The process of expressing w in terms of A and l is called transposition or changing the subject of the formula. The methods used to change the subject of the formula are the same as those used for solving equations.
Answer:
18.85 rounded
Step-by-step explanation:
The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:
L / Θ = C / 2π
As circumference C = 2πr,
L / Θ = 2πr / 2π
L / Θ = r
We find out the arc length formula when multiplying this equation by Θ:
L = r * Θ
Hence, the arc length is equal to radius multiplied by the central angle (in radians).
These are vertical angles, so they are equal in measurements.
First, simplify [2(x + 10)]
Distribute 2 to all terms within the parenthesis
2(x + 10) = 2x + 20
Next, place both expressions equal to each other
2x + 20 = 3x - 30
Solve for x. Isolate the variable. Subtract 3x and 20 from both sides
2x (-3x) + 20 (-20) = 3x (-3x) - 30 (-20)
2x - 3x = -30 - 20
Simplify
-x = -50
Isolate the x. Divide -1 from both sides
-x/-1 = -50/-1
x = 50
50 is your answer for x
hope this helps
