I can do it using trigonometry.
Draw a line from O to the point where the circle touches the base line. This will be at right angles to EF and will have length 40. Then draw a line from A parallel to the base to meet OG at H.
consider triangle OAH:-
side OH = 40-25 = 15 cm
cos < AOH = 15/40 giving m < AOH = 67.976 degrees
So m < AOB = 67.976 * 2 = 135.95 degrees
in radians this is 2.37 radians (answer)
Part B:-
Answer: 31.4
Step-by-step explanation:
C=πd
C=π×10
C=10π
C=31.4
Answer: 0
Step-by-step explanation:
Simplifying
9x2 + 49x = 22 + -5x
Reorder the terms:
49x + 9x2 = 22 + -5x
Solving
49x + 9x2 = 22 + -5x
Solving for variable 'x'.
Reorder the terms:
-22 + 49x + 5x + 9x2 = 22 + -5x + -22 + 5x
Combine like terms: 49x + 5x = 54x
-22 + 54x + 9x2 = 22 + -5x + -22 + 5x
Reorder the terms:
-22 + 54x + 9x2 = 22 + -22 + -5x + 5x
Combine like terms: 22 + -22 = 0
-22 + 54x + 9x2 = 0 + -5x + 5x
-22 + 54x + 9x2 = -5x + 5x
Combine like terms: -5x + 5x = 0
-22 + 54x + 9x2 = 0
Answer:
f(3) = 12
Step-by-step explanation:
f(x) = 2x - 12 + 2x²
f(3) = 2(3) - 12 + 2(3)²
f(3) = 6 - 12 + 2(9)
f(3) = -6 + 18
f(3) = 12
Remember that x=3 is being substituted into the equation, so you can apply this to any function rule problem for any value of x.