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:
a and f
Step-by-step explanation:
1500 is double 750, which is the combined calories of lunch and breakfast, which is only 1 third.
Answer:
x = StartFraction negative 5 plus or minus StartRoot 5 EndRoot Over 2 EndFraction
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
equate the function to zero
so
substitute in the formula
therefore
x = StartFraction negative 5 plus or minus StartRoot 5 EndRoot Over 2 EndFraction
