68
∠COD= (2x+5)
∠AOC and ∠COD are complimentary angles. This means that when you add them together you get 90.
∠AOC + ∠COD = 90
68 + (2x+5) =90
2x+5=22
2x=17
x=8.5
For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
Option A. would be the best answer.
Hope this helps ;)
Given:
pH = 4.2 of tomato
Required:
hydrogen-ion concentration [H+]| for tomato juice
Solution:
The formula for the pH relating hydrogen ion concentration is pH =
-log[H+] where H+ is the hydrogen ion concentration. so, substitute the value
of pH
pH = -log[H+]
4 = - log[H+]
-4 = log[H+]
10^-4 = [H+]
[H+] = 1x10^-4M
