Answer:
x = 6
Step-by-step explanation:
Angle RPG = (Arc RQ + Arc SC)/2 Interior Secant Theorem
124 = (197 + 9x - 3)/2 Substitution
124 = (194 + 9x)/2 Alg
124 = 97 + 4.5x Alg
27 = 4.5x Alg
x = 6 Alg
Hope this helped! Ask me if you didn't understand something.
Answer: |-10| < |11|
So choice C. is right.
hope this helps!
Answer:
Step-by-step explanation:
Given that,
The arc length is four times the radius
Let he radius be 'r'
Then, the arc length be 's'
The arc of a sector can be calculated using
s=θ/360 × 2πr
Then, given that s=4r
So, 4r = θ × 2πr / 360
Divide both side r
4 = θ × 2π/360
Then, make θ subject of formula
θ × 2π = 360 × 4
θ = 360 × 4 / 2π
θ = 720 / π
So, area of the sector can be determine using
A = θ / 360 × πr²
Since r = ¼s
Then,
A = (θ/360) × π × (¼s)²
A = (θ/360) × π × (s²/16)
A = θ × π × s² / 360 × 16
Since θ = 720 / π
A = (720/π) × π × s² / 360 × 16
A = 720 × π × s² / 360 × 16 × π
A = s² / 8
Then,
s² = 8A
Then,
s= √(8A)
s = 2 √2•A
In dealing with these problems, the first step to do is illustrate it. When you do, you would see a right triangle with a 55° angle between the hypotenuse and the vertical leg. Using pythagorean relations:
sin 55 = 50/x, where x is the unknown
x =50/sin55
x = 61.04 feet
Answer:
option C is your correct answer
