The correct answer is B) 9 m.
The measure of the sector of circle R is 32π/9 m. The measure of the central angle is 80°. This means that the sector is 80/360 = 2/9 of the circle. The area of a circle is given by A=πr², so the area of the sector is A=2/9πr². To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.
Using this same formula for circle S, we will work backward to find the radius:
18π = 2/9πr²
Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²
Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²
Take the square root of both sides:
√81 = √r²
9 = r
Answer:
$22.5
Step-by-step explanation:
25% of $90
25% x 90
0.25 x 90
$22.5
It is 6 sq. units. I hope you do well. Have a wonderful day.
Answer:
Step-by-step explanation:
Write an equation to find the number of each type of ticket they should sell. Let "x" be # of adult tickets; Let "y" be # of student tickets: Value Equation: 5x+3y=450- b. Graph your equation.y = (-5/3)x+150
c. Use your graph to find two different combinations of tickets sold. I'll leave that to you.
Number 16- 216
number 17- 180
number 18- 252