Answer:
the amplitude of the function is 2.5
To convert the angle in radian measure to degree measure, multiply it by 180/π.
The given angle in radian measure is 257π/360 . Multiply it by 180/π to get the angle in degrees.
So,
The angle in degrees = 257π/360 x 180/π = 257/2 = 128.5 degrees
You can use the Pythagorean Theorem. Which is a^2 + b^2 = c^2.
So now to plug in the equation.
In your case a is 8 and c is 34. So now we need to solve for b.
8 squared is equal to 64.
34 squared is equal to 1156.
Now to plug things in.
64 + b^2 = 1156
Now subtract 64 from 1156.
That equals 1092.
The equation is now
b^2 = 1092
Now do the square root of 1092.
But since the square root is an irrational number you can just write b = 1092 ( but put a square root with 1092)
Answer:
∠ ABD = 37° , ∠ DBC = 58°
Step-by-step explanation:
∠ ABD + ∠ DBC = ∠ ABC , substitute values
2x + 23 + 9x - 5 = 95 , that is
11x + 18 = 95 ( subtract 18 from both sides )
11x = 77 ( divide both sides by 11 )
x = 7
Then
∠ ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37°
∠ DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58°
10 is a and 9 is d 100% correct!